Markus Faustmann

29 papers Journal 29

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Exponential Convergence of hp-FEM for the Integral Fractional Laplacian on cuboids. CoRR Björn Bahr, Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2024	J	`jnl`	An implementation of hp-FEM for the fractional Laplacian. Comput. Math. Appl. Björn Bahr, Markus Faustmann, Jens Markus Melenk
2024	J	`jnl`	An implementation of hp-FEM for the fractional Laplacian. CoRR Björn Bahr, Markus Faustmann, Jens Markus Melenk
2023	J	`jnl`	Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian in Polygons. SIAM J. Numer. Anal. Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2023	J	`jnl`	Exponential meshes and H-matrices. Comput. Math. Appl. Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
2023	J	`jnl`	FEM-BEM coupling in Fractional Diffusion. CoRR Markus Faustmann, Alexander Rieder
2023	J	`jnl`	Fractional Diffusion in the full space: decay and regularity. CoRR Markus Faustmann, Alexander Rieder
2023	J	`jnl`	Two-Level Error Estimation for the Integral Fractional Laplacian. Comput. Methods Appl. Math. Markus Faustmann, Ernst P. Stephan, David Wörgötter
2023	J	`jnl`	Weighted analytic regularity for the integral fractional Laplacian in polyhedra. CoRR Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2023	J	`jnl`	ℋ-inverses for RBF interpolation. Adv. Comput. Math. Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
2022	J	`jnl`	Caccioppoli-type estimates and ℋ-matrix approximations to inverses for FEM-BEM couplings. Numerische Mathematik Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
2022	J	`jnl`	Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons. CoRR Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2022	J	`jnl`	Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D. CoRR Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2022	J	`jnl`	Exponential meshes and H-matrices. CoRR Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
2022	J	`jnl`	Local Convergence of the FEM for the Integral Fractional Laplacian. SIAM J. Numer. Anal. Markus Faustmann, Michael Karkulik, Jens Markus Melenk
2022	J	`jnl`	Two-level error estimation for the integral fractional Laplacian. CoRR Markus Faustmann, Ernst Peter Stephan, David Wörgötter
2022	J	`jnl`	ℋ-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. Adv. Comput. Math. Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
2021	J	`jnl`	$\mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. CoRR Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
2021	J	`jnl`	H-inverses for RBF interpolation. CoRR Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
2021	J	`jnl`	Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Math. Comput. Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
2021	J	`jnl`	Weighted analytic regularity for the integral fractional Laplacian in polygons. CoRR Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab
2020	J	`jnl`	Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices. CoRR Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
2020	J	`jnl`	Caccioppoli-type estimates and H-Matrix approximations to inverses for FEM-BEM couplings. CoRR Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
2020	J	`jnl`	Local convergence of the FEM for the integral fractional Laplacian. CoRR Markus Faustmann, Michael Karkulik, Jens Markus Melenk
2019	J	`jnl`	On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. CoRR Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
2018	J	`jnl`	Local convergence of the boundary element method on polyhedral domains. Numerische Mathematik Markus Faustmann, Jens Markus Melenk
2017	J	`jnl`	Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: Corner domains. Comput. Math. Appl. Markus Faustmann, Jens Markus Melenk
2016	J	`jnl`	Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator. Math. Comput. Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
2015	J	`jnl`	ℋ-matrix approximability of the inverses of FEM matrices. Numerische Mathematik Markus Faustmann, Jens Markus Melenk, Dirk Praetorius