Jens Markus Melenk
Orcid: 0000-0001-9024-6028Affiliations:
- TU Wien, Vienna, Austria
According to our database1,
Jens Markus Melenk
authored at least 75 papers
between 1999 and 2024.
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Bibliography
2024
Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations.
Multiscale Model. Simul., March, 2024
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime.
CoRR, 2024
2023
Exponential Convergence of \(hp\)-FEM for the Integral Fractional Laplacian in Polygons.
SIAM J. Numer. Anal., December, 2023
Numerische Mathematik, 2023
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation.
CoRR, 2023
CoRR, 2023
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides.
CoRR, 2023
2022
SIAM J. Numer. Anal., 2022
Caccioppoli-type estimates and ℋ-matrix approximations to inverses for FEM-BEM couplings.
Numerische Mathematik, 2022
Time domain boundary integral equations and convolution quadrature for scattering by composite media.
Math. Comput., 2022
Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation.
J. Sci. Comput., 2022
CoRR, 2022
Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media.
CoRR, 2022
CoRR, 2022
An exponentially convergent discretization for space-time fractional parabolic equations using hp-FEM.
CoRR, 2022
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions.
CoRR, 2022
Comput. Math. Appl., 2022
ℋ-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations.
Adv. Comput. Math., 2022
2021
Numerische Mathematik, 2021
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian.
Math. Comput., 2021
Wavenumber-Explicit hp-FEM Analysis for Maxwell's Equations with Transparent Boundary Conditions.
Found. Comput. Math., 2021
CoRR, 2021
CoRR, 2021
$\mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations.
CoRR, 2021
2020
Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems.
SIAM J. Numer. Anal., 2020
Math. Comput., 2020
Optimal convergence rates in L<sup>2</sup> for a first order system least squares finite element method. Part I: homogeneous boundary conditions.
CoRR, 2020
Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices.
CoRR, 2020
hp-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains.
CoRR, 2020
Runge-Kutta approximation for C<sub>0</sub>-semigroups in the graph norm with applications to time domain boundary integral equations.
CoRR, 2020
Comput. Math. Appl., 2020
2019
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion.
CoRR, 2019
Adv. Comput. Math., 2019
2018
Numerische Mathematik, 2018
2017
Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis.
Numerische Mathematik, 2017
Math. Comput., 2017
Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: Corner domains.
Comput. Math. Appl., 2017
2016
Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator.
Math. Comput., 2016
2015
Numerische Mathematik, 2015
J. Comput. Appl. Math., 2015
Comput. Math. Appl., 2015
Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes.
Comput. Math. Appl., 2015
2014
On the stability of the boundary trace of the polynomial L<sup>2</sup>-projection on triangles and tetrahedra.
Comput. Math. Appl., 2014
An analysis of discretizations of the Helmholtz equation in L<sup>2</sup> and in negative norms.
Comput. Math. Appl., 2014
2013
SIAM J. Numer. Anal., 2013
SIAM J. Numer. Anal., 2013
Comput. Vis. Sci., 2013
Symmetry-Free, p-Robust Equilibrated Error Indication for the hp-Version of the FEM in Nearly Incompressible Linear Elasticity.
Comput. Methods Appl. Math., 2013
Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales.
Adv. Comput. Math., 2013
2012
Quasi-Optimal Approximation of Surface Based Lagrange Multipliers in Finite Element Methods.
SIAM J. Numer. Anal., 2012
SIAM J. Math. Anal., 2012
Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics.
Numerische Mathematik, 2012
hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems.
Proceedings of the Numerical Analysis and Its Applications - 5th International Conference, 2012
2011
Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation.
SIAM J. Numer. Anal., 2011
Numerische Mathematik, 2011
2010
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions.
Math. Comput., 2010
On the Suboptimality of the <i>p</i>-Version Interior Penalty Discontinuous Galerkin Method.
J. Sci. Comput., 2010
2005
hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation.
SIAM J. Numer. Anal., 2005
Numerische Mathematik, 2005
2003
2002
2001
Math. Comput., 2001
2000
Computing, 2000
1999
Operator adapted spectral element methods I: harmonic and generalized harmonic polynomials.
Numerische Mathematik, 1999