Jens Markus Melenk

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All published works

Action	Title	Year	Authors
+ PDF Chat	On interpolation spaces of piecewise polynomials on mixed meshes	2024	Michael Karkulik Jens Markus Melenk Alexander Rieder
+ PDF Chat	Parsimonious convolution quadrature	2024	Jens Markus Melenk Jörg Nick
+ PDF Chat	Weighted Analytic Regularity for the Integral Fractional Laplacian in Polyhedra	2024	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	A note on the shift theorem for the Laplacian in polygonal domains	2024	Jens Markus Melenk Claudio Rojik
+ PDF Chat	A note on the shift theorem for the Laplacian in polygonal domains (extended version)	2024	Jens Markus Melenk Claudio Rojik
+	Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime	2024	Anton Arnold Christian Klein Jannis Körner Jens Markus Melenk
+ PDF Chat	Regularity of vector fields with piecewise regular curl and divergence	2024	Jens Markus Melenk David Wörgötter
+	Optimal convergence rates in L2 for a first order system least squares finite element method - part II: Inhomogeneous Robin boundary conditions	2024	Maximilian Bernkopf Jens Markus Melenk
+ PDF Chat	The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component	2024	Che‐Hsin Lin Jens Markus Melenk Stefan Sauter
+ PDF Chat	The Green`s function for an acoustic half-space problem with impedance boundary conditions Part I: Representation formula	2024	Che‐Hsin Lin Jens Markus Melenk Stefan Sauter
+ PDF Chat	Optimal convergence rates in $L^2$ for a first order system least squares finite element method -- Part II: inhomogeneous Robin boundary conditions	2024	Maximilian Bernkopf Jens Markus Melenk
+ PDF Chat	An implementation of hp-FEM for the fractional Laplacian	2024	Björn Bahr Markus Faustmann Jens Markus Melenk
+ PDF Chat	FEM-BEM coupling for the high-frequency Helmholtz problem	2024	Jens Markus Melenk Ilaria Perugia Alexander Rieder
+	Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides	2024	Leszek Demkowicz Jens Markus Melenk Jacob Badger Stefan Henneking
+	Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis	2024	Annie Cuyt Jens Markus Melenk Stefan Sauter Yuan Xu
+	Wavenumber-explicit stability and convergence analysis of ℎ𝑝 finite element discretizations of Helmholtz problems in piecewise smooth media	2024	Maximilian Bernkopf T. Chaumont-Frelet Jens Markus Melenk
+ PDF Chat	Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations	2024	Chupeng Ma Jens Markus Melenk
+	Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime	2024	Anton Arnold Christian Klein Jannis Körner Jens Markus Melenk
+	Fractional Dissipative PDEs	2024	Franz Achleitner Goro Akagi Christian Kuehn Jens Markus Melenk Jens D. M. Rademacher Cinzia Soresina Jichen Yang
+ PDF Chat	Exponential Convergence of $hp$-FEM for the Integral Fractional Laplacian in Polygons	2023	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs	2023	Roland Becker Maximilian Brunner Michael Innerberger Jens Markus Melenk Dirk Praetorius
+	On interpolation spaces of piecewise polynomials on mixed meshes	2023	Michael Karkulik Jens Markus Melenk Alexander Rieder
+	Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides	2023	Jens Markus Melenk Leszek Demkowicz Stefan Henneking
+	Weighted analytic regularity for the integral fractional Laplacian in polyhedra	2023	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation	2023	Jannis Körner Anton Arnold Christian Klein Jens Markus Melenk
+	Fractional Dissipative PDEs	2023	Franz Achleitner Goro Akagi Christian Kuehn Jens Markus Melenk Jens D. M. Rademacher Cinzia Soresina Jichen Yang
+ PDF Chat	<i>hp</i>-FEM for reaction–diffusion equations. II: robust exponential convergence for multiple length scales in corner domains	2022	Lehel Banjai Jens Markus Melenk Christoph Schwab
+ PDF Chat	Exponential convergence of hp FEM for spectral fractional diffusion in polygons	2022	Lehel Banjai Jens Markus Melenk Christoph Schwab
+ PDF Chat	Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons	2022	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+ PDF Chat	Exponential Convergence of hp-FEM for the Integral Fractional Laplacian in 1D	2022	Björn Bahr Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	Exponential meshes and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">H</mml:mi></mml:math>-matrices	2022	Niklas Angleitner Markus Faustmann Jens Markus Melenk
+ PDF Chat	Optimal convergence rates in <i>L</i><sup>2</sup> for a first order system least squares finite element method	2022	Maximilian Bernkopf Jens Markus Melenk
+ PDF Chat	An exponentially convergent discretization for space–time fractional parabolic equations using <i>hp</i>-FEM	2022	Jens Markus Melenk Alexander Rieder
+ PDF Chat	$${\mathcal{H}}$$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations	2022	Markus Faustmann Jens Markus Melenk Maryam Parvizi
+	Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs	2022	Roland Becker Maximilian Brunner Michael Innerberger Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation	2022	Christoph Erath Lorenzo Mascotto Jens Markus Melenk Ilaria Perugia Alexander Rieder
+ PDF Chat	Local Convergence of the FEM for the Integral Fractional Laplacian	2022	Markus Faustmann Michael Karkulik Jens Markus Melenk
+ PDF Chat	Time domain boundary integral equations and convolution quadrature for scattering by composite media	2022	Alexander Rieder Francisco‐Javier Sayas Jens Markus Melenk
+	An exponentially convergent discretization for space-time fractional parabolic equations using $hp$-FEM	2022	Jens Markus Melenk Alexander Rieder
+	Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions	2022	Jens Markus Melenk Stefan Sauter
+	Exponential convergence of hp-FEM for the integral fractional Laplacian in 1D	2022	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	Exponential meshes and $\mathcal{H}$-matrices	2022	Niklas Angleitner Markus Faustmann Jens Markus Melenk
+	Exponential Convergence of hp FEM for the Integral Fractional Laplacian in Polygons	2022	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations	2022	Chupeng Ma Jens Markus Melenk
+	Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs	2022	Roland Becker Maximilian Brunner Michael Innerberger Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Goal-oriented adaptive finite element method for semilinear elliptic PDEs	2021	Roland Becker Maximilian Brunner Michael Innerberger Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Metastable speeds in the fractional Allen–Cahn equation	2021	Franz Achleitner Christian Kuehn Jens Markus Melenk Alexander Rieder
+ PDF Chat	Publisher Correction to: Runge–Kutta approximation for C0-semigroups in the graph norm with applications to time domain boundary integral equations	2021	Alexander Rieder Francisco‐Javier Sayas Jens Markus Melenk
+	H-inverses for RBF interpolation.	2021	Niklas Angleitner Markus Faustmann Jens Markus Melenk
+	Weighted analytic regularity for the integral fractional Laplacian in polygons	2021	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab
+	$\mathcal{H}$-inverses for RBF interpolation	2021	Niklas Angleitner Markus Faustmann Jens Markus Melenk
+	Mortar coupling of $hp$-discontinuous Galerkin and boundary element methods for the Helmholtz equation	2021	Christoph Erath Lorenzo Mascotto Jens Markus Melenk Ilaria Perugia Alexander Rieder
+	$\mathcal{H}$-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations	2021	Markus Faustmann Jens Markus Melenk Maryam Parvizi
+ PDF Chat	On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion	2020	Markus Faustmann Jens Markus Melenk Maryam Parvizi
+	Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	2020	Markus Faustmann Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Runge–Kutta approximation for $$C_0$$-semigroups in the graph norm with applications to time domain boundary integral equations	2020	Alexander Rieder Francisco‐Javier Sayas Jens Markus Melenk
+	Exponential Convergence of $hp$ FEM for Spectral Fractional Diffusion in Polygons	2020	Lehel Banjai Jens Markus Melenk Christoph Schwab
+	Caccioppoli-type estimates and H-Matrix approximations to inverses for FEM-BEM couplings.	2020	Markus Faustmann Jens Markus Melenk Maryam Parvizi
+	FEM–BEM mortar coupling for the Helmholtz problem in three dimensions	2020	Lorenzo Mascotto Jens Markus Melenk Ilaria Perugia Alexander Rieder
+	Metastable Speeds in the Fractional Allen-Cahn Equation	2020	Franz Achleitner Christian Kuehn Jens Markus Melenk Alexander Rieder
+	Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices	2020	Niklas Angleitner Markus Faustmann Jens Markus Melenk
+	FEM-BEM mortar coupling for the Helmholtz problem in three dimensions	2020	Lorenzo Mascotto Jens Markus Melenk Ilaria Perugia Alexander Rieder
+ PDF Chat	Wavenumber-Explicit hp-FEM Analysis for Maxwell’s Equations with Transparent Boundary Conditions	2020	Jens Markus Melenk Stefan Sauter
+	$hp$-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains	2020	Lehel Banjai Jens Markus Melenk Christoph Schwab
+	Runge-Kutta approximation for $C_0$-semigroups in the graph norm with applications to time domain boundary integral equations	2020	Alexander Rieder Francisco‐Javier Sayas Jens Markus Melenk
+ PDF Chat	<i>hp</i>-FEM for the fractional heat equation	2020	Jens Markus Melenk Alexander Rieder
+ PDF Chat	Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems	2020	Jens Markus Melenk Stefan Sauter Céline Torres
+	Optimal convergence rates in $L^2$ for a first order system least squares finite element method. Part I: homogeneous boundary conditions	2020	Maximilian Bernkopf Jens Markus Melenk
+	Time domain boundary integral equations and convolution quadrature for scattering by composite media (extended preprint)	2020	Alexander Rieder Francisco‐Javier Sayas Jens Markus Melenk
+	Caccioppoli-type estimates and $\mathcal{H}$-Matrix approximations to inverses for FEM-BEM couplings	2020	Markus Faustmann Jens Markus Melenk Maryam Parvizi
+	Metastable Speeds in the Fractional Allen-Cahn Equation	2020	Franz Achleitner Christian Kuehn Jens Markus Melenk Alexander Rieder
+	Local convergence of the FEM for the integral fractional Laplacian	2020	Markus Faustmann Michael Karkulik Jens Markus Melenk
+	Approximating inverse FEM matrices on non-uniform meshes with $\mathcal{H}$-matrices	2020	Niklas Angleitner Markus Faustmann Jens Markus Melenk
+	$hp$-FEM for reaction-diffusion equations II. Robust exponential convergence for multiple length scales in corner domains	2020	Lehel Banjai Jens Markus Melenk Christoph Schwab
+	Runge-Kutta approximation for $C_0$-semigroups in the graph norm with applications to time domain boundary integral equations	2020	Alexander Rieder Francisco‐Javier Sayas Jens Markus Melenk
+	Exponential Convergence of $hp$ FEM for Spectral Fractional Diffusion in Polygons	2020	Lehel Banjai Jens Markus Melenk Christoph Schwab
+	FEM-BEM mortar coupling for the Helmholtz problem in three dimensions	2020	Lorenzo Mascotto Jens Markus Melenk Ilaria Perugia Alexander Rieder
+	On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion.	2019	Markus Faustmann Jens Markus Melenk Maryam Parvizi
+ PDF Chat	Stable decompositions of <i>hp</i>-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D	2019	Michael Karkulik Jens Markus Melenk Alexander Rieder
+	On commuting $p$-version projection-based interpolation on tetrahedra	2019	Jens Markus Melenk Claudio Rojik
+	On superconvergence of Runge-Kutta convolution quadrature for the wave equation	2019	Jens Markus Melenk Alexander Rieder
+	Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems	2019	Jens Markus Melenk Stefan Sauter Céline Torres
+	Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	2019	Markus Faustmann Jens Markus Melenk Dirk Praetorius
+	$hp$-FEM for the fractional heat equation.	2019	Jens Markus Melenk Alexander Rieder
+ PDF Chat	Analysis of the hp-Version of a First Order System Least Squares Method for the Helmholtz Equation	2019	Maximilian Bernkopf Jens Markus Melenk
+	On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion	2019	Markus Faustmann Jens Markus Melenk Maryam Parvizi
+	On superconvergence of Runge-Kutta convolution quadrature for the wave equation	2019	Jens Markus Melenk Alexander Rieder
+	Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems	2019	Jens Markus Melenk Stefan Sauter Céline Torres
+	Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	2019	Markus Faustmann Jens Markus Melenk Dirk Praetorius
+	$hp$-FEM for the fractional heat equation	2019	Jens Markus Melenk Alexander Rieder
+	Stable decompositions of $hp$-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D	2018	Michael Karkulik Jens Markus Melenk Alexander Rieder
+ PDF Chat	Tensor FEM for Spectral Fractional Diffusion	2018	Lehel Banjai Jens Markus Melenk Ricardo H. Nochetto Enrique Otárola Abner J. Salgado Christoph Schwab
+	Analysis of the $hp$-version of a first order system least squares method for the Helmholtz equation.	2018	Maximilian Bernkopf Jens Markus Melenk
+ PDF Chat	Local convergence of the boundary element method on polyhedral domains	2018	Markus Faustmann Jens Markus Melenk
+	$\mathcal{H}$-matrix approximability of inverses of discretizations of the fractional Laplacian	2018	Michael Karkulik Jens Markus Melenk
+	Stable decompositions of $hp$-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D	2018	Michael Karkulik Jens Markus Melenk Alexander Rieder
+	Analysis of the $hp$-version of a first order system least squares method for the Helmholtz equation	2018	Maximilian Bernkopf Jens Markus Melenk
+	An analysis of a butterfly algorithm	2017	Steffen Börm Christina Börst Jens Markus Melenk
+ PDF Chat	Robust exponential convergence of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si22.gif" display="inline" overflow="scroll"><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:math>-FEM in balanced norms for singularly perturbed reaction–diffusion problems: Corner domains	2017	Markus Faustmann Jens Markus Melenk
+ PDF Chat	Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis	2017	Steffen Börm Jens Markus Melenk
+	Local inverse estimates for non-local boundary integral operators	2017	Markus Aurada Michael Feischl Thomas Führer Michael Karkulik Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation	2017	Jens Markus Melenk Alexander Rieder
+ PDF Chat	On Thin Plate Spline Interpolation	2017	Maike Löhndorf Jens Markus Melenk
+ PDF Chat	An <i>h</i><i>p</i>‐adaptive Newton‐Galerkin finite element procedure for semilinear boundary value problems	2016	Mario Amrein Jens Markus Melenk Thomas P. Wihler
+ PDF Chat	Existence of $\mathscr{H}$-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator	2016	Markus Faustmann Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Local high-order regularization and applications to hp-methods	2015	Michael Karkulik Jens Markus Melenk
+ PDF Chat	Optimal additive Schwarz methods for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si29.gif" display="inline" overflow="scroll"><mml:mi>h</mml:mi><mml:mi>p</mml:mi></mml:math>-BEM: The hypersingular integral operator in 3D on locally refined meshes	2015	Thomas Führer Jens Markus Melenk Dirk Praetorius Alexander Rieder
+ PDF Chat	Existence of $\mathcal {H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator	2015	Markus Faustmann Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Simultaneous quasi‐optimal convergence rates in FEM‐BEM coupling	2015	Jens Markus Melenk Dirk Praetorius Barbara Wohlmuth
+ PDF Chat	Robust exponential convergence of $$hp$$ h p -FEM in balanced norms for singularly perturbed reaction-diffusion equations	2015	Jens Markus Melenk Christos Xenophontos
+ PDF Chat	$$\mathcal {H}$$ H -matrix approximability of the inverses of FEM matrices	2015	Markus Faustmann Jens Markus Melenk Dirk Praetorius
+	A Posteriori Error Analysis of hp-FEM for singularly perturbed problems	2014	Jens Markus Melenk Thomas P. Wihler
+ PDF Chat	Scalable numerical approach for the steady-state<i>ab initio</i>laser theory	2014	S. Esterhazy Dazhi Liu Matthias Liertzer Alexander Cerjan Li Ge K. G. Makris A. Douglas Stone Jens Markus Melenk Steven G. Johnson Stefan Rotter
+	On the stability of the boundary trace of the polynomial<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si8.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>-projection on triangles and tetrahedra	2014	Jens Markus Melenk T. Wurzer
+	A Posteriori Error Analysis of $hp$-FEM for singularly perturbed problems	2014	Jens Markus Melenk Thomas P. Wihler
+ PDF Chat	On optimal $$L^2$$ L 2 - and surface flux convergence in FEM	2013	Thomas Horger Jens Markus Melenk Barbara Wohlmuth
+ PDF Chat	Direct and Inverse Problems in Wave Propagation and Applications	2013	Ivan G. Graham Ulrich Langer Jens Markus Melenk Mourad Sini
+ PDF Chat	A High Frequency $hp$ Boundary Element Method for Scattering by Convex Polygons	2013	David P. Hewett S. Langdon Jens Markus Melenk
+	Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method	2013	Michael Feischl Michael Karkulik Jens Markus Melenk Dirk Praetorius
+	Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM	2012	Markus Aurada Michael Feischl Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales	2012	Jens Markus Melenk Christos Xenophontos Lisa A. Oberbroeckling
+	Robust exponential convergence of hp FEM for singularly perturbed reaction-diffusion systems with multiple scales	2012	Jens Markus Melenk Christos Xenophontos Lisa A. Oberbroeckling
+ PDF Chat	Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity	2012	Markus Aurada Michael Feischl Thomas Führer Michael Karkulik Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics	2012	Samuel Ferraz-Leite Jens Markus Melenk Dirk Praetorius
+ PDF Chat	Mapping Properties of Combined Field Helmholtz Boundary Integral Operators	2012	Jens Markus Melenk
+	On the stability of the polynomial L 2 -projection on triangles and tetrahedra	2012	Jens Markus Melenk T. Wurzer
+	Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM	2012	Markus Aurada Michael Feischl Thomas Führer Michael Karkulik Jens Markus Melenk Dirk Praetorius
+ PDF Chat	On Stability of Discretizations of the Helmholtz Equation	2011	Sofi Esterhazy Jens Markus Melenk
+	On the convergence of Filon quadrature	2009	Jens Markus Melenk
+	Approximation of Integral Operators by Variable-Order Interpolation	2005	Steffen B�rm Maike L�hndorf Jens Markus Melenk
+	Sonderforschungsbereich 393 Parallele Numerische Simulation fur Physik und Kontinuumsmechanik	2004	Tino Eibner Jens Markus Melenk
+	fMathematik in den Naturwissenschaften Leipzig	2004	Bernd Flemisch Jens Markus Melenk Barbara Wohlmuth
+	hp-Finite Element Methods for Singular Perturbations	2002	Jens Markus Melenk
+	5. Regularity Theory in Countably Normed Spaces	2002	Jens Markus Melenk
+	2. hp-FEM for Reaction Diffusion Problems: Principal Results	2002	Jens Markus Melenk
+	4. The Countably Normed Spaces	2002	Jens Markus Melenk
+	7. Regularity through Asymptotic Expansions	2002	Jens Markus Melenk
+	6. Exponentially Weighted Countably Normed Spaces	2002	Jens Markus Melenk
+ PDF Chat	THE HP-VERSION OF THE STREAMLINE DIFFUSION FINITE ELEMENT METHOD IN TWO SPACE DIMENSIONS	2001	K. Gerdes Jens Markus Melenk C. Schwab Dominik Schötzau
+	Spectral Galerkin Discretization for Hydrodynamic Stability Problems	2000	Jens Markus Melenk Nina Kirchner C. Schwab
+ PDF Chat	Approximation orders for natural splines in arbitrary dimensions	2000	Tim Gutzmer Jens Markus Melenk
+	On n-Widths for Elliptic Problems	2000	Jens Markus Melenk
+	Operator adapted spectral element methods I: harmonic and generalized harmonic polynomials	1999	Jens Markus Melenk
+ PDF Chat	An hp finite element method for convection-diffusion problems in one dimension	1999	Jens Markus Melenk
+	Analytic Regularity for a Singularly Perturbed Problem	1999	Jens Markus Melenk C. Schwab
+ PDF Chat	hp FEM for Reaction-Diffusion Equations I: Robust Exponential Convergence	1998	Jens Markus Melenk C. Schwab
+	The hp streamline diffusion finite element method for convection dominated problems in one space dimension	1998	Jens Markus Melenk Christoph Schwab
+	Robust Exponential Integration of Functions of Boundary Layer Type	1998	Jens Markus Melenk
+	A spectral Garlekin method for hydrodynamic stability problems	1998	N. P. Hancke Jens Markus Melenk Christoph Schwab
+	On n-widths for elliptic problems	1998	Jens Markus Melenk
+ PDF Chat	On the robust exponential convergence of hp finite element methods for problems with boundary layers	1997	Jens Markus Melenk
+	hp FEM for reaction-diffusion equations	1997	Jens Markus Melenk Christoph Schwab
+	Operator adapted spectral element methods	1997	Jens Markus Melenk

Common Coauthors

Coauthor	Papers Together
Markus Faustmann	32
Alexander Rieder	29
Dirk Praetorius	18
Christoph Schwab	16
Michael Karkulik	13
Stefan Sauter	8
Carlo Marcati	8
Maximilian Bernkopf	8
Lehel Banjai	7
Maryam Parvizi	7
Niklas Angleitner	6
Ilaria Perugia	6
Michael Feischl	5
Francisco‐Javier Sayas	5
Christian Kuehn	5
Lorenzo Mascotto	5
Franz Achleitner	5
Thomas Führer	4
Maximilian Brunner	4
Markus Aurada	4
Roland Becker	4
Michael Innerberger	4
C. Schwab	4
Christian Klein	3
Barbara Wohlmuth	3
Claudio Rojik	3
Céline Torres	3
Anton Arnold	3
Jannis Körner	3
Christos Xenophontos	3
Thomas P. Wihler	3
Björn Bahr	2
Christoph Erath	2
Stefan Henneking	2
Jichen Yang	2
Che‐Hsin Lin	2
Lisa A. Oberbroeckling	2
T. Wurzer	2
Steffen Börm	2
Cinzia Soresina	2
Goro Akagi	2
Leszek Demkowicz	2
Christoph Schwab	2
Chupeng Ma	2
Abner J. Salgado	1
T. Chaumont-Frelet	1
Annie Cuyt	1
Jens D. M. Rademacher	1
S. Esterhazy	1
Bernd Flemisch	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An Introduction to Sobolev Spaces and Interpolation Spaces	2007	Luc Tartar	23
+ PDF Chat	Tensor FEM for Spectral Fractional Diffusion	2018	Lehel Banjai Jens Markus Melenk Ricardo H. Nochetto Enrique Otárola Abner J. Salgado Christoph Schwab	20
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	19
+ PDF Chat	Numerical methods for fractional diffusion	2018	Andrea Bonito Juan Pablo Borthagaray Ricardo H. Nochetto Enrique Otárola Abner J. Salgado	19
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	19
+	hp-Finite Element Methods for Singular Perturbations	2002	Jens Markus Melenk	18
+	Numerical Approximation Methods for Elliptic Boundary Value Problems	2007	Olaf Steinbach	16
+ PDF Chat	A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis	2014	Ricardo H. Nochetto Enrique Otárola Abner J. Salgado	16
+ PDF Chat	The $p$ and $hp$ versions of the finite element method for problems with boundary layers	1996	Christoph Schwab Manil Suri	15
+ PDF Chat	On the robust exponential convergence of hp finite element methods for problems with boundary layers	1997	Jens Markus Melenk	15
+ PDF Chat	What is the fractional Laplacian? A comparative review with new results	2019	Anna Lischke Guofei Pang Mamikon Gulian Fangying Song Christian Glusa Xiaoning Zheng Zhiping Mao Wei Cai Mark M. Meerschaert Mark Ainsworth	14
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	14
+ PDF Chat	hp FEM for Reaction-Diffusion Equations I: Robust Exponential Convergence	1998	Jens Markus Melenk C. Schwab	13
+ PDF Chat	A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations	2017	Gabriel Acosta Juan Pablo Borthagaray	11
+ PDF Chat	Numerical approximation of fractional powers of elliptic operators	2015	Andrea Bonito Joseph E. Pasciak	11
+	Ten Equivalent Definitions of the Fractional Laplace Operator	2017	Mateusz Kwaśnicki	10
+ PDF Chat	The completion of locally refined simplicial partitions created by bisection	2007	Rob Stevenson	10
+	Efficient Numerical Methods for Non-local Operators	2010	Steffen Börm	10
+	A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian	2017	Gabriel Acosta Francisco M. Bersetche Juan Pablo Borthagaray	9
+	On commuting $p$-version projection-based interpolation on tetrahedra	2019	Jens Markus Melenk Claudio Rojik	9
+ PDF Chat	Aspects of an adaptive finite element method for the fractional Laplacian: A priori and a posteriori error estimates, efficient implementation and multigrid solver	2017	Mark Ainsworth Christian Glusa	9
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey	9
+ PDF Chat	Extension Problem and Harnack's Inequality for Some Fractional Operators	2010	Pablo Raúl Stinga José L. Torrea	9
+ PDF Chat	Finite Element Methods for Maxwell's Equations	2003	Peter Monk	8
+	Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	2020	Markus Faustmann Jens Markus Melenk Dirk Praetorius	8
+ PDF Chat	The hp finite element method for problems in mechanics with boundary layers	1998	C. Schwab Manil Suri Christos Xenophontos	8
+ PDF Chat	Wavenumber-Explicit hp-FEM Analysis for Maxwell’s Equations with Transparent Boundary Conditions	2020	Jens Markus Melenk Stefan Sauter	8
+	Numerical Approximation Methods for Elliptic Boundary Value Problems. Finite and Boundary Elements	2008	Olaf Steinbach	8
+ PDF Chat	Runge-Kutta methods for parabolic equations and convolution quadrature	1993	Ch. Lubich Alexander Ostermann	8
+ PDF Chat	Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity	2012	Markus Aurada Michael Feischl Thomas Führer Michael Karkulik Jens Markus Melenk Dirk Praetorius	7
+ PDF Chat	On 2D Newest Vertex Bisection: Optimality of Mesh-Closure and H 1-Stability of L 2-Projection	2013	Michael Karkulik David Pavlicek Dirk Praetorius	7
+ PDF Chat	Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons	2022	Markus Faustmann Carlo Marcati Jens Markus Melenk Christoph Schwab	7
+ PDF Chat	Finite elements on degenerate meshes: inverse-type inequalities and applications	2005	Ivan G. Graham Wolfgang Hackbusch Stefan Sauter	7
+	Rapid solution of integral equations of classical potential theory	1985	Vladimir Rokhlin	7
+ PDF Chat	The Bubble Transform: A New Tool for Analysis of Finite Element Methods	2015	Richard S. Falk Ragnar Winther	7
+ PDF Chat	$hp$-Finite Elements for Fractional Diffusion	2018	Dominik Meidner Johannes Pfefferer Klemens Schürholz Boris Vexler	7
+ PDF Chat	Existence of $\mathcal {H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator	2015	Markus Faustmann Jens Markus Melenk Dirk Praetorius	7
+ PDF Chat	Numerical approximation of the integral fractional Laplacian	2019	Andrea Bonito Wenyu Lei Joseph E. Pasciak	7
+	A first order system least squares method for the Helmholtz equation	2016	Huangxin Chen Weifeng Qiu	7
+ PDF Chat	On Stability of Discretizations of the Helmholtz Equation	2011	Sofi Esterhazy Jens Markus Melenk	7
+ PDF Chat	Fractional powers of closed operators and the semigroups generated by them	1960	A. V. Balakrishnan	6
+	ℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number	2011	Xiaobing Feng Haijun Wu	6
+ PDF Chat	Preasymptotic Error Analysis of CIP-FEM and FEM for Helmholtz Equation with High Wave Number. Part II: $hp$ Version	2013	Lingxue Zhu Haijun Wu	6
+	Fractional elliptic equations, Caccioppoli estimates and regularity	2015	Pablo Raúl Stinga Luis Caffarelli	6
+ PDF Chat	<i>hp</i>-FEM for the fractional heat equation	2020	Jens Markus Melenk Alexander Rieder	6
+ PDF Chat	Les espaces du type de Beppo Levi	1954	Jacques Deny J. L. Lions	6
+ PDF Chat	Mapping Properties of Combined Field Helmholtz Boundary Integral Operators	2012	Jens Markus Melenk	6
+ PDF Chat	Local high-order regularization and applications to hp-methods	2015	Michael Karkulik Jens Markus Melenk	6
+ PDF Chat	Adaptive FEM with Optimal Convergence Rates for a Certain Class of Nonsymmetric and Possibly Nonlinear Problems	2014	Michael Feischl Thomas Führer Dirk Praetorius	6
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	6