Institute for Numerical Simulation
Rheinische Friedrich-Wilhelms-Universität Bonn
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INS Preprints

The following listing shows only those publications which are uniquely identified by an INS preprint number.
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All INS Preprints

[1] S. Hosseini, D. R. Luke, and A. Uschmajew. Tangent and normal cones for low-rank matrices. Oct. 2017. INS Preprint No. 1715.
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[2] B. Bohn, M. Griebel, and C. Rieger. A representer theorem for deep kernel learning. 2017. Submitted to Journal of Machine Learning Research. Also available as INS Preprint No. 1714.
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[3] P.-A. Absil and S. Hosseini. A collection of nonsmooth Riemannian optimization problems. Sept. 2017. INS Preprint No. 1713.
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[4] I. V. Oseledets, M. V. Rakhuba, and A. Uschmajew. Alternating least squares as moving subspace correction. Sept. 2017. INS Preprint No. 1712.
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[5] B. Bohn. On the convergence rate of sparse grid least squares regression. Lecture Notes in Computational Science and Engineering. Springer, 2017. submitted to Proceedings of the fourth workshop on sparse grids and applications, also available as INS Preprint No. 1711.
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[6] J. Garcke and I. Kalmykov. Efficient higher order time discretization schemes for Hamilton-Jacobi-Bellman equations based on diagonally implicit symplectic Runge-Kutta methods. 2017. INS Preprint No. 1710.
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[7] E. Kieri and B. Vandereycken. Projection methods for dynamical low-rank approximation of high-dimensional problems. July 2017. INS Preprint No. 1709.
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[8] M. Griebel and H. Harbrecht. Singular value decomposition versus sparse grids: Refined complexity estimates. 2017. Submitted to IMA Journal of Numerical Analysis. Also available as INS Preprint No. 1708.
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[9] Z. Li, Y. Nakatsukasa, T. Soma, and A. Uschmajew. On orthogonal tensors and best rank-one approximation ratio. July 2017. INS Preprint No. 1707.
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[10] B. Brown, M. Griebel, F. Y. Kuo, and I. H. Sloan. On the expected uniform error of geometric Brownian motion approximated by the Lévy-Ciesielski construction. 2017. INS Preprint No. 1706. Submitted to Journal of Complexity.
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[11] L. Bonifacius and I. Neitzel. Second order optimality conditions for optimal control of quasilinear parabolic pdes. Mathematical Control and Related Fields, 2017. Accepted. Preprint version available as INS Preprint No. 1705.
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[12] G. Li. Low-rank approximation to heterogeneous elliptic problems. 2017. INS preprint No. 1704.
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[13] D. Dũng, M. Griebel, V. N. Huy, and C. Rieger. ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. 2017. submitted to Journal of Complexity, also available as INS Preprint No. 1703.
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[14] D. Gallistl and D. Peterseim. Numerical stochastic homogenization by quasi-local effective diffusion tensors. 2017. INS Preprint No. 1701.
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[15] P. Diehl, R. Lipton, and M. A. Schweitzer. Numerical verification of a bond-based softening peridynamic model for small displacements: Deducing material parameters from classical linear theory. Technical report, Institut für Numerische Simulation, 2016.
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[16] P. Diehl, M. Bußler, D. Pflüger, S. Frey, T. Ertl, F. Sadlo, and M. A. Schweitzer. Extraction of fragments and waves after impact damage in particle-based simulations. In Meshfree Methods for Partial Differential Equations VIII, pages 17-34. Springer International Publishing, 2017. Also available as INS Preprint No. 1629.
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[17] P. Diehl and M. A. Schweitzer. Simulation of wave propagation and impact damage in brittle materials using peridynamics. In M. Mehl, M. Bischoff, and M. Schäfer, editors, Recent Trends in Computational Engineering - CE2014, Lecture Notes in Computational Science and Engineering, pages 251-265. Springer, 2015. Also available as INS Preprint No. 1628.
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[18] M. Griebel, C. Rieger, and A. Schier. Upwind schemes for scalar advection-dominated problems in the discrete exterior calculus. In D. Bothe and A. Reusken, editors, Transport Processes at Fluidic Interfaces, pages 145-175. Springer International Publishing, 2017. also available as INS Preprint No. 1627.
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[19] S. Hosseini, W. Huang, and R. Yousefpour. Line search algorithms for locally Lipschitz functions on Riemannian manifolds. Nov. 2016. INS Preprint No. 1626. Revised version, August 2017.
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[20] S. Beuchler and K. Hofer. Additive schwarz solvers for hp-fem discretizations of pde-constrained optimzation problems. Technical report, INS, 2016. also avaiable as INS-Preprint 1625.
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[21] S. Hosseini and A. Uschmajew. A gradient sampling method on algebraic varieties and application to nonsmooth low-rank optimization. Oct. 2016. INS Preprint No. 1624. Extended and revised version, March 2017.
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[22] A. Rüttgers and M. Griebel. Multiscale simulation of polymeric fluids using the sparse grid combination technique. Applied Mathematics and Computation, 319:425-443, 2018. also available as INS Preprint No. 1623.
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[23] M. Burkow and M. Griebel. Numerical simulation of the temporal evolution of a three dimensional barchanoid dune and the corresponding sediment dynamics. 2016. Submitted to Computers and Fluids. Also available as INS Preprint No. 1622.
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[24] P. Henning and D. Peterseim. Crank-Nicolson Galerkin approximations to nonlinear Schrödinger equations with disorder potentials. 2016. INS Preprint No. 1621.
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[25] D. Brown and D. Gallistl. Multiscale sub-grid correction method for time-harmonic high-frequency elastodynamics with wavenumber explicit bounds. 2016. INS Preprint No. 1620.
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[26] D. Gallistl and D. Peterseim. Computation of local and quasi-local effective diffusion tensors in elliptic homogenization. 2016. INS Preprint No. 1619.
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[27] P. Oswald. Nonconforming p1 elements on distorted triangulations: Lower bounds for the discrete energy norm error. 2016. INS Preprint No. 1618.
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[28] M. Griebel and P. Oswald. Stable splittings of Hilbert spaces of functions of infinitely many variables. Journal of Complexity, 41:126-151, 2017. Also available as INS Preprint No. 1617.
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[29] W. Hackbusch, D. Kressner, and A. Uschmajew. Perturbation of higher-order singular values. SIAM J. Appl. Algebra Geom., 1(1):374-387, 2017. INS Preprint No. 1616.
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[30] D. Gallistl. Variational formulation and numerical analysis of linear elliptic equations in nondivergence form with Cordes coefficients. Siam J. Numer. Anal., 2017. Accepted for publication.
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[31] G. Li, D. Peterseim, and M. Schedensack. Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d. ArXiv e-prints, 2016. Also available as INS Preprint No. 1612.
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[32] G. Li, D. Peterseim, and M. Schedensack. Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d. ArXiv e-prints, 2016. Also available as INS Preprint No. 1612.
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[33] P. Hennig, M. Kästner, P. Morgenstern, and D. Peterseim. Adaptive Mesh Refinement Strategies in Isogeometric Analysis - A Computational Comparison. Comp. Meth. Appl. Mech. Eng., 316:424–-448, 2017.
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[34] C. Rieger and H. Wendland. Sampling inequalities for sparse grids. Numerische Mathematik, 2017. Also available as INS preprint no. 1609.
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[35] M. Gubisch, I. Neitzel, and S. Volkwein. A-posteriori error estimation of discrete pod models for pde-constrained optimal control. In Model reduction and approximation: theory and algorithms, Computational Science and Engineering. SIAM. accepted. Preprint version available as INS Preprint No. 1608.
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[36] I. Neitzel and W. Wollner. A priori l2-discretization error estimates for the state in elliptic optimization problems with pointwise inequality state constraints. Numer. Math., online first, 2017. also available as INS Preprint No. 1606.
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[37] F. Ludovici, I. Neitzel, and W. Wollner. A priori error estimates for state constrained semilinear parabolic optimal control problems. 2016. in revision, also available as INS Preprint No. 1605.
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[38] J. Barker, J. Bulin, J. Hamaekers, and S. Mathias. Localized Coulomb descriptors for the Gaussian approximation potential. 2016. Submitted, also available as INS Preprint No. 1604, Institute for Numerical Simulation, University of Bonn.
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[39] D. Peterseim and R. Scheichl. Robust numerical upscaling of elliptic multiscale problems at high contrast. Computational Methods in Applied Mathematics, 16:579-603, 2016.
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[40] D. Peterseim and M. Schedensack. Relaxing the CFL condition for the wave equation on adaptive meshes. J. Sci. Comput., 2017. Online First.
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[41] M. Griebel, J. Hamaekers, and R. Chinnamsetty. An adaptive multiscale approach for electronic structure methods. 2016. Submitted to SIAM Journal of Multiscale Modelling and Simulation. Also available as INS Preprint No. 1601, Institute for Numerical Simulation, University of Bonn.
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[42] D. Gallistl. Stable splitting of polyharmonic operators by generalized Stokes systems. Math. Comp., 2016. Accepted for publication. Also available INS Preprint No. 1529.
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[43] M. Schedensack. A new discretization for mth-Laplace equations with arbitrary polynomial degrees. SIAM J. Numer. Anal., 54(4):2138-2162, 2016. Also available as INS Preprint No. 1528 and arXiv e-print 1512.06513.
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[44] D. Gallistl, P. Huber, and D. Peterseim. On the stability of the Rayleigh-Ritz method for eigenvalues. 2017. Accepted for publication in Numerische Mathematik. Available as INS Preprint No. 1527.
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[45] D. Brown, D. Gallistl, and D. Peterseim. Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VII, Lecture Notes in Computational Science and Engineering. 2016. Accepted for publication. Also available as INS Preprint No. 1526.
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[46] J. Barker, G. Bollerhey, and J. Hamaekers. A multilevel approach to the evolutionary generation of polycrystalline structures. Computational Materials Science, 114:54-63, 2016. also available as INS Preprint No. 1525.
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[47] R. Iza-Teran and J. Garcke. Operator based multi-scale analysis of simulation bundles. 2015. Submitted, also available as INS Preprint No. 1524.
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[48] S. Hosseini. Convergence of nonsmooth descent methods via Kurdyka-Lojasiewicz inequality on Riemannian manifolds. Nov. 2015. INS Preprint No. 1523. Revised version, July 2017.
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[49] A. Målqvist and D. Peterseim. Generalized finite element methods for quadratic eigenvalue problems. ESAIM Math. Model. Numer. Anal., 51(1):147-163, 2017.
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[50] M. Griebel, H. Harbrecht, and M. Peters. The sparse grid combination technique for parametric partial differential equations. 2015. INS Preprint No. 1521. Submitted to SIAM Journal of Uncertainty Quantification.
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[51] W. Hackbusch and A. Uschmajew. On the interconnection between the higher-order singular values of real tensors. Numer. Math., 135(3):875-894, 2017. INS Preprint No. 1520.
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[52] A. Buffa, C. Giannelli, P. Morgenstern, and D. Peterseim. Complexity of hierarchical refinement for a class of admissible mesh configurations. Computer Aided Geometric Design, 47:83-92, 2016.
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[53] J. Garcke and A. Kröner. Suboptimal Feedback Control of PDEs by Solving HJB Equations on Adaptive Sparse Grids. Journal of Scientific Computing, 70(1):1-28, 2017. also available as INS Preprint No. 1518.
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[54] M. Griebel, C. Rieger, and B. Zwicknagl. Regularized kernel based reconstruction in generalized Besov spaces. 2015. Accpeted for publication in Foundations of Computational Mathematics. Also available as INS Preprint No. 1517.
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[55] D. L. Brown and M. Vasilyeva. A generalized multiscale finite element method for poroelasticity problems I: Linear problems. Journal of Computational and Applied Mathematics, 294(C):372-388, 2016. Also available as INS Preprint No. 1516.
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[56] B. Bohn, J. Garcke, and M. Griebel. A sparse grid based method for generative dimensionality reduction of high-dimensional data. Journal of Computational Physics, 2015. accepted, also available as INS Preprint No. 1514.
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[57] M. Griebel, F. Y. Kuo, and I. H. Sloan. Note on ”The smoothing effect of integration in Rd and the ANOVA decomposition”. Mathematics of Compuation, 86:1855-1876, 2017. Also available as INS preprint No. 1513.
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[58] M. Griebel and J. Oettershagen. On tensor product approximation of analytic functions. Journal of Approximation Theory, 207:348-379, 2016. Also available as INS Preprint No. 1512.
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[59] M. Griebel and C. Rieger. Reproducing kernel Hilbert spaces for parametric partial differential equations. SIAM/ASA J. Uncertainty Quantification, 5:111-137, 2017. also available as INS Preprint No. 1511.
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[60] P. Zaspel. Subspace correction methods in algebraic multi-level frames. june 2015. INS Preprint No. 1510, submitted to Linear Algebra and its Applications.
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[61] D. Peterseim. Variational multiscale stabilization and the exponential decay of fine-scale correctors. In G. R. Barrenechea, F. Brezzi, A. Cangiani, and E. H. Georgoulis, editors, Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations, volume 114 of Lecture Notes in Computational Science and Engineering. Springer, May 2016. Also available as INS Preprint No. 1509.
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[62] P. Morgenstern. Globally structured three-dimensional analysis-suitable T-splines: Definition, linear independence and $m$-graded local refinement. SIAM J. Numer. Anal., 54(4):2163-2186, May 2016. Also available as INS Preprint No. 1508.
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[63] M. Schedensack. A new generalization of the P1 non-conforming FEM to higher polynomial degrees. Comput. Methods Appl. Math., 17(1):161-185, 2017. also available as INS Preprint No. 1507 and arXiv e-print 1505.02044.
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[64] D. Boffi, D. Gallistl, F. Gardini, and L. Gastaldi. Optimal convergence of adaptive FEM for eigenvalue clusters in mixed form. Math. Comp., 2016. Accepted for publication.
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[65] Y. Nakatsukasa, T. Soma, and A. Uschmajew. Finding a low-rank basis in a matrix subspace. Math. Program., 162(1-2, Ser. A):325-361, 2017.
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[66] M. Griebel and M. Klitz. CLSVOF as a fast and mass-conserving extension of the level-set method for the simulation of two-phase flow problems. 2015. Accepted by Journal of Heat and Mass Transfer. Also available as INS Preprint No. 1505.
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[67] D. Gallistl and D. Peterseim. Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering. Comp. Meth. Appl. Mech. Eng., 295:1-17, 2015.
bib | DOI | arXiv | .pdf 1 ]
[68] D. L. Brown and V. Taralova. A multiscale finite element method for Neumann problems in porous microstructures. Disc. and Cont. Dyn. Sys., 2016. In press. Also available as INS Preprint No. 1503.
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[69] M. Burkow and M. Griebel. Towards the three-dimensional numerical simulation of fluvial geomorphological processes. Zeitschrift für Geomorphologie, 58(3):15-32, 2015. also available as INS Preprint No. 1502.
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[70] D. Dũng and M. Griebel. Hyperbolic cross approximation in infinite dimensions. Journal of Complexity, 33:55-88, 2016. Also available as INS Preprint No. 1501.
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[71] M. Griebel and P. Oswald. Schwarz iterative methods: Infinite space splittings. 2015. accepted by Constructive Approximation, also available as INS Preprint No. 1413.
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[72] B. Bohn and M. Griebel. Error estimates for multivariate regression on discretized function spaces. SIAM Journal on Numerical Analysis, 55(4):1843-1866, 2017. also available as INS Preprint No. 1412.
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[73] D. Peterseim. Eliminating the pollution effect in Helmholtz problems by local subscale correction. Math. Comp., 86:1005-1036, 2017.
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[74] D. Brown and D. Peterseim. A multiscale method for porous microstructures. SIAM MMS, 14:1123-1152, 2016.
bib | DOI | arXiv | .pdf 1 ]
[75] P. Morgenstern and D. Peterseim. Analysis-suitable adaptive T-mesh refinement with linear complexity. Computer Aided Geometric Design, 34:50-66, 2015. Also available as INS Preprint No. 1409.
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[76] F. Franzelin, P. Diehl, and D. Pflüger. Non-intrusive uncertainty quantification with sparse grids for multivariate peridynamic simulations. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VII, volume 100 of Lecture Notes in Computational Science and Engineering, pages 115-143. Springer, 2014. Also available as INS Preprint No. 1408.
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[77] P. Diehl and M. A. Schweitzer. Efficient neighbor search for particle methods on GPUs. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VII, volume 100 of Lecture Notes in Computational Science and Engineering, pages 81-95. Springer, 2014. Also available as INS Preprint No. 1405.
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[78] A. Rüttgers, M. Griebel, L. Pastrik, H. Schmied, D. Wittmann, A. Scherrieble, A. Dinkelmann, and T. Stegmaier. Simulation of the oil storage process in the scopa of specialized bees. Computers & Fluids, 119:115-130, 2015. also available as INS Preprint No. 1404.
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[79] M. Griebel, F. Y. Kuo, and I. H. Sloan. The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Mathematics of Compuation, 86:1855-1876, 2017. Also available as INS preprint No. 1403.
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[80] M. Griebel, J. Hamaekers, and F. Heber. A bond order dissection ANOVA approach for efficient electronic structure calculations. In Extraction of Quantifiable Information from Complex Systems, volume 102 of Lecture Notes in Computational Science and Engineering, pages 211-235. Springer, 2014. also available as INS Preprint No. 1402.
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[81] J. Adelsberger, P. Esser, M. Griebel, S. Groß, M. Klitz, and A. Rüttgers. 3D incompressible two-phase flow benchmark computations for rising droplets. 2014. Proceedings of the 11th World Congress on Computational Mechanics (WCCM XI), Barcelona, Spain, also available as INS Preprint No. 1401 and as IGPM Preprint No. 393.
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[82] P. Henning, P. Morgenstern, and D. Peterseim. Multiscale partition of unity. In M. Griebel and M. A. Schweitzer, editors, Meshfree Methods for Partial Differential Equations VII, volume 100 of Lecture Notes in Computational Science and Engineering, pages 185-204. Springer International Publishing, 2015.
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[83] M. Griebel, A. Hullmann, and P. Oswald. Optimal scaling parameters for sparse grid discretizations. Numerical Linear Algebra with Applications, 22(1):76-100, 2015. Also available as INS Preprint No. 1314.
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[84] M. Griebel and A. Rüttgers. Multiscale simulations of three-dimensional viscoelastic flows in a square-square contraction. Journal of non-Newtonian Fluid Mechanics, 205:41-63, 2014. also available as INS Preprint No. 1313.
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[85] M. Griebel, C. Rieger, and B. Zwicknagl. Multiscale approximation and reproducing kernel Hilbert space methods. SIAM Journal on Numerical Analysis, 53(2):852-873, 2015. Also available as INS Preprint No. 1312.
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[86] M. Griebel and A. Hullmann. Dimensionality reduction of high-dimensional data with a nonlinear principal component aligned generative topographic mapping. SIAM Journal on Scientific Computing, 36(3):A1027-A1047, 2014. Also available as INS Preprint No. 1311.
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[87] M. Griebel and J. Oettershagen. Dimension-adaptive sparse grid quadrature for integrals with boundary singularities. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 109-136. Springer, 2014. Also available as INS Preprint no 1310.
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[88] C. Bierig and A. Chernov. Convergence analysis of multilevel variance estimators in multilevel monte carlo methods and application for random obstacle problems. Preprint 1309, Institute for Numerical Simulation, University of Bonn, 2013. Submitted.
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[89] M. Griebel and A. Rüttgers. Simulation of dilute polymeric fluids in a three-dimensional contraction using a multiscale FENE model. volume 1593 of AIP Conference Proceedings, pages 539-543, 2014. Proceedings of PPS-29: The 29th International Conference of the Polymer Processing Society, Nuremberg, Germany, also available as INS Preprint No. 1308.
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[90] M. Burkow and M. Griebel. A full three dimensional numerical simulation of the sediment transport and the scouring at a rectangular obstacle. Computer and Fluids, 125:1-10, 2016. also available as INS Preprint No. 1307.
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[91] M. Griebel and J. Hamaekers. Fast discrete Fourier transform on generalized sparse grids. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 75-108. Springer, 2014. INS Preprint No. 1305.
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[92] M. Griebel and H. Harbrecht. On the convergence of the combination technique. In Sparse grids and Applications, volume 97 of Lecture Notes in Computational Science and Engineering, pages 55-74. Springer, 2014. Also available as INS Preprint No. 1304.
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[93] M. Griebel and M. Klitz. Simulation of droplet impact with dynamic contact angle boundary conditions. In Singular Phenomena and Scaling in Mathematical Models, pages 297-325. Springer International Publishing Switzerland, 2013. INS Preprint No. 1302.
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[94] M. Griebel and A. Hullmann. On a multilevel preconditioner and its condition numbers for the discretized Laplacian on full and sparse grids in higher dimensions. In Singular Phenomena and Scaling in Mathematical Models, pages 263-296. Springer International Publishing Switzerland, 2014. Also available as INS Preprint No. 1301.
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[95] A. Chernov and D. Pham. Sparse tensor product spectral Galerkin bem for elliptic problems with random data on a spheroid. Preprint 1204, Institute for Numerical Simulation, University of Bonn, 2012. Submitted.
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[96] O. Bokanowski, J. Garcke, M. Griebel, and I. Klompmaker. An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations. Journal of Scientific Computing, 55(3):575-605, 2013. also available as INS Preprint No. 1207.
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[97] M. Griebel and A. Hullmann. A sparse grid based generative topographic mapping for the dimensionality reduction of high-dimensional data. In H. Bock, X. Hoang, R. Rannacher, and J. Schlöder, editors, Modeling, Simulation and Optimization of Complex Processes - HPSC 2012, pages 51-62. Springer International Publishing, 2014. Also available as INS Preprint No. 1206.
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[98] M. Griebel and H. Harbrecht. A note on the construction of L-fold sparse tensor product spaces. Constructive Approximation, 38(2):235-251, 2013. Also available as INS Preprint No. 1205.
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[99] J. Gaitero, J. Dolado, C. Neuen, F. Heber, and E. Koenders. Computational 3d simulation of calcium leaching in cement matrices. In Proceedings of the Second International Conference on Microstructural-related Durability of Cementitious Composites, RILEM, 2012. Also available as INS Preprint no 1203.
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[100] M. Griebel and A. Hullmann. An efficient sparse grid Galerkin approach for the numerical valuation of basket options under Kou's jump-diffusion model. In Sparse grids and Applications, Lecture Notes in Computational Science and Engineering, pages 121-150. Springer, 2013. Also available as INS Preprint No. 1202.
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[101] B. Bohn and M. Griebel. An adaptive sparse grid approach for time series predictions. In J. Garcke and M. Griebel, editors, Sparse grids and Applications, volume 88 of Lecture Notes in Computational Science and Engineering, pages 1-30. Springer, 2012. Also available as INS Preprint no 1201.
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[102] P. Zaspel and M. Griebel. Solving incompressible two-phase flows on multi-GPU clusters. Computers & Fluids, 80(0):356 - 364, 2013. Selected contributions of the 23rd International Conference on Parallel Fluid Dynamics ParCFD2011, also available as INS Preprint no. 1113.
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[103] M. Griebel and D. Wissel. Fast approximation of the discrete Gauss transform in higher dimensions. Journal of Scientific Computing, 55(1):149-172, October 2013. Also available as INS Preprint No. 1111, 2011.
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[104] A. Chernov, T. von Petersdorff, and C. Schwab. Quadrature algorithms for high dimensional singular integrands on simplices. Preprint 1110, Institute for Numerical Simulation, University of Bonn, 2011. Submitted.
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[105] M. Griebel and H. Harbrecht. Approximation of two-variate functions: Singular value decomposition versus sparse grids. 2011. accepted by IMA Journal of Numerical Analysis, also available as INS Preprint No. 1109.
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[106] S. Beuchler and M. Purrucker. Schwarz type solvers for hp-FEM discretizations of mixed problems. Comput. Methods Appl. Math., 12(4):369-390, 2012. also avaiable as INS-Preprint 1108.
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[107] S. Beuchler. Inexact additive Schwarz solvers for hp-FEM discretizations in three dimensions. In Advanced finite element methods and applications, volume 66 of Lect. Notes Appl. Comput. Mech., pages 91-108. Springer, Heidelberg, 2013. also avaiable as INS Preprint 1107.
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[108] K. Fackeldey, D. Krause, R. Krause, and C. Lenzen. Coupling molecular dynamics and continua with weak constraints. 2011. Submitted to SIAM MMS. Available as INS Preprint 1106. Also available as ICS preprint 2009-03 and as ZIB preprint.
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[109] M. Griebel and P. Oswald. Greedy and randomized versions of the multiplicative Schwarz method. Linear Algebra Appl., 437:1596-1610, 2012. also available as INS Preprint No. 1105.
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[110] M. Griebel and H. Harbrecht. On the construction of sparse tensor product spaces. Mathematics of Computations, 82(282):975-994, Apr. 2013. Also available as INS Preprint No. 1104, 2011.
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[111] K. Schmidt and A. Chernov. Robust families of transmission conditions of high order for thin conducting sheets. Preprint 1102, Institut for Numerical Simulation, University of Bonn, February 2011. Submitted.
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[112] M. Griebel, F. Y. Kuo, and I. H. Sloan. The smoothing effect of integration in Rd and the ANOVA decomposition. Math. Comp., 82:383-400, 2013. Also available as INS preprint No. 1007, 2010.
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[113] J. Garcke, T. Gerstner, and M. Griebel. Intraday foreign exchange rate forecasting using sparse grids. In J. Garcke and M. Griebel, editors, Sparse grids and applications, volume 88 of Lecture Notes in Computational Science and Engineering, pages 81-105. Springer, 2013. also available as INS Preprint No. 1006.
bib | DOI | .pdf 1 | Abstract ]
[114] J. Garcke, T. Gerstner, and M. Griebel. Intraday foreign exchange rate forecasting using sparse grids. In J. Garcke and M. Griebel, editors, Sparse Grids and Applications, volume 88 of Lecture Notes in Computational Science and Engineering, pages 81-106, 2012. also available as INS Preprint No. 1006.
bib | .pdf 1 | Abstract ]
[115] A. Chernov and C. Schwab. Exponential convergence of Gauss-Jacobi quadratures for singular integrals over high dimensional simplices. SIAM J. Numer. Anal., 50(3):1433-1455, 2012. Also available as INS Preprint 1005.
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[116] A. Chernov. Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading. Appl. Numer. Math., 62(4):360-377, 2012. Also available as INS Preprint 1003.
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[117] A. Chernov. Optimal convergence estimates for the trace of the polynomial L2-projection operator on a simplex. Mathematics of Computation, 81(278):765-787, 2012. Also available as INS Preprint 1002.
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[118] M. Randrianarivony. Cavity generation of connolly surfaces for subsequent patchwise chemical polarizable continuum model simulation. Preprint 1001, Institute for Numerical Simulation, University of Bonn, 2010.
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[119] M. Griebel and F. Heber. A molecular dynamics study on fullerene-implanted carbon nanotori as electronmagnetic sensing and emitting devices. 2009. INS Preprint no 0912.
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[120] M. Griebel and J. Hamaekers. Tensor product multiscale many-particle spaces with finite-order weights for the electronic Schrödinger equation. Zeitschrift für Physikalische Chemie, 224:527-543, 2010. Also available as INS Preprint no 0911.
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[121] W. Weijo, M. Randrianarivony, H. Harbrecht, and L. Frediani. Wavelet formulation of the polarizable continuum model. INS Preprint 0907, Institute for Numerical Simulation, University of Bonn, Germany, 2009. (to appear in J. Comput. Chem.).
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[122] M. Randrianarivony. Implicitization of high degree tensor product CAGD entities. INS Preprint 0905, Institute for Numerical Simulation, University of Bonn, Germany, 2009.
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[123] C. Groß and R. Krause. A new class of non-linear additively preconditioned trust-region strategies: Convergence results and applications to non-linear mechanics. INS preprint 904, Institute for Numerical Simulation, University of Bonn, 03 2009. Submitted to Math. Comput.
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[124] M. Griebel and M. Holtz. Dimension-wise integration of high-dimensional functions with applications to finance. J. Complexity, 26:455-489, 2010. Also available as INS Preprint 0809.
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[125] M. Randrianarivony. Topological transfinite interpolations in the multidimensional simplex and hypercube. INS Preprint 0808, Institute for Numerical Simulation, University of Bonn, Germany, 2008.
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[126] T. Dickopf, C. Groß, R. Krause, C. Mohr, and J. Steiner. Efficient simulation techniques for heterogeneous models in biomechanics. INS preprint 0806, Institute for Numerical Simulation, University of Bonn, July 2008. Submitted to Proceedings of the 8th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering.
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[127] L. Badea and R. Krause. One- and two-level multiplicative schwarz methods for variational and quasi-variational inequalities of the second kind: Part ii - frictional contact problems. INS preprint 0805, Institute for Numerical Simulation, University of Bonn, June 2008.
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[128] L. Badea and R. Krause. One- and two-level multiplicative schwarz methods for variational and quasi-variational inequalities of the second kind: Part i - general convergence results. INS preprint 0804, Institute for Numerical Simulation, University of Bonn, June 2008.
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[129] M. Randrianarivony. Tetrahedral transfinite interpolation with B-patch faces: construction and regularity. INS Preprint 0803, Institute for Numerical Simulation, University of Bonn, Germany, 2008.
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[130] R. Krause and M. Walloth. A time discretization scheme based on rothe's method for dynamical contact problems with friction. INS preprint 0802, Institute for Numerical Simulation, University of Bonn, June 2008.
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[131] C. Feuersänger and M. Griebel. Principal manifold learning by sparse grids. Computing, 85(4), 2009. Also available as INS Preprint no 0801.
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[132] T. Dickopf and R. Krause. Weak information transfer between non-matching warped interfaces. INS preprint 0714, Institute for Numerical Simulation, University of Bonn, April 2008.
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[133] C. Groß and R. Krause. A recursive trust-region method for non-convex constrained minimization. INS preprint 0713, Institute for Numerical Simulation, University of Bonn, April 2008.
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[134] C. Groß and R. Krause. Import of geometries and extended informations into obslib using the exodus ii and exodus parameter file formats. INS preprint 0712, Institute for Numerical Simulation, January 2008.
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[135] C. Groß and R. Krause. On the convergence of recursive trust-region methods for multiscale non-linear optimization and applications to non-linear mechanics. INS preprint 0710, Institute for Numerical Simulation, University of Bonn, 03 2008. Accepted for publication in SIAM J. Numer. Anal.
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[136] M. Bebendorf and S. Kunis. Recompression techniques for adaptive cross approximation. Available as INS Preprint No 0708, 2007.
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[137] H. Manzano, J. Dolado, M. Griebel, and J. Hamaekers. A molecular dynamics study of the aluminosilicate chains structure in Al-rich calcium silicate hydrated (C-S-H) gels. physica status solidi (a) - applications and materials science, 205(6):1324-1329, 2008. Also as INS Preprint No. 0707.
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[138] M. Griebel, J. Hamaekers, and F. Heber. A molecular dynamics study on the impact of defects and functionalization on the Young modulus of boron-nitride nanotubes. Computational Materials Science, 45(4):1097-1103, 2009.
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[139] M. Griebel, J. Hamaekers, and F. Heber. BOSSANOVA: A bond order dissection approach for efficient electronic structure calculations. INS Preprint 0704, Institut für Numerische Simulation, Universität Bonn, 2008.
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[140] J. S. Dolado, M. Griebel, and J. Hamaekers. A molecular dynamics study of cementitious silicate hydrate (C-S-H) gels. Journal of the American Ceramic Society, 90(12):3938-3942, 2007. Also as INS Preprint No. 0701.
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[141] R. Krause. A Non-Smooth Multiscale Method for Solving Frictional Two-Body Contact Problems in 2D and 3D with Multigrid Efficiency. Available as INS Preprint No 0604, 2006.
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[142] M. Griebel and J. Hamaekers. A wavelet based sparse grid method for the electronic Schrödinger equation. In M. Sanz-Solé, J. Soria, J. Varona, and J. Verdera, editors, Proceedings of the International Congress of Mathematicians, volume III, pages 1473-1506, Madrid, Spain, August 22-30 2006. European Mathematical Society. Also as INS Preprint No. 0603.
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[143] R. Krause, P. Deuflhard, and S. Ertel. A Contact-Stabilized Newmark Method for Dynamical Contact Problems. Available as INS Preprint No 0602, 2006.
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[144] K. Fackeldey and R. Krause. Solving Frictional Contact Problems with Multigrid Efficiency. In Proceedings of the 16th Internationall. Conference on Domain Decomposition, New York, 2005. to appear. Also available as INS Preprint No 0601.
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[145] M. Griebel and J. Hamaekers. Sparse grids for the Schrödinger equation. Mathematical Modelling and Numerical Analysis, 41(2):215-247, 2007. Special issue on Molecular Modelling. Also as INS Preprint No. 0504.
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[146] M. Griebel, J. Hamaekers, and R. Wildenhues. Molecular dynamics simulations of the influence of chemical cross-links on the elastic moduli of polymer-carbon nanotube composites. In J. Sanchez, editor, Proceedings 1st Nanoc-Workshop, LABEIN, Bilbao, Spain, 2005. Also as INS Preprint No. 0503.
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[147] M. Griebel and J. Hamaekers. Molecular dynamics simulations of the mechanical properties of polyethylene-carbon nanotube composites. In M. Rieth and W. Schommers, editors, Handbook of Theoretical and Computational Nanotechnology, volume 9, chapter 8, pages 409-454. American Scientific Publishers, 2006. Also as INS Preprint No. 0502.
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[148] M. Griebel and J. Hamaekers. Molecular dynamics simulations of boron-nitride nanotubes embedded in amorphous Si-B-N. Computational Materials Science, 39(3):502-517, 2007. Also as INS Preprint No. 0501.
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[149] S. Knapek. Compression of anisotropic tensor-product discretizations. INS Preprint 0200, Institut für Numerische Simulation, Universität Bonn, 2002.
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SFB611 Preprints

Preprints of the SFB611 can be found at http://sfb611.iam.uni-bonn.de.