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Staff Guanglian Li, Ph.D.

Ms. Li is now at University of Groningen, Netherlands. This page is no longer maintained.

Contact Information

E-Mail: ed tod nnob-inu tod sni ta ila tod b@foo tod de

Education

  • B.Sc., Mathematics, Qingdao University, 2008
  • M.Sc., Mathematics, Fudan University, 2011
  • Ph.D., Mathematics, Texas A&M University, 2015

Research Interests

  • Homogenization, Multiscale Finite Element Methods (MsFEM), Generalized Multiscale Finite Element Methods (GMsFEM),
  • Brinkman flow with high-contrast permeability field; Li-ion battery homogenization, optimization, and safety problem.

Curriculum Vitae: CV

Teaching

Summer semester 2016

See teaching activities of the whole group.

Current Research Projects

Publications

  1. On the numerical approximation of the Karhunen-Loève expansion for lognormal random fields. M. Griebel and G. Li. Submitted to SIAM Journal on Numerical Analysis. Available as INS Preprint No. 1904, 2019. BibTeX PDF
  2. On the decay rate of the singular values of bivariate functions. M. Griebel and G. Li. SIAM J. Numer. Anal., 56(2):974–993, 2018. Also available as INS preprint No. 1702. BibTeX PDF DOI
  3. On the degree of ill-posedness of multi-dimensional magnetic particle imaging. T. Kluth, B. Jin, and G. Li. Inverse Problems, 2018. Also available as INS preprint No. 1718. BibTeX PDF DOI
  4. Low-rank approximation to heterogeneous elliptic problems. G. Li. INS preprint No. 1704., 2017. BibTeX PDF
  5. Upscaled HDG methods for Brinkman equations with high-contrast heterogeneous coefficient. G. Li and K. Shi. INS preprint No. 1716., 2017. BibTeX PDF
  6. Sparse generalized multiscale finite element methods and their applications. E. Chung, Y. Efendiev, W. T. Leung, and G. Li. International Journal for Multiscale Computational Engineering, 2016. BibTeX
  7. Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d. G. Li, D. Peterseim, and M. Schedensack. ArXiv e-prints, 2016. Also available as INS Preprint No. 1612. BibTeX PDF arXiv
  8. A convergent adaptive finite element method for cathodic protection. G. Li and Y. Xu. Computational Methods in Applied Mathematics, 2016. accepted. BibTeX
  9. On metrics for computation of strength of coupling in multiphysics simulations. A. Wilson, W. Du, G. Li, A. Moosavi, and C. S. Woodward. In Topics in Numerical Partial Differential Equations and Scientific Computing, pages 137–176. Springer New York, 2016. BibTeX
  10. Randomized Oversampling for Generalized Multiscale Finite Element Methods. V. M. Calo, Y. Efendiev, J. Galvis, and G. Li. Multiscale Model. Simul., 14(1):482–501, 2016. BibTeX arXiv
  11. Homogenization of high-contrast brinkman flows. D. L. Brown, Y. Efendiev, G. Li, and V. Savatorova. Multiscale Modeling & Simulation, 13(2):472–490, 2015. BibTeX DOI arXiv
  12. Generalized Multiscale Finite Element Method for problems in perforated heterogeneous domains. E. T. Chung, Y. Efendiev, G. Li, and M. Vasilyeva. to appear in Applicable Analysis, 255:1–15, 2015. BibTeX
  13. Hierarchical multiscale modeling for flows in fractured media using generalized multiscale finite element method. Y. Efendiev, S. Lee, G. Li, J. Yao, and N. Zhang,. to appear in International Journal on Geomathematics, 15:733–755, 2015. BibTeX
  14. A generalized multiscale finite element method for the brinkman equation. J. Galvis, G. Li, and K. Shi. Journal of Computational and Applied Mathematics, 280(0):294 – 309, 2015. BibTeX DOI
  15. An adaptive GMsFEM for high-contrast flow problems. E. T. Chung, Y. Efendiev, and G. Li. Journal of Computational Physics, 273(0):54–76, 2014. BibTeX DOI
  16. Generalized multiscale finite element methods. nonlinear elliptic equations. Y. Efendiev, J. Galvis, G. Li, and M. Presho. Commun. Comput. Phys., 15:733–755, 2014. BibTeX
  17. Generalized multiscale finite element methods: oversampling strategies. Y. Efendiev, J. Galvis, G. Li, and M. Presho. International Journal for Multiscale Computational Engineering, 12(6):465–484, 2014. BibTeX