Markus Faustmann

According to our database, Markus Faustmann authored at least 21 papers between 2015 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

An implementation of hp-FEM for the fractional Laplacian.

Björn Bahr, Markus Faustmann, Jens Markus Melenk

Comput. Math. Appl., 2024

2023

Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons.

Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab

SIAM J. Numer. Anal., December, 2023

ℋ-inverses for RBF interpolation.

Niklas Angleitner, Markus Faustmann, Jens Markus Melenk

Adv. Comput. Math., December, 2023

Two-Level Error Estimation for the Integral Fractional Laplacian.

Markus Faustmann, Ernst P. Stephan, David Wörgötter

Comput. Methods Appl. Math., July, 2023

Weighted analytic regularity for the integral fractional Laplacian in polyhedra.

Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab

CoRR, 2023

FEM-BEM coupling in Fractional Diffusion.

Markus Faustmann, Alexander Rieder

CoRR, 2023

Fractional Diffusion in the full space: decay and regularity.

Markus Faustmann, Alexander Rieder

CoRR, 2023

Exponential meshes and H-matrices.

Niklas Angleitner, Markus Faustmann, Jens Markus Melenk

Comput. Math. Appl., 2023

2022

Local Convergence of the FEM for the Integral Fractional Laplacian.

Markus Faustmann, Michael Karkulik, Jens Markus Melenk

SIAM J. Numer. Anal., 2022

Caccioppoli-type estimates and ℋ-matrix approximations to inverses for FEM-BEM couplings.

Markus Faustmann, Jens Markus Melenk, Maryam Parvizi

Numerische Mathematik, 2022

Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D.

Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab

CoRR, 2022

ℋ-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations.

Markus Faustmann, Jens Markus Melenk, Maryam Parvizi

Adv. Comput. Math., 2022

2021

Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian.

Markus Faustmann, Jens Markus Melenk, Dirk Praetorius

Math. Comput., 2021

Weighted analytic regularity for the integral fractional Laplacian in polygons.

Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab

CoRR, 2021

$\mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations.

Markus Faustmann, Jens Markus Melenk, Maryam Parvizi

CoRR, 2021

2020

Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices.

Niklas Angleitner, Markus Faustmann, Jens Markus Melenk

CoRR, 2020

2019

On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion.

Markus Faustmann, Jens Markus Melenk, Maryam Parvizi

CoRR, 2019

2018

Local convergence of the boundary element method on polyhedral domains.

Markus Faustmann, Jens Markus Melenk

Numerische Mathematik, 2018

2017

Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: Corner domains.

Markus Faustmann, Jens Markus Melenk

Comput. Math. Appl., 2017

2016

Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator.

Markus Faustmann, Jens Markus Melenk, Dirk Praetorius

Math. Comput., 2016

2015

ℋ-matrix approximability of the inverses of FEM matrices.

Markus Faustmann, Jens Markus Melenk, Dirk Praetorius

Numerische Mathematik, 2015