NumPDEs : Workgroup on Numerics of PDEs

My research is concerned with the numerical analysis of partial differential equations (PDEs), with a particular focus on finite element methods (FEMs). My scientific interests range from theoretical questions in numerical mathematics (e.g., a posteriori error analysis, convergence and optimality of adaptive finite element schemes) and uncertainty quantification (stochastic Galerkin FEM for PDEs with parametric or random input) to the design and analysis of effective approximation methods for (nonlinear) PDEs in materials science and engineering (e.g., in micromagnetics and liquid crystal theory).

Highlights

Latest news

2021

  • December 9, 2021.
    A new preprint is available at arXiv:2112.04302. Together with Francesca Bonizzoni and Davide Pradovera we propose rational-based model order reduction techniques for Helmholtz frequency response problems based on adaptive finite element snapshots.
  • December 1, 2021.
    A new preprint is available at arXiv:2112.00451. Together with Norbert J. Mauser, Carl-Martin Pfeiler, and Dirk Praetorius, we analyze a family of predictor-corrector methods in micromagnetics.
  • November 11, 2021.
    The paper
    Gamma-convergent projection-free finite element methods for nematic liquid crystals: The Ericksen model
    , that I wrote together with Ricardo H. Nochetto and Shuo Yang has been accepted for publication in SIAM Journal on Numerical Analysis.
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