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Markus Faustmann
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2020 – today
- 2024
- [j13]Björn Bahr, Markus Faustmann, Jens Markus Melenk:
An implementation of hp-FEM for the fractional Laplacian. Comput. Math. Appl. 176: 324-348 (2024) - [i15]Björn Bahr, Markus Faustmann, Jens Markus Melenk:
An implementation of hp-FEM for the fractional Laplacian. CoRR abs/2407.11482 (2024) - 2023
- [j12]Niklas Angleitner
, Markus Faustmann
ℋ-inverses for RBF interpolation. Adv. Comput. Math. 49(6): 85 (2023) - [j11]Niklas Angleitner, Markus Faustmann
Exponential meshes and H-matrices. Comput. Math. Appl. 130: 21-40 (2023) - [j10]Markus Faustmann
Two-Level Error Estimation for the Integral Fractional Laplacian. Comput. Methods Appl. Math. 23(3): 603-622 (2023) - [j9]Markus Faustmann
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons. SIAM J. Numer. Anal. 61(6): 2601-2622 (2023) - [i14]Markus Faustmann, Alexander Rieder
Fractional Diffusion in the full space: decay and regularity. CoRR abs/2301.05503 (2023) - [i13]Markus Faustmann, Alexander Rieder
FEM-BEM coupling in Fractional Diffusion. CoRR abs/2302.11279 (2023) - [i12]Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab:
Weighted analytic regularity for the integral fractional Laplacian in polyhedra. CoRR abs/2307.11679 (2023) - 2022
- [j8]Markus Faustmann
ℋ-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. Adv. Comput. Math. 48(5): 59 (2022) - [j7]Markus Faustmann
Caccioppoli-type estimates and ℋ-matrix approximations to inverses for FEM-BEM couplings. Numerische Mathematik 150(3): 849-892 (2022) - [j6]Markus Faustmann
Local Convergence of the FEM for the Integral Fractional Laplacian. SIAM J. Numer. Anal. 60(3): 1055-1082 (2022) - [i11]Niklas Angleitner, Markus Faustmann, Jens Markus Melenk:
Exponential meshes and H-matrices. CoRR abs/2203.09925 (2022) - [i10]Markus Faustmann, Carlo Marcati
Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D. CoRR abs/2204.04113 (2022) - [i9]Markus Faustmann, Carlo Marcati
Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons. CoRR abs/2209.11468 (2022) - [i8]Markus Faustmann, Ernst Peter Stephan, David Wörgötter:
Two-level error estimation for the integral fractional Laplacian. CoRR abs/2209.13366 (2022) - 2021
- [j5]Markus Faustmann
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Math. Comput. 90(330): 1557-1587 (2021) - [i7]Markus Faustmann, Jens Markus Melenk, Maryam Parvizi:
$\mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. CoRR abs/2103.14981 (2021) - [i6]Niklas Angleitner, Markus Faustmann, Jens Markus Melenk:
H-inverses for RBF interpolation. CoRR abs/2109.05763 (2021) - [i5]Markus Faustmann, Carlo Marcati, Jens Markus Melenk, Christoph Schwab:
Weighted analytic regularity for the integral fractional Laplacian in polygons. CoRR abs/2112.08151 (2021) - 2020
- [i4]Niklas Angleitner, Markus Faustmann, Jens Markus Melenk:
Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices. CoRR abs/2005.04999 (2020) - [i3]Markus Faustmann, Michael Karkulik, Jens Markus Melenk:
Local convergence of the FEM for the integral fractional Laplacian. CoRR abs/2005.14109 (2020) - [i2]Markus Faustmann, Jens Markus Melenk, Maryam Parvizi:
Caccioppoli-type estimates and H-Matrix approximations to inverses for FEM-BEM couplings. CoRR abs/2008.11498 (2020)
2010 – 2019
- 2019
- [i1]Markus Faustmann, Jens Markus Melenk, Maryam Parvizi:
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. CoRR abs/1912.09160 (2019) - 2018
- [j4]Markus Faustmann
Local convergence of the boundary element method on polyhedral domains. Numerische Mathematik 140(3): 593-637 (2018) - 2017
- [j3]Markus Faustmann
Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: Corner domains. Comput. Math. Appl. 74(7): 1576-1589 (2017) - 2016
- [j2]Markus Faustmann
Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator. Math. Comput. 85(297): 119-152 (2016) - 2015
- [j1]Markus Faustmann
ℋ-matrix approximability of the inverses of FEM matrices. Numerische Mathematik 131(4): 615-642 (2015)
Coauthor Index
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