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Melenk, Jens Markus

Co-Author Distance
Author ID: melenk.jens-markus Recent zbMATH articles by "Melenk, Jens Markus"
Published as: Melenk, J. M.; Melenk, Jens Markus; Melenk, Jens M.; Melenk, J. Markus; Markus Melenk, Jens; Melenk, Jens Marcus; Melenk, Markus
Homepage: https://www.asc.tuwien.ac.at/~melenk/
External Links: MGP
Documents Indexed: 134 Publications since 1996, including 1 Book and 18 Additional arXiv Preprints
5 Contributions as Editor
Co-Authors: 93 Co-Authors with 128 Joint Publications
2,375 Co-Co-Authors
all top 5

Co-Authors

11 single-authored
19 Faustmann, Markus
19 Praetorius, Dirk
16 Schwab, Christoph
14 Rieder, Alexander
11 Karkulik, Michael
9 Sauter, Stefan
7 Wohlmuth, Barbara I.
6 Feischl, Michael
6 Führer, Thomas
5 Aurada, Markus
5 Eibner, Tino
4 Babuška, Ivo
4 Banjai, Lehel
4 Bernkopf, Maximilian
4 Dörsek, Philipp
4 Löhndorf, Maike
4 Marcati, Carlo
4 Perugia, Ilaria
4 Xenophontos, Christos A.
3 Angleitner, Niklas
3 Becker, Roland
3 Börm, Steffen
3 Brunner, Maximilian
3 Innerberger, Michael
3 Oberbroeckling, Lisa A.
3 Parvizi, Maryam
3 Sayas, Francisco-Javier
2 Achleitner, Franz
2 Arnold, Anton
2 Bahr, Björn
2 Demkowicz, Leszek
2 Esterhazy, S.
2 Gerdes, Klaus
2 Graham, Ivan G.
2 Henneking, Stefan
2 Khoromskiĭ, Boris Nikolaevich
2 Klein, Christian
2 Körner, Jannis
2 Kühn, Christian
2 Lin, Chuhe
2 Mascotto, Lorenzo
2 Rojik, Claudio
2 Schöberl, Joachim
2 Wihler, Thomas Pascal
1 Akagi, Goro
1 Amrein, Mario
1 Andersson, Börje
1 Badger, Jacob C.
1 Börst, Christina
1 Chaumont-Frelet, Théophile
1 Cuyt, Annie A. M.
1 Erath, Christoph
1 Ferraz-Leite, Samuel
1 Flemisch, Bernd
1 Georgoulis, Emmanuil H.
1 Guo, Benqi
1 Gutzmer, Tim
1 Hall, Edward J. C.
1 Hancke, N. P.
1 Hewett, David P.
1 Horger, Thomas
1 Kaltenbacher, Manfred
1 Kirchner, Nina P.
1 Langdon, Stephen
1 Langer, Ulrich
1 Li, Jingzhi
1 Lubich, Christian
1 Ma, Chupeng
1 Madden, Niall
1 Matache, Ana-Maria
1 Monk, Peter B.
1 Nochetto, Ricardo Horacio
1 Oh, Hae-Soo
1 Otárola, Enrique
1 Panaseti, Pandelitsa
1 Parsania, Asieh
1 Pechstein, Clemens
1 Rademacher, Jens Diederich Michael
1 Rezaijafari, H.
1 Salgado, Abner J.
1 Schötzau, Dominik
1 Sini, Mourad
1 Soresina, Cinzia
1 Spence, Euan A.
1 Torres, Céline
1 Wieners, Christian
1 Wörgötter, David
1 Wurzer, T.
1 Yang, Jichen
1 Zaglmayr, Sabine
1 Zimmermann, Georg
1 Zou, Jun
1 Zouvani, Antri
all top 5

Serials

11 SIAM Journal on Numerical Analysis
10 IMA Journal of Numerical Analysis
10 Numerische Mathematik
9 Computers & Mathematics with Applications
7 Mathematics of Computation
6 Advances in Computational Mathematics
4 Journal of Computational and Applied Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Computer Methods in Applied Mechanics and Engineering
3 Calcolo
3 Applied Numerical Mathematics
3 Journal of Scientific Computing
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Mathematical Analysis
3 SN Partial Differential Equations and Applications
2 Mathematical Methods in the Applied Sciences
2 Computing
2 Computational Mechanics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Foundations of Computational Mathematics
2 Oberwolfach Reports
1 Journal of Mathematical Analysis and Applications
1 Applied Mathematics and Computation
1 BIT
1 International Journal for Numerical Methods in Engineering
1 Journal of Integral Equations and Applications
1 East-West Journal of Numerical Mathematics
1 ETNA. Electronic Transactions on Numerical Analysis
1 The Journal of Fourier Analysis and Applications
1 Computing and Visualization in Science
1 Computer Assisted Mechanics and Engineering Sciences
1 Computational Methods in Applied Mathematics
1 Multiscale Modeling & Simulation
1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1 Lecture Notes in Mathematics
1 Lecture Notes in Computational Science and Engineering
1 Radon Series on Computational and Applied Mathematics
all top 5

Fields

120 Numerical analysis (65-XX)
78 Partial differential equations (35-XX)
10 Approximations and expansions (41-XX)
9 Optics, electromagnetic theory (78-XX)
7 Real functions (26-XX)
7 Mechanics of deformable solids (74-XX)
7 Fluid mechanics (76-XX)
5 General and overarching topics; collections (00-XX)
5 Ordinary differential equations (34-XX)
3 Potential theory (31-XX)
3 Special functions (33-XX)
3 Integral equations (45-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Quantum theory (81-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

104 Publications have been cited 3,844 times in 2,682 Documents Cited by ▼ Year ▼
The partition of unity finite element method: basic theory and applications. Zbl 0881.65099
Melenk, J. M.; Babuška, Ivo
1,098
1996
The partition of unity method. Zbl 0949.65117
Babuška, I.; Melenk, J. M.
863
1997
Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038
Melenk, J. M.; Sauter, S.
139
2011
Optimal a priori estimates for higher order finite elements for elliptic interface problems. Zbl 1208.65168
Li, Jingzhi; Melenk, Jens Markus; Wohlmuth, Barbara; Zou, Jun
122
2010
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. Zbl 1205.65301
Melenk, J. M.; Sauter, S.
115
2010
On residual-based a posteriori error estimation in hp-FEM. Zbl 0991.65111
Melenk, J. M.; Wohlmuth, B. I.
105
2001
\(hp\)-finite element methods for singular perturbations. Zbl 1021.65055
Melenk, Jens M.
76
2002
\(hp\)-interpolation of nonsmooth functions and an application to \(hp\)-a posteriori error estimation. Zbl 1087.65108
Melenk, J. M.
66
2005
General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128
Melenk, J. M.; Parsania, A.; Sauter, S.
63
2013
On stability of discretizations of the Helmholtz equation. Zbl 1248.65115
Esterhazy, S.; Melenk, J. M.
62
2012
Fully discrete \(hp\)-finite elements: Fast quadrature. Zbl 0985.65141
Melenk, J. M.; Gerdes, K.; Schwab, Ch.
48
2001
Runge-Kutta convolution quadrature for operators arising in wave propagation. Zbl 1227.65027
Banjai, Lehel; Lubich, Christian; Melenk, Jens Markus
47
2011
An adaptive strategy for \(hp\)-FEM based on testing for analyticity. Zbl 1163.65331
Eibner, T.; Melenk, J. M.
41
2007
Quasi-optimal convergence rate for an adaptive boundary element method. Zbl 1273.65186
Feischl, M.; Karkulik, M.; Melenk, J. M.; Praetorius, D.
37
2013
Additive Schwarz preconditioning for \(p\)-version triangular and tetrahedral finite elements. Zbl 1153.65113
Schöberl, Joachim; Melenk, Jens M.; Pechstein, Clemens; Zaglmayr, Sabine
33
2008
Tensor FEM for spectral fractional diffusion. Zbl 1429.65272
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph
33
2019
On approximation in meshless methods. Zbl 1082.65122
Melenk, Jens Markus
31
2005
Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity. Zbl 1312.74031
Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk
31
2013
\(hp\) FEM for reaction-diffusion equations. I: Robust exponential convergence. Zbl 0972.65093
Melenk, Jens Markus; Schwab, Christoph
30
1998
On condition numbers in \(hp\)-FEM with Gauss-Lobatto-based shape functions. Zbl 0997.65128
Melenk, J. M.
29
2002
Mortar methods with curved interfaces. Zbl 1078.65119
Flemisch, B.; Melenk, J. M.; Wohlmuth, B. I.
27
2005
On the robust exponential convergence of \(hp\) finite element methods for problems with boundary layers. Zbl 0887.65106
Melenk, Jens Markus
27
1997
Approximation with harmonic and generalized harmonic polynomials in the partition of unity method. Zbl 0951.65128
Melenk, J. M.; Babuška, I.
25
1997
Approximation of integral operators by variable-order interpolation. Zbl 1076.65121
Börm, Steffen; Löhndorf, Maike; Melenk, Jens M.
24
2005
A high frequency \(hp\) boundary element method for scattering by convex polygons. Zbl 1267.65191
Hewett, D. P.; Langdon, S.; Melenk, J. M.
22
2013
When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)? Zbl 1320.65187
Graham, I. G.; Löhndorf, M.; Melenk, J. M.; Spence, E. A.
22
2015
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation. Zbl 1314.65161
Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk
21
2014
Wavenumber-explicit \(hp\)-BEM for high frequency scattering. Zbl 1236.65149
Löhndorf, Maike; Melenk, Jens Markus
21
2011
Robust exponential convergence of \(hp\)-FEM in balanced norms for singularly perturbed reaction-diffusion equations. Zbl 1336.65148
Melenk, J. M.; Xenophontos, C.
21
2016
Boundary concentrated finite element methods. Zbl 1050.65113
Khoromskij, B. N.; Melenk, J. M.
20
2003
Operator adapted spectral element methods. I: Harmonic and generalized harmonic polynomials. Zbl 0941.65112
Melenk, J. M.
20
1999
\({\mathscr{H}} \)-matrix approximability of inverses of discretizations of the fractional Laplacian. Zbl 1435.65205
Karkulik, Michael; Melenk, Jens Markus
20
2019
Adaptive \(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation. Zbl 1306.74036
Dörsek, P.; Melenk, J. M.
18
2010
On \(n\)-widths for elliptic problems. Zbl 0963.35047
Melenk, J. M.
18
2000
An \(hp\) finite element method for convection-diffusion problems in one dimension. Zbl 0952.65061
Melenk, Jens Markus; Schwab, Christoph
18
1999
Local inverse estimates for non-local boundary integral operators. Zbl 1368.65242
Aurada, M.; Feischl, M.; Führer, T.; Karkulik, M.; Melenk, J. M.; Praetorius, D.
18
2017
Mapping properties of combined field Helmholtz boundary integral operators. Zbl 1254.35072
Melenk, Jens Markus
18
2012
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation. Zbl 1312.65173
Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, J. Markus; Praetorius, Dirk
17
2015
Finite element method for solving problems with singular solutions. Zbl 0865.65080
Babuška, Ivo; Andersson, Börje; Guo, Benqi; Melenk, J. M.; Oh, H. S.
17
1996
Analytic regularity for a singularly perturbed problem. Zbl 1023.35009
Melenk, Jens Markus; Schwab, Christoph
17
1999
\(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices. Zbl 1334.65192
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
17
2015
Quasi-optimal approximation of surface based Lagrange multipliers in finite element methods. Zbl 1262.65159
Melenk, J. M.; Wohlmuth, B.
15
2012
Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis. Zbl 1375.35098
Börm, Steffen; Melenk, Jens M.
15
2017
Robust exponential convergence of \(hp\) FEM for singularly perturbed reaction-diffusion systems with multiple scales. Zbl 1328.65170
Melenk, J. M.; Xenophontos, C.; Oberbroeckling, L.
14
2013
On the suboptimality of the \(p\)-version interior penalty discontinuous Galerkin method. Zbl 1203.65253
Georgoulis, Emmanuil H.; Hall, Edward; Melenk, Jens Markus
13
2010
On commuting \(p\)-version projection-based interpolation on tetrahedra. Zbl 1426.65181
Melenk, J. M.; Rojik, C.
12
2020
Existence of \(\mathcal{H}\)-matrix approximants to the inverses of BEM matrices: the simple-layer operator. Zbl 1327.65253
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
11
2016
Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085
Melenk, Jens M.; Sauter, Stefan A.
10
2021
On optimal \(L^2\)- and surface flux convergence in FEM. Zbl 1380.65370
Horger, T.; Melenk, J. M.; Wohlmuth, B.
10
2013
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Zbl 1478.65121
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
10
2021
Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales. Zbl 1278.34064
Melenk, J. M.; Xenophontos, C.; Oberbroeckling, L.
10
2013
Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation. Zbl 1361.65076
Melenk, Jens Markus; Rieder, Alexander
10
2017
An analysis of discretizations of the Helmholtz equation in \(L^2\) and in negative norms. Zbl 1350.65123
Esterhazy, S.; Melenk, J. M.
9
2014
Local convergence of the FEM for the integral fractional Laplacian. Zbl 07534669
Faustmann, Markus; Karkulik, Michael; Melenk, Jens Markus
9
2022
Quasi-optimal a priori estimates for fluxes in mixed finite element methods and an application to the Stokes-Darcy coupling. Zbl 1426.76291
Melenk, J. M.; Rezaijafari, H.; Wohlmuth, B.
9
2014
Existence of \(\mathcal{H}\)-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator. Zbl 1433.65324
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
9
2017
On the convergence of Filon quadrature. Zbl 1193.41032
Melenk, J. M.
8
2010
Spectral Galerkin discretization for hydrodynamic stability problems. Zbl 0967.76074
Melenk, J. M.; Kirchner, N. P.; Schwab, Ch.
8
2000
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. Zbl 1524.65846
Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander
8
2020
On the stability of the boundary trace of the polynomial \(L^2\)-projection on triangles and tetrahedra. Zbl 1350.65014
Melenk, J. M.; Wurzer, T.
7
2014
\(hp\)-FEM for the fractional heat equation. Zbl 1466.65141
Markus Melenk, Jens; Rieder, Alexander
7
2021
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. Zbl 07381649
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam
7
2021
A local error analysis of the boundary-concentrated \(hp\)-FEM. Zbl 1110.65102
Eibner, T.; Melenk, J. M.
7
2006
Local high-order regularization and applications to \(hp\)-methods. Zbl 1443.65349
Karkulik, M.; Melenk, J. M.
7
2015
An efficient direct solver for the boundary concentrated FEM in 2D. Zbl 1017.65089
Khoromskij, B. N.; Melenk, J. M.
6
2002
An \(hp\)-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems. Zbl 1360.49019
Amrein, Mario; Melenk, Jens Markus; Wihler, Thomas P.
6
2017
Simultaneous quasi-optimal convergence rates in FEM-BEM coupling. Zbl 1359.65263
Melenk, J. M.; Praetorius, D.; Wohlmuth, B.
6
2017
Weighted analytic regularity for the integral fractional Laplacian in polygons. Zbl 1505.35070
Faustmann, Markus; Marcati, Carlo; Melenk, Jens Markus; Schwab, Christoph
6
2022
Functions with time and frequency gaps. Zbl 0913.42007
Melenk, Jens M.; Zimmermann, Georg
5
1996
The \(hp\)-version of the streamline diffusion finite element method in two space dimensions. Zbl 1012.65122
Gerdes, K.; Melenk, J. M.; Schwab, Christoph; Schötzau, Dominik
5
2001
The \(hp\) streamline diffusion finite element method for convection dominated problems in one space dimension. Zbl 0920.65047
Melenk, Jens Markus; Schwab, Christoph
5
1999
Analysis of the \(hp\)-version of a first order system least squares method for the Helmholtz equation. Zbl 1433.65276
Bernkopf, Maximilian; Melenk, Jens Markus
5
2019
Approximating inverse FEM matrices on non-uniform meshes with \(\mathcal{H}\)-matrices. Zbl 1472.65051
Angleitner, Niklas; Faustmann, Markus; Melenk, Jens Markus
5
2021
Symmetry-free, \(p\)-robust equilibrated error indication for the \(hp\)-version of the FEM in nearly incompressible linear elasticity. Zbl 1357.74060
Dörsek, Philipp; Melenk, Jens M.
5
2013
Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. Zbl 1524.65754
Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk
5
2022
An analysis of a butterfly algorithm. Zbl 1396.65171
Börm, S.; Börst, C.; Melenk, J. M.
4
2017
FEM-BEM coupling for the large-body limit in micromagnetics. Zbl 1310.78014
Aurada, M.; Melenk, J. M.; Praetorius, D.
4
2015
Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes. Zbl 1443.65403
Führer, T.; Melenk, J. M.; Praetorius, Dirk; Rieder, Alexander
4
2015
Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation. Zbl 1492.65304
Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander
4
2022
Direct and inverse problems in wave propagation and applications. Selected papers of the workshop on wave propagation and scattering, inverse problems and applications in energy and the environment, Linz, Austria, November 21–25, 2011. Zbl 1272.78001
3
2013
Two-scale regularity for homogenization problems with nonsmooth fine scale geometry. Zbl 1076.35505
Matache, A.-M.; Melenk, J. M.
3
2003
Caccioppoli-type estimates and \(\mathcal{H}\)-matrix approximations to inverses for FEM-BEM couplings. Zbl 1501.65114
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam
3
2022
Metastable speeds in the fractional Allen-Cahn equation. Zbl 1510.65238
Achleitner, Franz; Kuehn, Christian; Melenk, Jens M.; Rieder, Alexander
3
2021
Robust exponential convergence of \(hp\)-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains. Zbl 1397.65264
Faustmann, M.; Melenk, J. M.
3
2017
\(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: the primal formulation. Zbl 1417.74019
Dörsek, P.; Melenk, J. M.
3
2011
Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics. Zbl 1263.78017
Ferraz-Leite, Samuel; Melenk, Jens Markus; Praetorius, Dirk
3
2012
Fast algorithms for setting up the stiffness matrix in \(hp\)-FEM: a comparison. Zbl 1243.65138
Eibner, Tino; Melenk, Jens Marcus
2
2005
Wavenumber explicit analysis for Galerkin discretizations of lossy Helmholtz problems. Zbl 1445.35130
Melenk, Jens M.; Sauter, Stefan A.; Torres, Céline
2
2020
Stable decompositions of \(hp\)-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D. Zbl 07201580
Karkulik, Michael; Melenk, Jens Markus; Rieder, Alexander
2
2020
Mixed conforming elements for the large-body limit in micromagnetics. Zbl 1285.65076
Aurada, Markus; Melenk, Jens M.; Praetorius, Dirk
2
2014
A new proof for existence of \(\mathcal H\)-matrix approximants to the inverse of FEM matrices: the Dirichlet problem for the Laplacian. Zbl 1282.65153
Faustmann, Markus; Melenk, Jens M.; Praetorius, Dirk
2
2014
Local convergence of the boundary element method on polyhedral domains. Zbl 1402.65173
Faustmann, Markus; Melenk, Jens Markus
2
2018
Exponential convergence of hp FEM for spectral fractional diffusion in polygons. Zbl 1511.65117
Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph
2
2023
Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations. Zbl 1532.65113
Ma, Chupeng; Melenk, J. M.
2
2024
Approximation orders for natural splines in arbitrary dimensions. Zbl 0967.41009
Gutzmer, Tim; Melenk, Jens Markus
1
2001
On thin plate spline interpolation. Zbl 1382.65034
Löhndorf, M.; Melenk, J. M.
1
2017
On superconvergence of Runge-Kutta convolution quadrature for the wave equation. Zbl 1467.65091
Melenk, Jens Markus; Rieder, Alexander
1
2021
Runge-Kutta approximation for \(C_0\)-semigroups in the graph norm with applications to time domain boundary integral equations. Zbl 1473.65085
Rieder, Alexander; Sayas, Francisco-Javier; Melenk, Jens Markus
1
2020
Multilevel preconditioning for the boundary concentrated \(hp\)-FEM. Zbl 1173.65355
Eibner, T.; Melenk, J. M.
1
2007
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. Zbl 1523.65090
Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk
1
2023
Exponential convergence of a generalized FEM for heterogeneous reaction-diffusion equations. Zbl 1532.65113
Ma, Chupeng; Melenk, J. M.
2
2024
Exponential convergence of hp FEM for spectral fractional diffusion in polygons. Zbl 1511.65117
Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph
2
2023
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. Zbl 1523.65090
Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk
1
2023
Exponential meshes and \(\mathcal{H}\)-matrices. Zbl 1524.65744
Angleitner, Niklas; Faustmann, Markus; Melenk, Jens Markus
1
2023
Optimal convergence rates in \(L^2\) for a first order system least squares finite element method. I: Homogeneous boundary conditions. Zbl 1516.65123
Bernkopf, Maximilian; Melenk, Jens Markus
1
2023
\(hp\)-FEM for reaction-diffusion equations. II: Robust exponential convergence for multiple length scales in corner domains. Zbl 1537.65165
Banjai, Lehel; Melenk, Jens M.; Schwab, Christoph
1
2023
Local convergence of the FEM for the integral fractional Laplacian. Zbl 07534669
Faustmann, Markus; Karkulik, Michael; Melenk, Jens Markus
9
2022
Weighted analytic regularity for the integral fractional Laplacian in polygons. Zbl 1505.35070
Faustmann, Markus; Marcati, Carlo; Melenk, Jens Markus; Schwab, Christoph
6
2022
Rate-optimal goal-oriented adaptive FEM for semilinear elliptic PDEs. Zbl 1524.65754
Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk
5
2022
Mortar coupling of \(hp\)-discontinuous Galerkin and boundary element methods for the Helmholtz equation. Zbl 1492.65304
Erath, Christoph; Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander
4
2022
Caccioppoli-type estimates and \(\mathcal{H}\)-matrix approximations to inverses for FEM-BEM couplings. Zbl 1501.65114
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam
3
2022
\({\mathcal{H}} \)-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. Zbl 1502.65199
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam
1
2022
Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085
Melenk, Jens M.; Sauter, Stefan A.
10
2021
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian. Zbl 1478.65121
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
10
2021
\(hp\)-FEM for the fractional heat equation. Zbl 1466.65141
Markus Melenk, Jens; Rieder, Alexander
7
2021
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. Zbl 07381649
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam
7
2021
Approximating inverse FEM matrices on non-uniform meshes with \(\mathcal{H}\)-matrices. Zbl 1472.65051
Angleitner, Niklas; Faustmann, Markus; Melenk, Jens Markus
5
2021
Metastable speeds in the fractional Allen-Cahn equation. Zbl 1510.65238
Achleitner, Franz; Kuehn, Christian; Melenk, Jens M.; Rieder, Alexander
3
2021
On superconvergence of Runge-Kutta convolution quadrature for the wave equation. Zbl 1467.65091
Melenk, Jens Markus; Rieder, Alexander
1
2021
On commuting \(p\)-version projection-based interpolation on tetrahedra. Zbl 1426.65181
Melenk, J. M.; Rojik, C.
12
2020
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions. Zbl 1524.65846
Mascotto, Lorenzo; Melenk, Jens M.; Perugia, Ilaria; Rieder, Alexander
8
2020
Wavenumber explicit analysis for Galerkin discretizations of lossy Helmholtz problems. Zbl 1445.35130
Melenk, Jens M.; Sauter, Stefan A.; Torres, Céline
2
2020
Stable decompositions of \(hp\)-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D. Zbl 07201580
Karkulik, Michael; Melenk, Jens Markus; Rieder, Alexander
2
2020
Runge-Kutta approximation for \(C_0\)-semigroups in the graph norm with applications to time domain boundary integral equations. Zbl 1473.65085
Rieder, Alexander; Sayas, Francisco-Javier; Melenk, Jens Markus
1
2020
Tensor FEM for spectral fractional diffusion. Zbl 1429.65272
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph
33
2019
\({\mathscr{H}} \)-matrix approximability of inverses of discretizations of the fractional Laplacian. Zbl 1435.65205
Karkulik, Michael; Melenk, Jens Markus
20
2019
Analysis of the \(hp\)-version of a first order system least squares method for the Helmholtz equation. Zbl 1433.65276
Bernkopf, Maximilian; Melenk, Jens Markus
5
2019
Local convergence of the boundary element method on polyhedral domains. Zbl 1402.65173
Faustmann, Markus; Melenk, Jens Markus
2
2018
Local inverse estimates for non-local boundary integral operators. Zbl 1368.65242
Aurada, M.; Feischl, M.; Führer, T.; Karkulik, M.; Melenk, J. M.; Praetorius, D.
18
2017
Approximation of the high-frequency Helmholtz kernel by nested directional interpolation: error analysis. Zbl 1375.35098
Börm, Steffen; Melenk, Jens M.
15
2017
Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation. Zbl 1361.65076
Melenk, Jens Markus; Rieder, Alexander
10
2017
Existence of \(\mathcal{H}\)-matrix approximants to the inverse of BEM matrices: the hyper-singular integral operator. Zbl 1433.65324
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
9
2017
An \(hp\)-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems. Zbl 1360.49019
Amrein, Mario; Melenk, Jens Markus; Wihler, Thomas P.
6
2017
Simultaneous quasi-optimal convergence rates in FEM-BEM coupling. Zbl 1359.65263
Melenk, J. M.; Praetorius, D.; Wohlmuth, B.
6
2017
An analysis of a butterfly algorithm. Zbl 1396.65171
Börm, S.; Börst, C.; Melenk, J. M.
4
2017
Robust exponential convergence of \(hp\)-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains. Zbl 1397.65264
Faustmann, M.; Melenk, J. M.
3
2017
On thin plate spline interpolation. Zbl 1382.65034
Löhndorf, M.; Melenk, J. M.
1
2017
Robust exponential convergence of \(hp\)-FEM in balanced norms for singularly perturbed reaction-diffusion equations. Zbl 1336.65148
Melenk, J. M.; Xenophontos, C.
21
2016
Existence of \(\mathcal{H}\)-matrix approximants to the inverses of BEM matrices: the simple-layer operator. Zbl 1327.65253
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
11
2016
When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)? Zbl 1320.65187
Graham, I. G.; Löhndorf, M.; Melenk, J. M.; Spence, E. A.
22
2015
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation. Zbl 1312.65173
Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, J. Markus; Praetorius, Dirk
17
2015
\(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices. Zbl 1334.65192
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk
17
2015
Local high-order regularization and applications to \(hp\)-methods. Zbl 1443.65349
Karkulik, M.; Melenk, J. M.
7
2015
FEM-BEM coupling for the large-body limit in micromagnetics. Zbl 1310.78014
Aurada, M.; Melenk, J. M.; Praetorius, D.
4
2015
Optimal additive Schwarz methods for the \(hp\)-BEM: the hypersingular integral operator in 3D on locally refined meshes. Zbl 1443.65403
Führer, T.; Melenk, J. M.; Praetorius, Dirk; Rieder, Alexander
4
2015
Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation. Zbl 1314.65161
Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk
21
2014
An analysis of discretizations of the Helmholtz equation in \(L^2\) and in negative norms. Zbl 1350.65123
Esterhazy, S.; Melenk, J. M.
9
2014
Quasi-optimal a priori estimates for fluxes in mixed finite element methods and an application to the Stokes-Darcy coupling. Zbl 1426.76291
Melenk, J. M.; Rezaijafari, H.; Wohlmuth, B.
9
2014
On the stability of the boundary trace of the polynomial \(L^2\)-projection on triangles and tetrahedra. Zbl 1350.65014
Melenk, J. M.; Wurzer, T.
7
2014
Mixed conforming elements for the large-body limit in micromagnetics. Zbl 1285.65076
Aurada, Markus; Melenk, Jens M.; Praetorius, Dirk
2
2014
A new proof for existence of \(\mathcal H\)-matrix approximants to the inverse of FEM matrices: the Dirichlet problem for the Laplacian. Zbl 1282.65153
Faustmann, Markus; Melenk, Jens M.; Praetorius, Dirk
2
2014
General DG-methods for highly indefinite Helmholtz problems. Zbl 1292.65128
Melenk, J. M.; Parsania, A.; Sauter, S.
63
2013
Quasi-optimal convergence rate for an adaptive boundary element method. Zbl 1273.65186
Feischl, M.; Karkulik, M.; Melenk, J. M.; Praetorius, D.
37
2013
Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity. Zbl 1312.74031
Aurada, Markus; Feischl, Michael; Führer, Thomas; Karkulik, Michael; Melenk, Jens Markus; Praetorius, Dirk
31
2013
A high frequency \(hp\) boundary element method for scattering by convex polygons. Zbl 1267.65191
Hewett, D. P.; Langdon, S.; Melenk, J. M.
22
2013
Robust exponential convergence of \(hp\) FEM for singularly perturbed reaction-diffusion systems with multiple scales. Zbl 1328.65170
Melenk, J. M.; Xenophontos, C.; Oberbroeckling, L.
14
2013
On optimal \(L^2\)- and surface flux convergence in FEM. Zbl 1380.65370
Horger, T.; Melenk, J. M.; Wohlmuth, B.
10
2013
Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales. Zbl 1278.34064
Melenk, J. M.; Xenophontos, C.; Oberbroeckling, L.
10
2013
Symmetry-free, \(p\)-robust equilibrated error indication for the \(hp\)-version of the FEM in nearly incompressible linear elasticity. Zbl 1357.74060
Dörsek, Philipp; Melenk, Jens M.
5
2013
Direct and inverse problems in wave propagation and applications. Selected papers of the workshop on wave propagation and scattering, inverse problems and applications in energy and the environment, Linz, Austria, November 21–25, 2011. Zbl 1272.78001
3
2013
On stability of discretizations of the Helmholtz equation. Zbl 1248.65115
Esterhazy, S.; Melenk, J. M.
62
2012
Mapping properties of combined field Helmholtz boundary integral operators. Zbl 1254.35072
Melenk, Jens Markus
18
2012
Quasi-optimal approximation of surface based Lagrange multipliers in finite element methods. Zbl 1262.65159
Melenk, J. M.; Wohlmuth, B.
15
2012
Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics. Zbl 1263.78017
Ferraz-Leite, Samuel; Melenk, Jens Markus; Praetorius, Dirk
3
2012
Wavenumber explicit convergence analysis for Galerkin discretizations of the Helmholtz equation. Zbl 1229.35038
Melenk, J. M.; Sauter, S.
139
2011
Runge-Kutta convolution quadrature for operators arising in wave propagation. Zbl 1227.65027
Banjai, Lehel; Lubich, Christian; Melenk, Jens Markus
47
2011
Wavenumber-explicit \(hp\)-BEM for high frequency scattering. Zbl 1236.65149
Löhndorf, Maike; Melenk, Jens Markus
21
2011
\(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: the primal formulation. Zbl 1417.74019
Dörsek, P.; Melenk, J. M.
3
2011
Optimal a priori estimates for higher order finite elements for elliptic interface problems. Zbl 1208.65168
Li, Jingzhi; Melenk, Jens Markus; Wohlmuth, Barbara; Zou, Jun
122
2010
Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions. Zbl 1205.65301
Melenk, J. M.; Sauter, S.
115
2010
Adaptive \(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation. Zbl 1306.74036
Dörsek, P.; Melenk, J. M.
18
2010
On the suboptimality of the \(p\)-version interior penalty discontinuous Galerkin method. Zbl 1203.65253
Georgoulis, Emmanuil H.; Hall, Edward; Melenk, Jens Markus
13
2010
On the convergence of Filon quadrature. Zbl 1193.41032
Melenk, J. M.
8
2010
Additive Schwarz preconditioning for \(p\)-version triangular and tetrahedral finite elements. Zbl 1153.65113
Schöberl, Joachim; Melenk, Jens M.; Pechstein, Clemens; Zaglmayr, Sabine
33
2008
An adaptive strategy for \(hp\)-FEM based on testing for analyticity. Zbl 1163.65331
Eibner, T.; Melenk, J. M.
41
2007
Multilevel preconditioning for the boundary concentrated \(hp\)-FEM. Zbl 1173.65355
Eibner, T.; Melenk, J. M.
1
2007
A local error analysis of the boundary-concentrated \(hp\)-FEM. Zbl 1110.65102
Eibner, T.; Melenk, J. M.
7
2006
\(hp\)-interpolation of nonsmooth functions and an application to \(hp\)-a posteriori error estimation. Zbl 1087.65108
Melenk, J. M.
66
2005
On approximation in meshless methods. Zbl 1082.65122
Melenk, Jens Markus
31
2005
Mortar methods with curved interfaces. Zbl 1078.65119
Flemisch, B.; Melenk, J. M.; Wohlmuth, B. I.
27
2005
Approximation of integral operators by variable-order interpolation. Zbl 1076.65121
Börm, Steffen; Löhndorf, Maike; Melenk, Jens M.
24
2005
Fast algorithms for setting up the stiffness matrix in \(hp\)-FEM: a comparison. Zbl 1243.65138
Eibner, Tino; Melenk, Jens Marcus
2
2005
Boundary concentrated finite element methods. Zbl 1050.65113
Khoromskij, B. N.; Melenk, J. M.
20
2003
Two-scale regularity for homogenization problems with nonsmooth fine scale geometry. Zbl 1076.35505
Matache, A.-M.; Melenk, J. M.
3
2003
\(hp\)-finite element methods for singular perturbations. Zbl 1021.65055
Melenk, Jens M.
76
2002
On condition numbers in \(hp\)-FEM with Gauss-Lobatto-based shape functions. Zbl 0997.65128
Melenk, J. M.
29
2002
An efficient direct solver for the boundary concentrated FEM in 2D. Zbl 1017.65089
Khoromskij, B. N.; Melenk, J. M.
6
2002
On residual-based a posteriori error estimation in hp-FEM. Zbl 0991.65111
Melenk, J. M.; Wohlmuth, B. I.
105
2001
Fully discrete \(hp\)-finite elements: Fast quadrature. Zbl 0985.65141
Melenk, J. M.; Gerdes, K.; Schwab, Ch.
48
2001
The \(hp\)-version of the streamline diffusion finite element method in two space dimensions. Zbl 1012.65122
Gerdes, K.; Melenk, J. M.; Schwab, Christoph; Schötzau, Dominik
5
2001
Approximation orders for natural splines in arbitrary dimensions. Zbl 0967.41009
Gutzmer, Tim; Melenk, Jens Markus
1
2001
On \(n\)-widths for elliptic problems. Zbl 0963.35047
Melenk, J. M.
18
2000
Spectral Galerkin discretization for hydrodynamic stability problems. Zbl 0967.76074
Melenk, J. M.; Kirchner, N. P.; Schwab, Ch.
8
2000
Operator adapted spectral element methods. I: Harmonic and generalized harmonic polynomials. Zbl 0941.65112
Melenk, J. M.
20
1999
An \(hp\) finite element method for convection-diffusion problems in one dimension. Zbl 0952.65061
Melenk, Jens Markus; Schwab, Christoph
18
1999
Analytic regularity for a singularly perturbed problem. Zbl 1023.35009
Melenk, Jens Markus; Schwab, Christoph
17
1999
The \(hp\) streamline diffusion finite element method for convection dominated problems in one space dimension. Zbl 0920.65047
Melenk, Jens Markus; Schwab, Christoph
5
1999
\(hp\) FEM for reaction-diffusion equations. I: Robust exponential convergence. Zbl 0972.65093
Melenk, Jens Markus; Schwab, Christoph
30
1998
The partition of unity method. Zbl 0949.65117
Babuška, I.; Melenk, J. M.
863
1997
On the robust exponential convergence of \(hp\) finite element methods for problems with boundary layers. Zbl 0887.65106
Melenk, Jens Markus
27
1997
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67 Melenk, Jens Markus
41 Praetorius, Dirk
37 Babuška, Ivo
31 Belytschko, Ted Bohdan
30 Spence, Euan A.
29 Trevelyan, Jon
28 Bordas, Stéphane Pierre Alain
28 Duarte, Carlos Armando
28 Zheng, Hong
26 Sukumar, Natarajan
24 Sauter, Stefan
24 Schwab, Christoph
23 Laghrouche, Omar
21 Wohlmuth, Barbara I.
20 Moës, Nicolas
20 Mohamed, M. Shadi
20 Yang, Yongtao
19 Xenophontos, Christos A.
18 Banerjee, Uday
18 Cavoretto, Roberto
18 Chaumont-Frelet, Théophile
18 Chen, Jiun-Shyan
18 Dehghan Takht Fooladi, Mehdi
18 Feischl, Michael
18 Führer, Thomas
18 Rabczuk, Timon
18 Seaïd, Mohammed
18 Zhang, Qinghui
17 De Rossi, Alessandra
17 Faustmann, Markus
17 Peterseim, Daniel
16 Börm, Steffen
16 Karkulik, Michael
16 Perugia, Ilaria
16 Sluys, Lambertus Johannes
15 Chung, Tsz Shun Eric
15 Farhat, Charbel H.
15 Hiptmair, Ralf
15 Liu, Gui-Rong
15 Wu, Haijun
14 Dolbow, John E.
14 Mascotto, Lorenzo
14 Oh, Hae-Soo
14 Schweitzer, Marc Alexander
14 Zhang, Zhimin
13 Chen, Yanping
13 Giani, Stefano
13 Liu, Wing Kam
13 Monk, Peter B.
13 Nochetto, Ricardo Horacio
13 Stephan, Ernst Peter
13 Vohralík, Martin
12 Bettess, Peter
12 Cueto, Elias
12 Harari, Isaac
12 Natarajan, Sundararajan
12 Schroder, Andreas
12 Shivanian, Elyas
12 Soghrati, Soheil
11 Banjai, Lehel
11 Barros, Felício Bruzzi
11 Dolejší, Vít
11 Du, Yu
11 El Kacimi, Abdellah
11 Fu, Shubin
11 Graham, Ivan G.
11 Gravouil, Anthony
11 Guo, Ruchi
11 Houston, Paul
11 Ji, Haifeng
11 Rieder, Alexander
11 Sayas, Francisco-Javier
11 Tian, Rong
11 Wihler, Thomas Pascal
10 Banz, Lothar
10 Beuchler, Sven
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10 Huang, Yunqing
10 Lin, Tao
10 Nicaise, Serge
10 Nikan, Omid
10 Schöberl, Joachim
10 Tezaur, Radek
9 Avazzadeh, Zakieh
9 Benvenuti, Elena
9 Davis, Christopher B.
9 de Borst, René
9 Deka, Bhupen
9 Demkowicz, Leszek
9 Doblaré, Manuel
9 Ern, Alexandre
9 Galkowski, Jeffrey
9 Gantner, Gregor
9 Gavete, Luis
9 Hou, Thomas Yizhao
9 Perracchione, Emma
9 Perrey-Debain, Emmanuel
8 Beirão da Veiga, Lourenço
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