I was a PhD student in Professor Helmut Harbrecht's Computational Mathematics research group.

Refereed Articles

1. H. Harbrecht, V. Karnaev, and M. Schmidlin.
   Quantifying domain uncertainty in linear elasticity.
   SIAM/ASA J. Uncertain. Quantif., 12(2):503–523, 2024.
2. H. Harbrecht, M. Schmidlin, and Ch. Schwab.
   The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs.
   Math. Mod. Meth. Appl. Sci., 34(5):881–917, 2024.
3. L.N. Felber, H. Harbrecht, and M. Schmidlin.
   Identification of sparsely representable diffusion parameters in elliptic problems.
   SIAM J. Imaging Sci., 17:1:61–90, 2024.
4. S. Ben Bader, H. Harbrecht, R. Krause, M. Multerer, A. Quaglino, and M. Schmidlin.
   Space-time multilevel quadrature methods and their application for cardiac electrophysiology.
   SIAM/ASA J. Uncertain. Quantif., 11(4):1329–1356, 2023.
5. H. Harbrecht and M. Schmidlin.
   Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM.
   Stoch. Partial Differ. Equ. Anal. Comput., 10:1619–1650, 2022.
6. H. Harbrecht and M. Schmidlin.
   Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion.
   Stoch. Partial Differ. Equ. Anal. Comput., 8(1):54–81, 2020.
7. H. Harbrecht, M. Peters, and M. Schmidlin.
   Uncertainty quantification for PDEs with anisotropic random diffusion.
   SIAM J. Numer. Anal., 55(2):1002–1023, 2017.

Theses

1. M. Schmidlin.
   Regularity analysis for semilinear elliptic PDEs with random data.
   PhD Thesis, University of Basel, 2024. doi: 10.5451/unibas-ep96377
2. M. Schmidlin.
   Uncertainty Quantification for PDEs with Anisotropic Random Diffusion.
   Master’s Thesis, University of Basel, 2016.

Teaching

as a PhD student

as a student