Research Group of Prof. Dr. Sven Beuchler

Additive schwarz solvers for $hp$-fem discretizations of pde-constrained optimzation problems. S. Beuchler and K. Hofer. Technical Report, INS, 2016. also avaiable as INS-Preprint 1625. BibTeX PDF

Boundary concentrated finite elements for optimal control problems with distributed observation. S. Beuchler, K. Hofer, D. Wachsmuth, and J.-E. Wurst. Comput. Optim. Appl., 62(1):31–65, 2015. BibTeX DOI

Inexact additive Schwarz solvers for $hp$-FEM discretizations in three dimensions. S. Beuchler. In Advanced finite element methods and applications, volume 66 of Lect. Notes Appl. Comput. Mech., pages 91–108. Springer, Heidelberg, 2013. BibTeX PDF DOI

Fast summation techniques for sparse shape functions in tetrahedral $hp$-FEM. S. Beuchler, V. Pillwein, and S. Zaglmayr. In Domain decomposition methods in science and engineering XX, volume 91 of Lect. Notes Comput. Sci. Eng., pages 511–518. Springer, Heidelberg, 2013. BibTeX DOI

Sparsity optimized high order finite element functions for $H(\textrm {curl})$ on tetrahedra. S. Beuchler, V. Pillwein, and S. Zaglmayr. Adv. in Appl. Math., 50(5):749–769, 2013. BibTeX DOI

Boundary concentrated finite elements for optimal boundary control problems of elliptic pdes. S. Beuchler, C. Pechstein, and D. Wachsmuth. Computational Optimization and Applications, 51(2):883–908, 2012. BibTeX Link

Sparsity optimized high order finite element functions on simplices. S. Beuchler, V. Pillwein, J. Schöberl, and S. Zaglmayr. In Numerical and symbolic scientific computing, Texts Monogr. Symbol. Comput., pages 21–44. SpringerWienNewYork, Vienna, 2012. BibTeX DOI

Sparsity optimized high order finite element functions for $h(div)$ on simplices. S. Beuchler, V. Pillwein, and S. Zaglmayr. Numerische Mathematik, 122(2):197–225, 2012. avaiable online. BibTeX DOI

Schwarz type solvers for $hp$-FEM discretizations of mixed problems. S. Beuchler and M. Purrucker. Comput. Methods Appl. Math., 12(4):369–390, 2012. also avaiable as INS-Preprint 1108. BibTeX PDF DOI

Wavelet solvers for $hp$-FEM discretizations in 3D using hexahedral elements. S. Beuchler. Comput. Methods Appl. Mech. Engrg., 198(13-14):1138–1148, 2009. BibTeX DOI

Primal and dual interface concentrated iterative substructuring methods. S. Beuchler, T. Eibner, and U. Langer. SIAM J. Numer. Anal., 46(6):2818–2842, 2008. BibTeX DOI

Completions to sparse shape functions for triangular and tetrahedral p-fem. S. Beuchler and V. Pillwein. In U. Langer, M. Discacciati, D.E. Keyes, O.B. Widlund, and W. Zulehner, editors, Domain Decomposition Methods in Science and Engineering XVII, volume 60 of Lecture Notes in Computational Science and Engineering, 435–442. Heidelberg, 2008. Springer. Proceedings of the 17th International Conference on Domain Decomposition Methods held at St. Wolfgang / Strobl, Austria, July 3–7, 2006. BibTeX

Overlapping additiv Schwarz preconditioners for isotropic elliptic problems with degenerate coefficients. S. Beuchler and S. Nepomnyaschikh. J. Num. Math., 15(4):245–276, 2007. BibTeX

Overlapping additive schwarz preconditioners for elliptic problems with degenerate locally anisotropic coefficients. S. Beuchler and S. Nepomnyaschikh. SIAM J. Num. Anal., 45(6):2321–2344, 2007. BibTeX

Shape functions for tetrahedral $p$-fem using integrated Jacobi polynomials. S. Beuchler and V. Pillwein. Computing, 80:345–375, 2007. BibTeX

Improvements for some condition number estimates in p-fem. S. Beuchler and D. Braess. Num. Lin. Alg. Appl., 13(7):573–588, 2006. BibTeX

New shape functions for triangular $p$-FEM using integrated Jacobi polynomials. S. Beuchler and J. Schöberl. Numer. Math., 103(3):339–366, 2006. BibTeX DOI

A domain decomposition preconditioner for $p$-FEM discretizations of two-dimensional elliptic problems. S. Beuchler. Computing, 74(4):299–317, 2005. BibTeX

Extension operators on tensor product structures in two and three dimensions. S. Beuchler. SIAM J. Sci. Comput., 26(5):1776–1795, 2005. BibTeX

Optimal extensions on tensor-product meshes. S. Beuchler and J. Schöberl. Appl. Numer. Math., 54(3-4):391–405, 2005. BibTeX

Multilevel solvers for a finite element discretization of a degenerate problem. S. Beuchler. SIAM J. Numer. Anal., 42(3):1342–1356, 2004. BibTeX

Multiresolution weighted norm equivalences and applications. S. Beuchler, R. Schneider, and C. Schwab. Numer. Math., 98(1):67–97, 2004. BibTeX DOI

AMLI preconditioner for the $p$-version of the FEM. S. Beuchler. Num. Lin. Alg. Appl., 10(8):721–732, 2003. BibTeX

Multigrid solver for the inner problem in domain decomposition methods for $P$-FEM. S. Beuchler. SIAM J. Numer. Anal., 40(3):928–944 (electronic), 2002. BibTeX DOI