Markus Faustmann

Publication Activity (10 Years)

Years Active: 2015-2024
Publications (10 Years): 27

Top Topics

Error Estimation

Top Venues

Numerische Mathematik

SIAM J. Numer. Anal.

Comput. Math. Appl.

Publications

Björn Bahr, Markus Faustmann, Jens Markus Melenk
An implementation of hp-FEM for the fractional Laplacian. CoRR (2024)
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons. SIAM J. Numer. Anal. 61 (6) (2023)
Markus Faustmann, Alexander Rieder
FEM-BEM coupling in Fractional Diffusion. CoRR (2023)
Markus Faustmann, Ernst P. Stephan, David Wörgötter
Two-Level Error Estimation for the Integral Fractional Laplacian. Comput. Methods Appl. Math. 23 (3) (2023)
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
Weighted analytic regularity for the integral fractional Laplacian in polyhedra. CoRR (2023)
Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
Exponential meshes and H-matrices. Comput. Math. Appl. 130 (2023)
Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
ℋ-inverses for RBF interpolation. Adv. Comput. Math. 49 (6) (2023)
Markus Faustmann, Alexander Rieder
Fractional Diffusion in the full space: decay and regularity. CoRR (2023)
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
ℋ-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. Adv. Comput. Math. 48 (5) (2022)
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons. CoRR (2022)
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D. CoRR (2022)
Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
Exponential meshes and H-matrices. CoRR (2022)
Markus Faustmann, Michael Karkulik, Jens Markus Melenk
Local Convergence of the FEM for the Integral Fractional Laplacian. SIAM J. Numer. Anal. 60 (3) (2022)
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
Caccioppoli-type estimates and ℋ-matrix approximations to inverses for FEM-BEM couplings. Numerische Mathematik 150 (3) (2022)
Markus Faustmann, Ernst Peter Stephan, David Wörgötter
Two-level error estimation for the integral fractional Laplacian. CoRR (2022)
Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
Weighted analytic regularity for the integral fractional Laplacian in polygons. CoRR (2021)
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Math. Comput. 90 (330) (2021)
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
$\mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. CoRR (2021)
Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
H-inverses for RBF interpolation. CoRR (2021)
Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices. CoRR (2020)
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
Caccioppoli-type estimates and H-Matrix approximations to inverses for FEM-BEM couplings. CoRR (2020)
Markus Faustmann, Michael Karkulik, Jens Markus Melenk
Local convergence of the FEM for the integral fractional Laplacian. CoRR (2020)
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. CoRR (2019)
Markus Faustmann, Jens Markus Melenk
Local convergence of the boundary element method on polyhedral domains. Numerische Mathematik 140 (3) (2018)
Markus Faustmann, Jens Markus Melenk
Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: Corner domains. Comput. Math. Appl. 74 (7) (2017)
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator. Math. Comput. 85 (297) (2016)
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
ℋ-matrix approximability of the inverses of FEM matrices. Numerische Mathematik 131 (4) (2015)