ℋ-matrix approximability of the inverses of FEM matrices. - Markus Faustmann; Jens Markus Melenk; Dirk Praetorius (Numerische Mathematik, 2015)

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)

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)

Local convergence of the boundary element method on polyhedral domains. - Markus Faustmann; Jens Markus Melenk (Numerische Mathematik, 2018)

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)

Approximating inverse FEM matrices on non-uniform meshes with $ mathcal{H}$-matrices. - Niklas Angleitner; Markus Faustmann; Jens Markus Melenk (CoRR, 2020)

$ mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. - Markus Faustmann; Jens Markus Melenk; Maryam Parvizi (CoRR, 2021)

Weighted analytic regularity for the integral fractional Laplacian in polygons. - Markus Faustmann; Carlo Marcati; Jens Markus Melenk; Christoph Schwab (CoRR, 2021)

Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. - Markus Faustmann; Jens Markus Melenk; Dirk Praetorius (Math. Comput., 2021)

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)

Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D. - Markus Faustmann; Carlo Marcati; Jens Markus Melenk; Christoph Schwab (CoRR, 2022)

Caccioppoli-type estimates and ℋ-matrix approximations to inverses for FEM-BEM couplings. - Markus Faustmann; Jens Markus Melenk; Maryam Parvizi (Numerische Mathematik, 2022)

Local Convergence of the FEM for the Integral Fractional Laplacian. - Markus Faustmann; Michael Karkulik; Jens Markus Melenk (SIAM J. Numer. Anal., 2022)

Exponential meshes and H-matrices. - Niklas Angleitner; Markus Faustmann; Jens Markus Melenk (Comput. Math. Appl., 2023)

Fractional Diffusion in the full space: decay and regularity. - Markus Faustmann; Alexander Rieder (CoRR, 2023)

FEM-BEM coupling in Fractional Diffusion. - Markus Faustmann; Alexander Rieder (CoRR, 2023)

Weighted analytic regularity for the integral fractional Laplacian in polyhedra. - Markus Faustmann; Carlo Marcati; Jens Markus Melenk; Christoph Schwab (CoRR, 2023)

Two-Level Error Estimation for the Integral Fractional Laplacian. - Markus Faustmann; Ernst P. Stephan; David Wörgötter (Comput. Methods Appl. Math., 2023)

ℋ-inverses for RBF interpolation. - Niklas Angleitner; Markus Faustmann; Jens Markus Melenk (Adv. Comput. Math., 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., 2023)

An implementation of hp-FEM for the fractional Laplacian. - Björn Bahr; Markus Faustmann; Jens Markus Melenk (Comput. Math. Appl., 2024)