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2024

Schmidlin, Marc. Regularity analysis for semilinear elliptic PDEs with random data. 2024, Doctoral Thesis, University of Basel, Faculty of Science.

2023

Harbrecht, Helmut and Karnaev, Viacheslav and Schmidlin, Marc. (2023) Quantifying domain uncertainty in linear elasticity. Preprints Fachbereich Mathematik, 2023 (06).

Felber, Luzia N. and Harbrecht, Helmut and Schmidlin, Marc. (2023) Identification of sparsely representable diffusion parameters in elliptic problems. Preprints Fachbereich Mathematik, 2023 (03).

2022

Harbrecht, Helmut and Schmidlin, Marc. (2022) Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. Stochastics and Partial Differential Equations, 10. pp. 1619-1650.

2021

Bader, Seif Ben and Harbrecht, Helmut and Krause, Rolf and Multerer, Michael and Quaglino, Alessio and Schmidlin, Marc. (2021) Space-time multilevel quadrature methods and their application for cardiac electrophysiology. Preprints Fachbereich Mathematik, 2021 (13).

2020

Harbrecht, Helmut and Schmidlin, Marc. (2020) Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion. Stochastics and Partial Differential Equations, 8 (1). pp. 54-81.

2018

Harbrecht, Helmut and Schmidlin, Marc. (2018) Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM. Preprints Fachbereich Mathematik, 2018 (03).

2017

Harbrecht, Helmut and Peters, Michael and Schmidlin, Marc. (2017) Uncertainty quantification for PDEs with anisotropic random diffusion. SIAM Journal on Numerical Analysis, 55 (2). pp. 1002-1023.

Harbrecht, Helmut and Schmidlin, Marc. (2017) Multilevel Methods for Uncertainty Quantification of Elliptic PDEs with Random Anisotropic Diffusion. Preprints Fachbereich Mathematik, 2017 (07).

2016

Harbrecht, Helmut and Peters, Michael and Schmidlin, Marc. (2016) Uncertainty quantification for PDEs with anisotropic random diffusion. Preprints Fachbereich Mathematik, 2016 (14).