Jens Markus Melenk

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H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathscr{H}}$\end{document}-matrix approximability of inverses of dis

Michael Karkulik, Jens Markus Melenk, J. Melenk, 2018, Advances in Computational Mathematics.

H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {H}$$\end{document}-matrix approximability of the inverses o

Jens Markus Melenk, Markus Faustmann, Dirk Praetorius, 2013, Numerische Mathematik.

Quasi-Optimal Approximation of Surface Based Lagrange Multipliers in Finite Element Methods

Barbara I. Wohlmuth, Jens Markus Melenk, J. Melenk, 2012, SIAM J. Numer. Anal..

An analysis of a butterfly algorithm

Jens Markus Melenk, Steffen Börm, C. Börst, 2017, Comput. Math. Appl..

Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2013, SIAM J. Numer. Anal..

Boundary Concentrated Finite Element Methods

Jens Markus Melenk, Boris N. Khoromskij, J. Melenk, 2003, SIAM J. Numer. Anal..

On residual-based a posteriori error estimation in hp-FEM

Barbara I. Wohlmuth, Jens Markus Melenk, J. Melenk, 2001, Adv. Comput. Math..

A High Frequency hp Boundary Element Method for Scattering by Convex Polygons

Jens Markus Melenk, Stephen Langdon, David P. Hewett, 2013, SIAM J. Numer. Anal..

Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales

Jens Markus Melenk, Christos Xenophontos, Lisa Oberbroeckling, 2011, Adv. Comput. Math..

Approximation orders for natural splines in arbitrary dimensions

Jens Markus Melenk, Tim Gutzmer, 2001, Math. Comput..

Runge–Kutta approximation for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_0$$\end{document}C0-semigroups in the

Francisco-Javier Sayas, Jens Markus Melenk, Alexander Rieder, 2020, SN partial differential equations and applications.

Approximation of Integral Operators by Variable-Order Interpolation

Jens Markus Melenk, Steffen Börm, Maike Löhndorf, 2005, Numerische Mathematik.

Time domain boundary integral equations and convolution quadrature for scattering by composite media pdf

Francisco-Javier Sayas, Jens Markus Melenk, Alexander Rieder, 2020, ArXiv.

Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

Jens Markus Melenk, Stefan A. Sauter, J. Melenk, 2011, SIAM J. Numer. Anal..

Optimal convergence rates in L2 for a first order system least squares finite element method. Part I: homogeneous boundary conditions pdf

Jens Markus Melenk, Maximilian Bernkopf, 2020, ArXiv.

Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: Corner domains

Jens Markus Melenk, Markus Faustmann, 2017, Comput. Math. Appl..

On superconvergence of Runge–Kutta convolution quadrature for the wave equation

Jens Markus Melenk, Alexander Rieder, J. Melenk, 2019, Numerische Mathematik.

Operator adapted spectral element methods I: harmonic and generalized harmonic polynomials

Jens Markus Melenk, J. Melenk, 1999, Numerische Mathematik.

hp Finite Element Methods for Fourth Order Singularly Perturbed Boundary Value Problems

Jens Markus Melenk, Niall Madden, Christos Xenophontos, 2012, NAA.

Spectral Galerkin Discretization for Hydrodynamic Stability Problems

Jens Markus Melenk, Christoph Schwab, N. P. Kirchner, 2000, Computing.

On commuting p-version projection-based interpolation on tetrahedra

Jens Markus Melenk, Claudio Rojik, J. Melenk, 2018, Math. Comput..

Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian

Jens Markus Melenk, Markus Faustmann, Dirk Praetorius, 2019 .

Institute for Analysis and Scientific Computing

Jens Markus Melenk, Anton Arnold, J. Melenk, 2015 .

hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation

Jens Markus Melenk, J. Melenk, 2005, SIAM J. Numer. Anal..

Wavenumber-Explicit hp-BEM for High Frequency Scattering

Jens Markus Melenk, Maike Löhndorf, J. Melenk, 2011, SIAM J. Numer. Anal..

Mapping Properties of Combined Field Helmholtz Boundary Integral Operators

Jens Markus Melenk, J. Melenk, 2012, SIAM J. Math. Anal..

Wavenumber-Explicit hp-FEM Analysis for Maxwell’s Equations with Transparent Boundary Conditions

Jens Markus Melenk, Stefan Sauter, J. Melenk, 2018, Found. Comput. Math..

On the convergence of Filon quadrature

Jens Markus Melenk, J. Melenk, 2010, J. Comput. Appl. Math..

Symmetry-Free, p-Robust Equilibrated Error Indication for the hp-Version of the FEM in Nearly Incompressible Linear Elasticity

Jens Markus Melenk, Philipp Dörsek, J. Melenk, 2013, Comput. Methods Appl. Math..

FEM–BEM coupling for the large-body limit in micromagnetics

Jens Markus Melenk, Dirk Praetorius, Markus Aurada, 2015, J. Comput. Appl. Math..

Existence of ℋ-matrix approximants to the inverses of BEM matrices: The simple-layer operator

Jens Markus Melenk, Markus Faustmann, Dirk Praetorius, 2013, Math. Comput..

FEM-BEM mortar coupling for the Helmholtz problem in three dimensions

Jens Markus Melenk, Ilaria Perugia, Lorenzo Mascotto, 2020, Comput. Math. Appl..

An analysis of discretizations of the Helmholtz equation in L2 and in negative norms

Jens Markus Melenk, S. Esterhazy, J. Melenk, 2014, Comput. Math. Appl..

On the stability of the boundary trace of the polynomial L2-projection on triangles and tetrahedra

Jens Markus Melenk, T. Wurzer, J. Melenk, 2013, Comput. Math. Appl..

Local inverse estimates for non-local boundary integral operators

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2015, Math. Comput..

General DG-Methods for Highly Indefinite Helmholtz Problems

Jens Markus Melenk, Stefan A. Sauter, Asieh Parsania, 2013, J. Sci. Comput..

Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis

Jens Markus Melenk, Steffen Börm, J. Melenk, 2015, Numerische Mathematik.

An Efficient Direct Solver for the Boundary Concentrated FEM in 2D

Jens Markus Melenk, Boris N. Khoromskij, J. Melenk, 2002, Computing.

Optimal additive Schwarz methods for the hp-BEM: The hypersingular integral operator in 3D on locally refined meshes

Jens Markus Melenk, Dirk Praetorius, Thomas Führer, 2014, Comput. Math. Appl..

Local convergence of the boundary element method on polyhedral domains

Jens Markus Melenk, Markus Faustmann, J. Melenk, 2017, Numerische Mathematik.

Runge–Kutta convolution quadrature for operators arising in wave propagation

Jens Markus Melenk, Lehel Banjai, Christian Lubich, 2011, Numerische Mathematik.

N ov 2 01 4 Local high-order regularization and applications to hp-methods ( extended version ) ∗

Michael Karkulik, Jens Markus Melenk, J. Melenk, 2014 .

On optimal $$L^2$$L2- and surface flux convergence in FEM

Barbara I. Wohlmuth, Jens Markus Melenk, Thomas Horger, 2013, Comput. Vis. Sci..

On the Suboptimality of the p-Version Interior Penalty Discontinuous Galerkin Method

Jens Markus Melenk, Emmanuil H. Georgoulis, Edward J. C. Hall, 2010, J. Sci. Comput..

Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions

Jens Markus Melenk, Stefan A. Sauter, J. Melenk, 2010, Math. Comput..

Direct and Inverse Problems in Wave Propagation and Applications

Jens Markus Melenk, Ivan G. Graham, Ulrich Langer, 2013 .

$\mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations pdf

Jens Markus Melenk, Markus Faustmann, Maryam Parvizi, 2021, ArXiv.

Weighted analytic regularity for the integral fractional Laplacian in polygons pdf

Jens Markus Melenk, Markus Faustmann, Christoph Schwab, 2021, ArXiv.

$\mathcal{H}$-inverses for RBF interpolation

Jens Markus Melenk, Markus Faustmann, Niklas Angleitner, 2021, 2109.05763.

Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation pdf

Jens Markus Melenk, Ilaria Perugia, Lorenzo Mascotto, 2021, Journal of Scientific Computing.

H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {H}$$\end{document}-inverses for RBF interpolation pdf

Jens Markus Melenk, Markus Faustmann, Niklas Angleitner, 2023, Advances in Computational Mathematics.

Goal-oriented adaptive finite element method for semilinear elliptic PDEs pdf

Jens Markus Melenk, Dirk Praetorius, Roland Becker, 2021, ArXiv.

Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation

Jens Markus Melenk, Alexander Rieder, J. Melenk, 2016, 1605.07340.

hp -FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation

Jens Markus Melenk, Philipp Dörsek, J. Melenk, 2011 .

Stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D

Michael Karkulik, Jens Markus Melenk, Alexander Rieder, 2018, ESAIM: Mathematical Modelling and Numerical Analysis.

Analytic regularity for a singularly perturbed problem

Jens Markus Melenk, Christoph Schwab, J. Melenk, 1999 .

Schwarz Preconditioning for High Order Simplicial Finite Elements

Jens Markus Melenk, Joachim Schöberl, Clemens Pechstein, 2007 .

Wave-Number Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation (extended version)

Jens Markus Melenk, Stefan A. Sauter, J. Melenk, 2009 .

Existence of $\mathscr{H}$-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator

Jens Markus Melenk, Markus Faustmann, Dirk Praetorius, 2015, 1503.01943.

Multilevel preconditioning for the boundary concentrated hp-FEM

Jens Markus Melenk, Tino Eibner, J. Melenk, 2007 .

An analysis of a butterfly algorithm

Jens Markus Melenk, Steffen Borm, Christina Borst, 2016, Comput. Math. Appl..

Two-scale regularity for homogenization problems with non-smooth fine scale geometry

Jens Markus Melenk, Ana-Maria Matache, 2002 .

MIXED CONFORMING ELEMENTS FOR THE LARGE-BODY LIMIT IN MICROMAGNETICS

Jens Markus Melenk, Dirk Praetorius, Markus Aurada, 2014 .

Fully discrete hp-finite elements

Jens Markus Melenk, Christoph Schwab, Klaus Gerdes, 1999 .

Optimal additive Schwarz methods for the h p -BEM

Jens Markus Melenk, Dirk Praetorius, Thomas Führer, 2015 .

On n-widths for elliptic problems

Jens Markus Melenk, J. Melenk, 2000 .

HP-INTERPOLATION OF NON-SMOOTH FUNCTIONS

Jens Markus Melenk, J. Melenk, 2003 .

An hp finite element method for convection-diffusion problems in one dimension

Jens Markus Melenk, Christoph Schwab, J. Melenk, 1999 .

No . 10 / 2012 On 2 D newest vertex bisection : Optimality of mesh-closure and H 1-stability of L 2-projection

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2012 .

Quasi-optimal convergence rates for adaptive boundary element methods with data approximation, part I: weakly-singular integral equation

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2014 .

Adaptive hp-FEM for the contact problem with Tresca friction in linear elasticity: The primal--dual formulation and a posteriori error estimation

Jens Markus Melenk, J. Melenk, P. Dörsek, 2010 .

Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2012, 1211.4360.

Optimal a priori estimates for higher order finite elements for elliptic interface problems

Jens Markus Melenk, Jun Zou, Barbara Wohlmuth, 2010 .

Operator adapted spectral element methods

Jens Markus Melenk, 1997 .

Mortar methods with curved interfaces

Jens Markus Melenk, Barbara Wohlmuth, Bernd Flemisch, 2005 .

hp FEM for Reaction-Diffusion Equations I: Robust Exponential Convergence

Jens Markus Melenk, Christoph Schwab, J. Melenk, 1998 .

Robust exponential convergence of hp FEM for singularly perturbed reaction–diffusion systems with multiple scales

Jens Markus Melenk, Christos Xenophontos, Lisa Oberbroeckling, 2013 .

On condition numbers in hp -FEM with Gauss-Lobatto-based shape functions

Jens Markus Melenk, J. Melenk, 2002 .

Residual A-Posteriori Error Estimates in BEM : Convergence of h-Adaptive Algorithms

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2011 .

Generalized DG-Methods for Highly Indenite Helmholtz Problems based on the Ultra-Weak Variational Formulation

Jens Markus Melenk, Stefan A. Sauter, J. Melenk, 2012 .

Fast algorithms for setting up the stiffness matrix in hp-FEM: a comparison

Jens Markus Melenk, Tino Eibner, J. Melenk, 2006 .

p-FEM quadrature error analysis on tetrahedra

Jens Markus Melenk, Tino Eibner, J. Melenk, 2008 .

When is the error in the $$h$$h-BEM for solving the Helmholtz equation bounded independently of $$k$$k?

Jens Markus Melenk, Ivan G. Graham, Maike Löhndorf, 2015 .

On the robust exponential convergence of hp finite element methods for problems with boundary layers

Jens Markus Melenk, J. Melenk, 1997 .

The hp-version of the streamline diffusion finite element method in two space dimensions

Jens Markus Melenk, Dominik Schötzau, Christoph Schwab, 1999 .

hp FEM for reaction-diffusion equations

Jens Markus Melenk, Christoph Schwab, 1997 .

On n-widths for elliptic problems

Jens Markus Melenk, J. Melenk, 1998 .

A New Proof for Existence of H -Matrix Approximants to the Inverse of FEM Matrices: The Dirichlet Problem for the Laplacian

Jens Markus Melenk, Markus Faustmann, Dirk Praetorius, 2014 .

Approximation with harmonic and generalized harmonic polynomials in the partition of unity method

Ivo Babuška, Jens Markus Melenk, I. Babuska, 1997 .

A local error analysis of the boundary concentrated FEM

Jens Markus Melenk, Tino Eibner, J. Melenk, 2007 .

Additive Schwarz preconditioning for p-version triangular and tetrahedral finite elements

Jens Markus Melenk, Joachim Schöberl, Clemens Pechstein, 2007 .

Fully discrete hp-finite elements: fast quadrature

Jens Markus Melenk, Christoph Schwab, K. Gerdes, 2001 .

Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity

Michael Karkulik, Jens Markus Melenk, Michael Feischl, 2012, 1211.4225.

Convergence Analysis for Finite Element Discretizations of the Helmholtz Equation. Part I: the Full Space Problem

Jens Markus Melenk, Stefan A. Sauter, J. Melenk, 2008 .

The hp streamline diffusion finite element method for convection dominated problems in one space dimension

Jens Markus Melenk, Christoph Schwab, 1998 .

hp-Finite Element Methods for Singular Perturbations

Jens Markus Melenk, J. Melenk, 2002 .

An hp finite element method for convection-diffusion problems

Jens Markus Melenk, Christoph Schwab, 1997 .