Jens Markus Melenk

103 papers Journal 102Unranked 1

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
2026	J	`jnl`	Wavenumber-explicit analytic regularity of the heterogeneous Maxwell equations with impedance boundary conditions. CoRR Jens Markus Melenk, David Wörgötter
2026	J	`jnl`	Wavenumber-explicit hp-FEM analysis of Maxwell's equations with impedance boundary conditions in piecewise smooth media. CoRR Jens Markus Melenk, David Wörgötter
2025	J	`jnl`	Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. J. Comput. Appl. Math. Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk
2025	J	`jnl`	Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides. SIAM J. Math. Anal. Jens Markus Melenk, Leszek F. Demkowicz, Stefan Henneking
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
2024	J	`jnl`	Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations. Multiscale Model. Simul. Chupeng Ma, Jens Markus Melenk
2024	J	`jnl`	FEM-BEM coupling for the high-frequency Helmholtz problem. CoRR Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2024	J	`jnl`	Optimal convergence rates in L CoRR Maximilian Bernkopf, Jens Markus Melenk
2024	J	`jnl`	Optimal convergence rates in L2 for a first order system least squares finite element method - part II: Inhomogeneous Robin boundary conditions. Comput. Math. Appl. Maximilian Bernkopf, Jens Markus Melenk
2024	J	`jnl`	Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. CoRR Anton Arnold, Christian Klein, Jannis Körner, Jens Markus Melenk
2024	J	`jnl`	Parsimonious convolution quadrature. CoRR Jens Markus Melenk, Jörg Nick
2024	J	`jnl`	Regularity of vector fields with piecewise regular curl and divergence. CoRR Jens Markus Melenk, David Wörgötter
2024	J	`jnl`	Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides. Adv. Comput. Math. Leszek F. Demkowicz, Jens Markus Melenk, Jacob C. Badger, Stefan Henneking
2024	J	`jnl`	The Green's function for an acoustic half-space problem with impedance boundary conditions Part I: Representation formula. CoRR C. Lin, Jens Markus Melenk, Stefan A. Sauter
2024	J	`jnl`	The Green's function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component. CoRR C. Lin, Jens Markus Melenk, S. Sauter
2024	J	`jnl`	Wavenumber-Explicit hp-FEM Analysis for Maxwell's Equations with Impedance Boundary Conditions. Found. Comput. Math. Jens Markus Melenk, Stefan A. Sauter
2024	J	`jnl`	Wavenumber-explicit stability and convergence analysis of ℎ𝑝 finite element discretizations of Helmholtz problems in piecewise smooth media. Math. Comput. Maximilian Bernkopf, Théophile Chaumont-Frelet, 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 convergence of hp FEM for spectral fractional diffusion in polygons. Numerische Mathematik Lehel Banjai, 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`	Fractional Dissipative PDEs. CoRR Franz Achleitner, Goro Akagi, Christian Kuehn, Jens Markus Melenk, Jens D. M. Rademacher, Cinzia Soresina, Jichen Yang
2023	J	`jnl`	On interpolation spaces of piecewise polynomials on mixed meshes. CoRR Michael Karkulik, Jens Markus Melenk, Alexander Rieder
2023	J	`jnl`	Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation. CoRR Jannis Körner, Anton Arnold, Christian Klein, Jens Markus Melenk
2023	J	`jnl`	Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides. CoRR Jens Markus Melenk, Leszek F. Demkowicz, Stefan Henneking
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`	An exponentially convergent discretization for space-time fractional parabolic equations using hp-FEM. CoRR Jens Markus Melenk, Alexander Rieder
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`	Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. CoRR Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
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 a generalized FEM for heterogeneous reaction-diffusion equations. CoRR Chupeng Ma, Jens Markus Melenk
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`	Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation. J. Sci. Comput. Christoph Erath, Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2022	J	`jnl`	Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. Comput. Math. Appl. Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
2022	J	`jnl`	Time domain boundary integral equations and convolution quadrature for scattering by composite media. Math. Comput. Alexander Rieder, Francisco-Javier Sayas, Jens Markus Melenk
2022	J	`jnl`	Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions. CoRR Jens Markus Melenk, Stefan A. Sauter
2022	J	`jnl`	Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media. CoRR Maximilian Bernkopf, Théophile Chaumont-Frelet, Jens Markus Melenk
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`	Goal-oriented adaptive finite element method for semilinear elliptic PDEs. CoRR Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk, Dirk Praetorius
2021	J	`jnl`	H-inverses for RBF interpolation. CoRR Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
2021	J	`jnl`	Metastable speeds in the fractional Allen-Cahn equation. Appl. Math. Comput. Franz Achleitner, Christian Kuehn, Jens Markus Melenk, Alexander Rieder
2021	J	`jnl`	Mortar coupling of hp-discontinuous Galerkin and boundary element methods for the Helmholtz equation. CoRR Christoph Erath, Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2021	J	`jnl`	On superconvergence of Runge-Kutta convolution quadrature for the wave equation. Numerische Mathematik Jens Markus Melenk, Alexander Rieder
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`	Wavenumber-Explicit hp-FEM Analysis for Maxwell's Equations with Transparent Boundary Conditions. Found. Comput. Math. Jens Markus Melenk, Stefan A. Sauter
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`	Exponential Convergence of hp FEM for Spectral Fractional Diffusion in Polygons. CoRR Lehel Banjai, Jens Markus Melenk, Christoph Schwab
2020	J	`jnl`	FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. Comput. Math. Appl. Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2020	J	`jnl`	FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. CoRR Lorenzo Mascotto, Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
2020	J	`jnl`	Local convergence of the FEM for the integral fractional Laplacian. CoRR Markus Faustmann, Michael Karkulik, Jens Markus Melenk
2020	J	`jnl`	Metastable Speeds in the Fractional Allen-Cahn Equation. CoRR Franz Achleitner, Christian Kuehn, Jens Markus Melenk, Alexander Rieder
2020	J	`jnl`	On commuting p-version projection-based interpolation on tetrahedra. Math. Comput. Jens Markus Melenk, C. Rojik
2020	J	`jnl`	Optimal convergence rates in L CoRR Maximilian Bernkopf, Jens Markus Melenk
2020	J	`jnl`	Runge-Kutta approximation for C CoRR Alexander Rieder, Francisco-Javier Sayas, Jens Markus Melenk
2020	J	`jnl`	Time domain boundary integral equations and convolution quadrature for scattering by composite media. CoRR Alexander Rieder, Francisco-Javier Sayas, Jens Markus Melenk
2020	J	`jnl`	Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems. SIAM J. Numer. Anal. Jens Markus Melenk, Stefan A. Sauter, Céline Torres
2020	J	`jnl`	hp-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains. CoRR Lehel Banjai, Jens Markus Melenk, Christoph Schwab
2019	J	`jnl`	H-matrix approximability of inverses of discretizations of the fractional Laplacian. Adv. Comput. Math. 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
2019	J	`jnl`	Tensor FEM for Spectral Fractional Diffusion. Found. Comput. Math. Lehel Banjai, Jens Markus Melenk, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado, Christoph Schwab
2018	J	`jnl`	Local convergence of the boundary element method on polyhedral domains. Numerische Mathematik Markus Faustmann, Jens Markus Melenk
2017	J	`jnl`	An analysis of a butterfly algorithm. Comput. Math. Appl. Steffen Börm, Christina Börst, Jens Markus Melenk
2017	J	`jnl`	Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis. Numerische Mathematik Steffen Börm, Jens Markus Melenk
2017	J	`jnl`	Local inverse estimates for non-local boundary integral operators. Math. Comput. Markus Aurada, Michael Feischl, Thomas Führer, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius
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`	FEM-BEM coupling for the large-body limit in micromagnetics. J. Comput. Appl. Math. Markus Aurada, Jens Markus Melenk, Dirk Praetorius
2015	J	`jnl`	Local high-order regularization and applications to hp-methods. Comput. Math. Appl. Michael Karkulik, Jens Markus Melenk
2015	J	`jnl`	Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes. Comput. Math. Appl. Thomas Führer, Jens Markus Melenk, Dirk Praetorius, Alexander Rieder
2015	J	`jnl`	ℋ-matrix approximability of the inverses of FEM matrices. Numerische Mathematik Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
2014	J	`jnl`	An analysis of discretizations of the Helmholtz equation in L Comput. Math. Appl. S. Esterhazy, Jens Markus Melenk
2014	J	`jnl`	On the stability of the boundary trace of the polynomial L Comput. Math. Appl. Jens Markus Melenk, T. Wurzer
2013	J	`jnl`	A High Frequency hp Boundary Element Method for Scattering by Convex Polygons. SIAM J. Numer. Anal. David P. Hewett, Stephen Langdon, Jens Markus Melenk
2013	J	`jnl`	Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales. Adv. Comput. Math. Jens Markus Melenk, Christos Xenophontos, Lisa Oberbroeckling
2013	J	`jnl`	General DG-Methods for Highly Indefinite Helmholtz Problems. J. Sci. Comput. Jens Markus Melenk, Asieh Parsania, Stefan A. Sauter
2013	J	`jnl`	On optimal L Comput. Vis. Sci. Thomas Horger, Jens Markus Melenk, Barbara I. Wohlmuth
2013	J	`jnl`	Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method. SIAM J. Numer. Anal. Michael Feischl, Michael Karkulik, Jens Markus Melenk, Dirk Praetorius
2013	J	`jnl`	Symmetry-Free, p-Robust Equilibrated Error Indication for the hp-Version of the FEM in Nearly Incompressible Linear Elasticity. Comput. Methods Appl. Math. Philipp Dörsek, Jens Markus Melenk
2012	J	`jnl`	Mapping Properties of Combined Field Helmholtz Boundary Integral Operators. SIAM J. Math. Anal. Jens Markus Melenk
2012	J	`jnl`	Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics. Numerische Mathematik Samuel Ferraz-Leite, Jens Markus Melenk, Dirk Praetorius
2012	J	`jnl`	Quasi-Optimal Approximation of Surface Based Lagrange Multipliers in Finite Element Methods. SIAM J. Numer. Anal. Jens Markus Melenk, Barbara I. Wohlmuth
2012	—	`conf`	hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems. NAA Christos Xenophontos, Jens Markus Melenk, Niall Madden, Lisa Oberbroeckling, Pandelitsa Panaseti, Antri Zouvani
2011	J	`jnl`	Runge-Kutta convolution quadrature for operators arising in wave propagation. Numerische Mathematik Lehel Banjai, Christian Lubich, Jens Markus Melenk
2011	J	`jnl`	Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation. SIAM J. Numer. Anal. Jens Markus Melenk, Stefan A. Sauter
2011	J	`jnl`	Wavenumber-Explicit hp-BEM for High Frequency Scattering. SIAM J. Numer. Anal. Maike Löhndorf, Jens Markus Melenk
2010	J	`jnl`	Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. Math. Comput. Jens Markus Melenk, Stefan A. Sauter
2010	J	`jnl`	On the Suboptimality of the J. Sci. Comput. Emmanuil H. Georgoulis, Edward J. C. Hall, Jens Markus Melenk
2010	J	`jnl`	On the convergence of Filon quadrature. J. Comput. Appl. Math. Jens Markus Melenk
2005	J	`jnl`	Approximation of Integral Operators by Variable-Order Interpolation. Numerische Mathematik Steffen Börm, Maike Löhndorf, Jens Markus Melenk
2005	J	`jnl`	hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation. SIAM J. Numer. Anal. Jens Markus Melenk
2003	J	`jnl`	Boundary Concentrated Finite Element Methods. SIAM J. Numer. Anal. Boris N. Khoromskij, Jens Markus Melenk
2002	J	`jnl`	An Efficient Direct Solver for the Boundary Concentrated FEM in 2D. Computing Boris N. Khoromskij, Jens Markus Melenk
2001	J	`jnl`	Approximation orders for natural splines in arbitrary dimensions. Math. Comput. Tim Gutzmer, Jens Markus Melenk
2001	J	`jnl`	On residual-based a posteriori error estimation in hp-FEM. Adv. Comput. Math. Jens Markus Melenk, Barbara I. Wohlmuth
2000	J	`jnl`	Spectral Galerkin Discretization for Hydrodynamic Stability Problems. Computing Jens Markus Melenk, N. P. Kirchner, Christoph Schwab
1999	J	`jnl`	Operator adapted spectral element methods I: harmonic and generalized harmonic polynomials. Numerische Mathematik Jens Markus Melenk