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Author ID: hiptmair.ralf Recent zbMATH articles by "Hiptmair, Ralf"
Published as: Hiptmair, Ralf; Hiptmair, R.
all top 5

Co-Authors

20 single-authored
14 Claeys, Xavier
12 Perugia, Ilaria
11 Moiola, Andrea
10 Hoppe, Ronald H. W.
8 Jerez-Hanckes, Carlos
7 Ostrowski, Jörg
6 Heumann, Holger
6 Li, Jingzhi
6 Schwab, Christoph
5 Buffa, Annalisa
5 Urzúa-Torres, Carolina
5 Wohlmuth, Barbara I.
5 Zou, Jun
4 Langer, Ulrich
4 Pagliantini, Cecilia
4 Schulz, Erick
4 Spindler, Elke
3 Casati, Daniele
3 Gradinaru, Vasile
3 Joly, Patrick
3 Mao, Shipeng
3 Paganini, Alberto
3 Valli, Alberto
3 Zheng, Weiying
2 Alonso Rodríguez, Ana
2 Ayuso de Dios, Blanca
2 Beck, Rudolf
2 Börm, Steffen
2 Gittelson, Claude Jeffrey
2 Grohs, Philipp
2 Meury, Patrick
2 Panchal, Piyush
2 Pechstein, Clemens
2 Peng, Zhen
2 Pintarelli, Simon
2 Schmidt, Kersten
2 Widmer, Gerhard
2 Xu, Jinchao
1 Beck, Rudi
1 Bermúdez, Alfredo
1 Bespalov, Alexei
1 Boffi, Daniele
1 Casagrande, Raffael
1 Chaillat-Loseille, Stéphanie
1 Codecasa, Lorenzo
1 Costabel, Martin
1 Dauge, Monique
1 Demkowicz, Leszek F.
1 Deuflhard, Peter
1 Eberle-Blick, Sarah
1 Florian, Francesco
1 Fonn, Eivind
1 Fuhrmann, Henning
1 Ganesh, Mahadevan
1 Giacomel, Lorenzo
1 Haddar, Houssem
1 Hawkins, Stuart Collin
1 Heuer, Norbert
1 Hohage, Thorsten
1 Kotiuga, Peter Robert
1 Ledger, Paul David
1 Lee, Jin-Fa
1 Li, Kun
1 Li, Lingxiao
1 López-Fernández, María
1 MacKie-Mason, Brian
1 Mazurkevitch, George
1 Monk, Peter B.
1 Moro, Federico
1 Neymeyr, Klaus
1 Pauly, Dirk
1 Rodríguez, Rodolfo
1 Sargheini, S.
1 Sauter, Stefan A.
1 Scarabosio, Laura
1 Schädle, Achim
1 Schiekofer, Thomas
1 Schillings, Claudia
1 Schumacher, Henrik
1 Shao, Yang
1 Sinha, Gaurav
1 Smajic, Jasmin
1 Spence, Euan A.
1 Steinbach, Olaf
1 Steinmetz, Thorsten
1 Sterz, Oliver
1 Tordeux, Sébastien
1 Toselli, Andrea
1 von Petersdorff, Tobias
1 Wardetzky, Max
1 Winkelmann, Christoph
1 Wu, Haijun
1 Zeller, Benedikt
all top 5

Serials

11 SIAM Journal on Numerical Analysis
8 Numerische Mathematik
7 BIT
6 Integral Equations and Operator Theory
5 Oberwolfach Reports
4 IMA Journal of Numerical Analysis
4 Mathematics of Computation
4 Computing
4 Advances in Computational Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Computers & Mathematics with Applications
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 International Journal for Numerical Methods in Engineering
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 SIAM Journal on Mathematical Analysis
3 SMAI Journal of Computational Mathematics
2 Inverse Problems
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Functional Analysis
2 Numerical Algorithms
2 SIAM Journal on Scientific Computing
2 ETNA. Electronic Transactions on Numerical Analysis
2 Foundations of Computational Mathematics
2 Computational Methods in Applied Mathematics
2 Journal of Numerical Mathematics
2 Discrete and Continuous Dynamical Systems. Series S
1 Classical and Quantum Gravity
1 Communications on Pure and Applied Mathematics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational and Applied Mathematics
1 Mathematische Zeitschrift
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Computing
1 Journal of Computational Mathematics
1 Applied Numerical Mathematics
1 COMPEL
1 Numerical Methods for Partial Differential Equations
1 Journal of Scientific Computing
1 Surveys on Mathematics for Industry
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 East-West Journal of Numerical Mathematics
1 Discrete and Continuous Dynamical Systems
1 Computing and Visualization in Science
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 International Journal of Numerical Modelling
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 IEEE Transactions on Antennas and Propagation
1 Acta Numerica
1 Augsburger Mathematisch-Naturwissenschaftliche Schriften
1 Lecture Notes in Mathematics
1 Communications in Computational Physics
1 Numerical Mathematics: Theory, Methods and Applications

Publications by Year

Citations contained in zbMATH Open

118 Publications have been cited 2,245 times in 1,304 Documents Cited by Year
Finite elements in computational electromagnetism. Zbl 1123.78320
Hiptmair, R.
347
2002
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
115
2007
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
104
2009
Multigrid method for Maxwell’s equations. Zbl 0922.65081
Hiptmair, R.
101
1998
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the \(p\)-version. Zbl 1229.65215
Hiptmair, R.; Moiola, A.; Perugia, I.
87
2011
Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113
Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara
86
2000
Canonical construction of finite elements. Zbl 0938.65132
Hiptmair, R.
68
1999
Galerkin boundary element methods for electromagnetic scattering. Zbl 1055.78013
Buffa, Annalisa; Hiptmair, Ralf
51
2003
Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070
Moiola, A.; Hiptmair, R.; Perugia, I.
51
2011
Boundary element methods for Maxwell transmission problems in Lipschitz domains. Zbl 1071.65160
Buffa, Annalisa; Hiptmair, Ralf; von Petersdorff, Tobias; Schwab, Christoph
51
2003
Operator preconditioning. Zbl 1125.65037
Hiptmair, R.
51
2006
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
48
2015
A fully divergence-free finite element method for magnetohydrodynamic equations. Zbl 1393.65031
Hiptmair, Ralf; Li, Lingxiao; Mao, Shipeng; Zheng, Weiying
44
2018
A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
38
2016
Discrete Hodge operators. Zbl 0993.65130
Hiptmair, R.
36
2001
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
35
2013
Symmetric coupling for eddy current problems. Zbl 1010.78011
Hiptmair, R.
35
2002
Multiple traces boundary integral formulation for Helmholtz transmission problems. Zbl 1261.65123
Hiptmair, R.; Jerez-Hanckes, C.
31
2012
Natural boundary element methods for the electric field integral equation on polyhedra. Zbl 1010.78014
Hiptmair, Ralf; Schwab, Christoph
27
2002
Adaptive multilevel methods for edge element discretizations of Maxwell’s equations. Zbl 0939.65136
Beck, Rudolf; Deuflhard, Peter; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara
25
1999
Regularized combined field integral equations. Zbl 1067.65137
Buffa, A.; Hiptmair, R.
25
2005
Multi-trace boundary integral formulation for acoustic scattering by composite structures. Zbl 1366.74030
Claeys, Xavier; Hiptmair, Ralf
24
2013
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
23
2018
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
22
2011
Coupling of finite elements and boundary elements in electromagnetic scattering. Zbl 1049.78021
Hiptmair, R.
22
2003
Multigrid method for \(H\text{(div)}\) in three dimensions. Zbl 0897.65046
Hiptmair, R.
22
1997
Sparse adaptive finite elements for radiative transfer. Zbl 1147.65095
Widmer, G.; Hiptmair, R.; Schwab, Ch.
21
2008
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
21
2014
Mixed finite element approximation of eddy current problems. Zbl 1114.78012
Alonso Rodríguez, Ana; Hiptmair, Ralf; Valli, Alberto
20
2004
Convergence analysis of finite element methods for \(H\) (curl; \(\Omega \))-elliptic interface problems. Zbl 1268.78020
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
19
2012
Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version. Zbl 1347.65176
Hiptmair, R.; Moiola, A.; Perugia, I.
19
2016
A coercive combined field integral equation for electromagnetic scattering. Zbl 1082.78003
Buffa, A.; Hiptmair, R.
18
2004
Stabilized FEM-BEM coupling for Helmholtz transmission problems. Zbl 1221.65308
Hiptmair, R.; Meury, P.
16
2006
Electromagnetic scattering at composite objects: a novel multi-trace boundary integral formulation. Zbl 1277.78032
Claeys, Xavier; Hiptmair, Ralf
16
2012
Overlapping and multilevel Schwarz methods for vector valued elliptic problems in three dimensions. Zbl 0961.65109
Hiptmair, Ralf; Toselli, Andrea
15
2000
Analysis of tensor product multigrid. Zbl 0973.65118
Börm, S.; Hiptmair, R.
15
2001
Dispersion analysis of plane wave discontinuous Galerkin methods. Zbl 1352.65503
Gittelson, Claude J.; Hiptmair, Ralf
15
2014
Multitrace boundary integral equations. Zbl 1291.78040
Claeys, Xavier; Hiptmair, Ralf; Jerez-Hanckes, Carlos
15
2013
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz \(hp\)-dGFEM. Zbl 1295.31004
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph
15
2014
Whitney elements on pyramids. Zbl 0970.65120
Gradinaru, V.; Hiptmair, R.
14
1999
Novel multitrace boundary integral equations for transmission boundary value problems. Zbl 1346.65066
Claeys, X.; Hiptmair, R.; Jerez-Hanckes, C.; Pintarelli, S.
14
2015
Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
14
2010
Hierarchical error estimator for eddy current computation. Zbl 0970.78006
Beck, R.; Hiptmair, R.; Wohlmuth, B.
13
2000
Convergence analysis with parameter estimates for a reduced basis acoustic scattering T-matrix method. Zbl 1275.65074
Ganesh, M.; Hawkins, S. C.; Hiptmair, R.
13
2012
Convergence of the natural \(hp\)-BEM for the electric field integral equation on polyhedral surfaces. Zbl 1223.65083
Bespalov, A.; Heuer, N.; Hiptmair, R.
12
2010
Local multigrid in \(\boldsymbol{H} (\mathbf{curl})\). Zbl 1212.65486
Hiptmair, Ralf; Zheng, Weiying
12
2009
A hybrid formulation of eddy current problems. Zbl 1079.78023
Alonso Rodrigez, Ana; Hiptmair, Ralf; Valli, Alberto
11
2005
A second-kind Galerkin boundary element method for scattering at composite objects. Zbl 1316.65105
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
11
2015
Shape derivatives in differential forms. I: An intrinsic perspective. Zbl 1278.35056
Hiptmair, Ralf; Li, Jingzhi
11
2013
Multilevel method for mixed eigenproblems. Zbl 1013.65120
Hiptmair, R.; Neymeyr, K.
10
2002
Auxiliary space preconditioning in \(H_0(\text{curl};\Omega)\). Zbl 1094.65118
Hiptmair, R.; Widmer, G.; Zou, J.
10
2006
Self-adjoint curl operators. Zbl 1275.47100
Hiptmair, Ralf; Kotiuga, Peter Robert; Tordeux, Sébastien
10
2012
Analysis of multilevel methods for eddy current problems. Zbl 1018.78008
Hiptmair, R.
10
2003
Mesh-independent operator preconditioning for boundary elements on open curves. Zbl 1310.65155
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Urzúa-Torres, Carolina
10
2014
Shape derivatives for scattering problems. Zbl 1421.35352
Hiptmair, Ralf; Li, Jingzhi
9
2018
Computation of resonant modes for axisymmetric Maxwell cavities using \(hp\)-version edge finite elements. Zbl 1121.78013
Hiptmair, R.; Ledger, P. D.
9
2005
Vekua theory for the Helmholtz operator. Zbl 1266.35016
Moiola, A.; Hiptmair, R.; Perugia, I.
9
2011
Generators of \(H_1(\Gamma_{h},\mathbb{Z})\) for triangulated surfaces: Construction and classification. Zbl 1001.05046
Hiptmair, R.; Ostrowski, J.
9
2002
Shape optimization by pursuing diffeomorphisms. Zbl 1321.49076
Hiptmair, Ralf; Paganini, Alberto
9
2015
Fast convolution quadrature based impedance boundary conditions. Zbl 1301.65106
Hiptmair, Ralf; López-Fernández, María; Paganini, Alberto
9
2014
Current and voltage excitations for the eddy current model. Zbl 1099.78021
Hiptmair, R.; Sterz, O.
9
2005
Integral equations on multi-screens. Zbl 1292.45001
Claeys, X.; Hiptmair, R.
9
2013
Discrete regular decompositions of tetrahedral discrete 1-forms. Zbl 1445.78011
Hiptmair, Ralf; Pechstein, Clemens
8
2019
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
8
2012
Multigrid computation of axisymmetric electromagnetic fields. Zbl 0998.65124
Börm, S.; Hiptmair, R.
8
2002
Multilevel solution of the time-harmonic Maxwell’s equations based on edge elements. Zbl 0930.35167
Beck, Rudolf; Hiptmair, Ralf
8
1999
Universal extension for Sobolev spaces of differential forms and applications. Zbl 1302.46024
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
8
2012
Discrete compactness for the \(p\)-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
8
2011
Multilevel methods for mixed finite elements in three dimensions. Zbl 0929.65124
Hiptmair, Ralf; Hoppe, Ronald H. W.
7
1999
Closed-form inverses of the weakly singular and hypersingular operators on disks. Zbl 1390.45026
Hiptmair, R.; Jerez-Hanckes, C.; Urzúa-Torres, C.
7
2018
Hyperbolic cross approximation for the spatially homogeneous Boltzmann equation. Zbl 1330.76101
Fonn, E.; Grohs, P.; Hiptmair, R.
7
2015
Stable multilevel splittings of boundary edge element spaces. Zbl 1266.78033
Hiptmair, Ralf; Mao, Shipeng
7
2012
Extension by zero in discrete trace spaces: inverse estimates. Zbl 1321.65179
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Mao, Shipeng
6
2015
Asymptotic boundary element methods for thin conducting sheets. Zbl 1302.78027
Schmidt, Kersten; Hiptmair, Ralf
6
2015
Second kind boundary integral equation for multi-subdomain diffusion problems. Zbl 1381.65094
Claeys, X.; Hiptmair, R.; Spindler, Elke
5
2017
Non-reflecting boundary conditions for Maxwell’s equations. Zbl 1042.78010
Hiptmair, R.; Schädle, A.
5
2003
Stabilized FEM-BEM coupling for Maxwell transmission problems. Zbl 1144.78026
Hiptmair, R.; Meury, P.
5
2008
Domain decomposition for boundary integral equations via local multi-trace formulations. Zbl 1382.65429
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Lee, Jin-Fa; Peng, Zhen
5
2014
Maxwell’s equations: continuous and discrete. Zbl 1331.78035
Hiptmair, Ralf
5
2015
Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms. Zbl 1211.65126
Heumann, Holger; Hiptmair, Ralf
5
2011
Boundary element methods for eddy current computation. Zbl 1298.78032
Hiptmair, Ralf
5
2007
Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148
Hiptmair, Ralf; Perugia, Ilaria
5
2009
Tensor-product discretization for the spatially inhomogeneous and transient Boltzmann equation in two dimensions. Zbl 1416.82038
Grohs, Philipp; Hiptmair, Ralf; Pintarelli, Simon
5
2017
First-kind boundary integral equations for the Hodge-Helmholtz operator. Zbl 1409.35062
Claeys, Xavier; Hiptmair, Ralf
4
2019
Domain decomposition preconditioning for surface integral equations in solving challenging electromagnetic scattering problems. Zbl 1374.78043
Peng, Zhen; Hiptmair, Ralf; Shao, Yang; MacKie-Mason, Brian
4
2016
Convergence of lowest-order semi-Lagrangian schemes. Zbl 1273.65121
Heumann, Holger; Hiptmair, Ralf
4
2013
Integral equations for electromagnetic scattering at multi-screens. Zbl 1337.78008
Claeys, X.; Hiptmair, R.
4
2016
Multilevel preconditioned augmented Lagrangian techniques for \(2\)nd order mixed problems. Zbl 0904.65106
Hiptmair, R.; Schiekofer, T.; Wohlmuth, B.
3
1996
Multilevel preconditioning for mixed problems in three dimensions. Zbl 0851.65089
Hiptmair, Ralf
3
1996
Real interpolation of spaces of differential forms. Zbl 1242.46026
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
3
2012
Multilevel gauging for edge elements. Zbl 0955.65087
Hiptmair, R.
3
2000
Fully discrete semi-Lagrangian methods for advection of differential forms. Zbl 1267.65130
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao
3
2012
Integral equations for acoustic scattering by partially impenetrable composite objects. Zbl 1315.65101
Claeys, X.; Hiptmair, R.
3
2015
Coupled boundary-element scheme for eddy-current computation. Zbl 1066.78017
Hiptmair, Ralf; Ostrowski, Jörg
3
2005
Splitting-based structure preserving discretizations for magnetohydrodynamics. Zbl 1416.76343
Hiptmair, Ralf; Pagliantini, Cecilia
3
2018
Second-kind boundary integral equations for electromagnetic scattering at composite objects. Zbl 1397.65307
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
3
2017
Compact equivalent inverse of the electric field integral operator on screens. Zbl 1446.45015
Hiptmair, R.; Urzúa-Torres, C.
2
2020
First-kind Galerkin boundary element methods for the Hodge-Laplacian in three dimensions. Zbl 1446.31002
Claeys, Xavier; Hiptmair, Ralf
2
2020
DG treatment of non-conforming interfaces in 3D curl-curl problems. Zbl 1383.78034
Casagrande, Raffael; Winkelmann, Christoph; Hiptmair, Ralf; Ostrowski, Joerg
2
2016
Stabilized Galerkin for transient advection of differential forms. Zbl 1334.65148
Pagliantini, Cecilia; Hiptmair, Ralf; Heumann, Holger
2
2016
Coupled domain-boundary variational formulations for Hodge-Helmholtz operators. Zbl 1491.35409
Schulz, Erick; Hiptmair, Ralf
1
2022
Spurious resonances in coupled domain-boundary variational formulations of transmission problems in electromagnetism and acoustics. Zbl 1507.78007
Schulz, Erick; Hiptmair, Ralf
1
2022
A stable boundary integral formulation of an acoustic wave transmission problem with mixed boundary conditions. Zbl 1467.65115
Eberle, S.; Florian, F.; Hiptmair, R.; Sauter, S. A.
1
2021
Frequency-stable full Maxwell in electro-quasistatic gauge. Zbl 1479.35853
Ostrowski, Jörg; Hiptmair, Ralf
1
2021
Compact equivalent inverse of the electric field integral operator on screens. Zbl 1446.45015
Hiptmair, R.; Urzúa-Torres, C.
2
2020
First-kind Galerkin boundary element methods for the Hodge-Laplacian in three dimensions. Zbl 1446.31002
Claeys, Xavier; Hiptmair, Ralf
2
2020
A review of regular decompositions of vector fields: continuous, discrete, and structure-preserving. Zbl 1484.65257
Hiptmair, Ralf; Pechstein, Clemens
2
2020
Preconditioning the EFIE on screens. Zbl 1451.78044
Hiptmair, Ralf; Urzúa-Torres, Carolina
1
2020
Coupling FEM with a multiple-subdomain Trefftz method. Zbl 1447.35130
Casati, Daniele; Hiptmair, Ralf
1
2020
Discrete regular decompositions of tetrahedral discrete 1-forms. Zbl 1445.78011
Hiptmair, Ralf; Pechstein, Clemens
8
2019
First-kind boundary integral equations for the Hodge-Helmholtz operator. Zbl 1409.35062
Claeys, Xavier; Hiptmair, Ralf
4
2019
Elastic energy regularization for inverse obstacle scattering problems. Zbl 1432.35249
Eckhardt, J.; Hiptmair, R.; Hohage, T.; Schumacher, H.; Wardetzky, M.
1
2019
Coupling finite elements and auxiliary sources. Zbl 1442.65349
Casati, Daniele; Hiptmair, R.
1
2019
A fully divergence-free finite element method for magnetohydrodynamic equations. Zbl 1393.65031
Hiptmair, Ralf; Li, Lingxiao; Mao, Shipeng; Zheng, Weiying
44
2018
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
23
2018
Shape derivatives for scattering problems. Zbl 1421.35352
Hiptmair, Ralf; Li, Jingzhi
9
2018
Closed-form inverses of the weakly singular and hypersingular operators on disks. Zbl 1390.45026
Hiptmair, R.; Jerez-Hanckes, C.; Urzúa-Torres, C.
7
2018
Splitting-based structure preserving discretizations for magnetohydrodynamics. Zbl 1416.76343
Hiptmair, Ralf; Pagliantini, Cecilia
3
2018
Second-kind boundary integral equations for scattering at composite partly impenetrable objects. Zbl 1488.65699
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
1
2018
Second kind boundary integral equation for multi-subdomain diffusion problems. Zbl 1381.65094
Claeys, X.; Hiptmair, R.; Spindler, Elke
5
2017
Tensor-product discretization for the spatially inhomogeneous and transient Boltzmann equation in two dimensions. Zbl 1416.82038
Grohs, Philipp; Hiptmair, Ralf; Pintarelli, Simon
5
2017
Second-kind boundary integral equations for electromagnetic scattering at composite objects. Zbl 1397.65307
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
3
2017
Auxiliary space preconditioners for SIP-DG discretizations of \(\mathrm{H}(\mathbf{curl})\)-elliptic problems with discontinuous coefficients. Zbl 1433.65264
Ayuso de Dios, Blanca; Hiptmair, Ralf; Pagliantini, Cecilia
2
2017
Asymptotic expansion techniques for singularly perturbed boundary integral equations. Zbl 1378.65181
Schmidt, Kersten; Hiptmair, Ralf
1
2017
A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
38
2016
Plane wave discontinuous Galerkin methods: exponential convergence of the \(hp\)-version. Zbl 1347.65176
Hiptmair, R.; Moiola, A.; Perugia, I.
19
2016
Domain decomposition preconditioning for surface integral equations in solving challenging electromagnetic scattering problems. Zbl 1374.78043
Peng, Zhen; Hiptmair, Ralf; Shao, Yang; MacKie-Mason, Brian
4
2016
Integral equations for electromagnetic scattering at multi-screens. Zbl 1337.78008
Claeys, X.; Hiptmair, R.
4
2016
DG treatment of non-conforming interfaces in 3D curl-curl problems. Zbl 1383.78034
Casagrande, Raffael; Winkelmann, Christoph; Hiptmair, Ralf; Ostrowski, Joerg
2
2016
Stabilized Galerkin for transient advection of differential forms. Zbl 1334.65148
Pagliantini, Cecilia; Hiptmair, Ralf; Heumann, Holger
2
2016
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
48
2015
Novel multitrace boundary integral equations for transmission boundary value problems. Zbl 1346.65066
Claeys, X.; Hiptmair, R.; Jerez-Hanckes, C.; Pintarelli, S.
14
2015
A second-kind Galerkin boundary element method for scattering at composite objects. Zbl 1316.65105
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
11
2015
Shape optimization by pursuing diffeomorphisms. Zbl 1321.49076
Hiptmair, Ralf; Paganini, Alberto
9
2015
Hyperbolic cross approximation for the spatially homogeneous Boltzmann equation. Zbl 1330.76101
Fonn, E.; Grohs, P.; Hiptmair, R.
7
2015
Extension by zero in discrete trace spaces: inverse estimates. Zbl 1321.65179
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Mao, Shipeng
6
2015
Asymptotic boundary element methods for thin conducting sheets. Zbl 1302.78027
Schmidt, Kersten; Hiptmair, Ralf
6
2015
Maxwell’s equations: continuous and discrete. Zbl 1331.78035
Hiptmair, Ralf
5
2015
Integral equations for acoustic scattering by partially impenetrable composite objects. Zbl 1315.65101
Claeys, X.; Hiptmair, R.
3
2015
Stabilized Galerkin for linear advection of vector fields. Zbl 1328.65240
Heumann, Holger; Hiptmair, Ralf
1
2015
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
21
2014
Dispersion analysis of plane wave discontinuous Galerkin methods. Zbl 1352.65503
Gittelson, Claude J.; Hiptmair, Ralf
15
2014
Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz \(hp\)-dGFEM. Zbl 1295.31004
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria; Schwab, Christoph
15
2014
Mesh-independent operator preconditioning for boundary elements on open curves. Zbl 1310.65155
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Urzúa-Torres, Carolina
10
2014
Fast convolution quadrature based impedance boundary conditions. Zbl 1301.65106
Hiptmair, Ralf; López-Fernández, María; Paganini, Alberto
9
2014
Domain decomposition for boundary integral equations via local multi-trace formulations. Zbl 1382.65429
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Lee, Jin-Fa; Peng, Zhen
5
2014
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
35
2013
Multi-trace boundary integral formulation for acoustic scattering by composite structures. Zbl 1366.74030
Claeys, Xavier; Hiptmair, Ralf
24
2013
Multitrace boundary integral equations. Zbl 1291.78040
Claeys, Xavier; Hiptmair, Ralf; Jerez-Hanckes, Carlos
15
2013
Shape derivatives in differential forms. I: An intrinsic perspective. Zbl 1278.35056
Hiptmair, Ralf; Li, Jingzhi
11
2013
Integral equations on multi-screens. Zbl 1292.45001
Claeys, X.; Hiptmair, R.
9
2013
Convergence of lowest-order semi-Lagrangian schemes. Zbl 1273.65121
Heumann, Holger; Hiptmair, Ralf
4
2013
Stabilized Galerkin methods for magnetic advection. Zbl 1293.76088
Heumann, Holger; Hiptmair, Ralf
1
2013
Multiple traces boundary integral formulation for Helmholtz transmission problems. Zbl 1261.65123
Hiptmair, R.; Jerez-Hanckes, C.
31
2012
Convergence analysis of finite element methods for \(H\) (curl; \(\Omega \))-elliptic interface problems. Zbl 1268.78020
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
19
2012
Electromagnetic scattering at composite objects: a novel multi-trace boundary integral formulation. Zbl 1277.78032
Claeys, Xavier; Hiptmair, Ralf
16
2012
Convergence analysis with parameter estimates for a reduced basis acoustic scattering T-matrix method. Zbl 1275.65074
Ganesh, M.; Hawkins, S. C.; Hiptmair, R.
13
2012
Self-adjoint curl operators. Zbl 1275.47100
Hiptmair, Ralf; Kotiuga, Peter Robert; Tordeux, Sébastien
10
2012
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
8
2012
Universal extension for Sobolev spaces of differential forms and applications. Zbl 1302.46024
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
8
2012
Stable multilevel splittings of boundary edge element spaces. Zbl 1266.78033
Hiptmair, Ralf; Mao, Shipeng
7
2012
Real interpolation of spaces of differential forms. Zbl 1242.46026
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
3
2012
Fully discrete semi-Lagrangian methods for advection of differential forms. Zbl 1267.65130
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao
3
2012
Transient full Maxwell computation of slow processes. Zbl 1247.78041
Ostrowski, J.; Hiptmair, R.; Krämer, F.; Smajic, J.; Steinmetz, T.
1
2012
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the \(p\)-version. Zbl 1229.65215
Hiptmair, R.; Moiola, A.; Perugia, I.
87
2011
Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070
Moiola, A.; Hiptmair, R.; Perugia, I.
51
2011
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
22
2011
Vekua theory for the Helmholtz operator. Zbl 1266.35016
Moiola, A.; Hiptmair, R.; Perugia, I.
9
2011
Discrete compactness for the \(p\)-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
8
2011
Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms. Zbl 1211.65126
Heumann, Holger; Hiptmair, Ralf
5
2011
Convergence analysis of finite element methods for \(H(\mathrm{div};\Omega )\)-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
14
2010
Convergence of the natural \(hp\)-BEM for the electric field integral equation on polyhedral surfaces. Zbl 1223.65083
Bespalov, A.; Heuer, N.; Hiptmair, R.
12
2010
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
104
2009
Local multigrid in \(\boldsymbol{H} (\mathbf{curl})\). Zbl 1212.65486
Hiptmair, Ralf; Zheng, Weiying
12
2009
Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148
Hiptmair, Ralf; Perugia, Ilaria
5
2009
Sparse adaptive finite elements for radiative transfer. Zbl 1147.65095
Widmer, G.; Hiptmair, R.; Schwab, Ch.
21
2008
Stabilized FEM-BEM coupling for Maxwell transmission problems. Zbl 1144.78026
Hiptmair, R.; Meury, P.
5
2008
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
115
2007
Boundary element methods for eddy current computation. Zbl 1298.78032
Hiptmair, Ralf
5
2007
Operator preconditioning. Zbl 1125.65037
Hiptmair, R.
51
2006
Stabilized FEM-BEM coupling for Helmholtz transmission problems. Zbl 1221.65308
Hiptmair, R.; Meury, P.
16
2006
Auxiliary space preconditioning in \(H_0(\text{curl};\Omega)\). Zbl 1094.65118
Hiptmair, R.; Widmer, G.; Zou, J.
10
2006
Conservative discretization of the Einstein-Dirac equations in spherically symmetric spacetime. Zbl 1191.83007
Zeller, Benedikt; Hiptmair, Ralf
1
2006
Regularized combined field integral equations. Zbl 1067.65137
Buffa, A.; Hiptmair, R.
25
2005
A hybrid formulation of eddy current problems. Zbl 1079.78023
Alonso Rodrigez, Ana; Hiptmair, Ralf; Valli, Alberto
11
2005
Computation of resonant modes for axisymmetric Maxwell cavities using \(hp\)-version edge finite elements. Zbl 1121.78013
Hiptmair, R.; Ledger, P. D.
9
2005
Current and voltage excitations for the eddy current model. Zbl 1099.78021
Hiptmair, R.; Sterz, O.
9
2005
Coupled boundary-element scheme for eddy-current computation. Zbl 1066.78017
Hiptmair, Ralf; Ostrowski, Jörg
3
2005
Mixed finite element approximation of eddy current problems. Zbl 1114.78012
Alonso Rodríguez, Ana; Hiptmair, Ralf; Valli, Alberto
20
2004
A coercive combined field integral equation for electromagnetic scattering. Zbl 1082.78003
Buffa, A.; Hiptmair, R.
18
2004
Galerkin boundary element methods for electromagnetic scattering. Zbl 1055.78013
Buffa, Annalisa; Hiptmair, Ralf
51
2003
Boundary element methods for Maxwell transmission problems in Lipschitz domains. Zbl 1071.65160
Buffa, Annalisa; Hiptmair, Ralf; von Petersdorff, Tobias; Schwab, Christoph
51
2003
Coupling of finite elements and boundary elements in electromagnetic scattering. Zbl 1049.78021
Hiptmair, R.
22
2003
Analysis of multilevel methods for eddy current problems. Zbl 1018.78008
Hiptmair, R.
10
2003
Non-reflecting boundary conditions for Maxwell’s equations. Zbl 1042.78010
Hiptmair, R.; Schädle, A.
5
2003
Coercive combined field integral equations. Zbl 1115.76356
Hiptmair, R.
1
2003
Finite elements in computational electromagnetism. Zbl 1123.78320
Hiptmair, R.
347
2002
Symmetric coupling for eddy current problems. Zbl 1010.78011
Hiptmair, R.
35
2002
Natural boundary element methods for the electric field integral equation on polyhedra. Zbl 1010.78014
Hiptmair, Ralf; Schwab, Christoph
27
2002
Multilevel method for mixed eigenproblems. Zbl 1013.65120
Hiptmair, R.; Neymeyr, K.
10
2002
...and 18 more Documents
all top 5

Cited by 1,579 Authors

63 Hiptmair, Ralf
29 Li, Jichun
26 Perugia, Ilaria
23 Gatica, Gabriel N.
20 Claeys, Xavier
20 Zou, Jun
19 Jerez-Hanckes, Carlos
18 Hu, Qiya
18 Huang, Yunqing
17 Christiansen, Snorre Harald
17 Moiola, Andrea
16 Nicaise, Serge
16 Xu, Jinchao
15 Meddahi, Salim
15 Monk, Peter B.
14 Yang, Wei
13 Alonso Rodríguez, Ana
13 Hu, Kaibo
13 Yuan, Long
13 Zheng, Weiying
12 Chen, Long
12 Demkowicz, Leszek F.
12 Rodríguez, Rodolfo
12 Zhu, Shengfeng
11 Buffa, Annalisa
11 Chung, Tsz Shun Eric
11 Ganesh, Mahadevan
11 Hu, Xiaozhe
11 Mao, Shipeng
11 Schöberl, Joachim
11 Schöps, Sebastian
11 Schwab, Christoph
11 Shu, Shi
11 Yousept, Irwin
10 Marquez-Duran, Antonio M.
10 Oyarzúa, Ricardo
10 Sayas, Francisco-Javier
10 Spence, Euan A.
10 Zhang, Shuo
10 Zhong, Liuqiang
9 Betcke, Timo
9 Gander, Martin Jakob
9 Mascotto, Lorenzo
9 Rapetti, Francesca
9 Valli, Alberto
9 Zikatanov, Ludmil T.
8 Creusé, Emmanuel
8 Ding, Qianqian
8 Duan, Huoyuan
8 Harbrecht, Helmut
8 Hawkins, Stuart Collin
8 Hoppe, Ronald H. W.
8 Li, Jingzhi
8 Qiu, Weifeng
8 Schötzau, Dominik
8 Stephan, Ernst Peter
8 Vassilevski, Panayot Spirov
7 Campos Pinto, Martin
7 Führer, Thomas
7 Greif, Chen
7 He, Yinnian
7 Kang, Tong
7 Kolev, Tzanio V.
7 Ledger, Paul David
7 Melenk, Jens Markus
7 Tan, Roger C. E.
7 Weiland, Thomas
7 Winther, Ragnar
7 Wu, Haijun
6 Axelsson, Axel Owe Holger
6 Bermúdez, Alfredo
6 Chen, Jinru
6 Chen, Junqing
6 Dolean, Victorita
6 Heuer, Norbert
6 Kim, Kwang Ik
6 Kurz, Stefan
6 Lepe, Felipe
6 Li, Lingxiao
6 Li, Zhilin
6 Ma, Changfeng
6 Pardo, David
6 Sauter, Stefan A.
6 Sonnendrücker, Eric
6 Steinbach, Olaf
6 Xu, Liwei
6 Xu, Xuejun
5 Ainsworth, Mark
5 Barrios, Tomás P.
5 Beirão da Veiga, Lourenço
5 Boffi, Daniele
5 Brenner, Susanne Cecelia
5 Cai, Zhiqiang
5 Cao, Shuhao
5 Chaumont-Frelet, Théophile
5 Chen, Zhiming
5 Costabel, Martin
5 Cui, Jintao
5 Dapogny, Charles
5 De Gersem, Herbert
...and 1,479 more Authors
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Cited in 149 Serials

117 Journal of Computational Physics
78 Mathematics of Computation
75 Computer Methods in Applied Mechanics and Engineering
70 Computers & Mathematics with Applications
68 Journal of Computational and Applied Mathematics
65 SIAM Journal on Scientific Computing
64 Numerische Mathematik
63 Journal of Scientific Computing
41 SIAM Journal on Numerical Analysis
36 Applied Numerical Mathematics
32 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
24 Advances in Computational Mathematics
23 BIT
19 International Journal for Numerical Methods in Engineering
18 Numerical Linear Algebra with Applications
16 Applied Mathematics and Computation
16 Numerical Algorithms
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 COMPEL
13 Engineering Analysis with Boundary Elements
13 Computational Methods in Applied Mathematics
13 Communications in Computational Physics
12 Applicable Analysis
12 Journal of Mathematical Analysis and Applications
11 Integral Equations and Operator Theory
11 Foundations of Computational Mathematics
10 Numerical Methods for Partial Differential Equations
10 SIAM Journal on Applied Mathematics
10 SIAM/ASA Journal on Uncertainty Quantification
9 Mathematical Methods in the Applied Sciences
8 Computational Geosciences
8 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Journal of Numerical Mathematics
8 International Journal of Numerical Analysis and Modeling
7 Applied Mathematics Letters
6 Mathematics and Computers in Simulation
6 Computational Mechanics
6 International Journal of Computer Mathematics
6 SIAM Journal on Mathematical Analysis
6 Discrete and Continuous Dynamical Systems. Series S
6 SMAI Journal of Computational Mathematics
5 Communications on Pure and Applied Mathematics
5 Wave Motion
5 Calcolo
5 Applied Mathematical Modelling
5 Communications in Nonlinear Science and Numerical Simulation
5 Science China. Mathematics
4 Inverse Problems
4 Journal of Engineering Mathematics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Journal of Differential Equations
4 Journal of Optimization Theory and Applications
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Computational Optimization and Applications
4 ETNA. Electronic Transactions on Numerical Analysis
4 Multiscale Modeling & Simulation
4 Acta Numerica
4 SIAM Journal on Imaging Sciences
4 Advances in Applied Mathematics and Mechanics
3 Journal of Mathematical Physics
3 Journal of Geometry and Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Optimization
3 Computing
3 Journal of Functional Analysis
3 Constructive Approximation
3 Computational and Applied Mathematics
3 Journal of Inverse and Ill-Posed Problems
3 International Journal of Numerical Modelling
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Inverse Problems and Imaging
3 Kinetic and Related Models
3 Communications on Applied Mathematics and Computation
3 SN Partial Differential Equations and Applications
2 Mathematische Zeitschrift
2 Journal of Computational Mathematics
2 Mathematical and Computer Modelling
2 SIAM Journal on Matrix Analysis and Applications
2 Journal of Integral Equations and Applications
2 SIAM Journal on Optimization
2 Communications in Numerical Methods in Engineering
2 Journal of Mathematical Sciences (New York)
2 Archives of Computational Methods in Engineering
2 Journal of Computational Acoustics
2 Frontiers of Mathematics in China
2 Journal of Applied Mathematics & Informatics
2 Mathematical Control and Related Fields
2 S\(\vec{\text{e}}\)MA Journal
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 Results in Applied Mathematics
1 Discrete Applied Mathematics
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 Journal of the Mechanics and Physics of Solids
1 Nonlinearity
1 Nuclear Physics. B
1 Transport Theory and Statistical Physics
1 ACM Transactions on Mathematical Software
1 Automatica
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
...and 49 more Serials
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Cited in 49 Fields

1,072 Numerical analysis (65-XX)
601 Partial differential equations (35-XX)
465 Optics, electromagnetic theory (78-XX)
224 Fluid mechanics (76-XX)
115 Mechanics of deformable solids (74-XX)
75 Calculus of variations and optimal control; optimization (49-XX)
46 Global analysis, analysis on manifolds (58-XX)
43 Integral equations (45-XX)
26 Statistical mechanics, structure of matter (82-XX)
24 Approximations and expansions (41-XX)
23 Operator theory (47-XX)
20 Potential theory (31-XX)
20 Probability theory and stochastic processes (60-XX)
17 Functional analysis (46-XX)
15 Geophysics (86-XX)
14 Classical thermodynamics, heat transfer (80-XX)
14 Biology and other natural sciences (92-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Computer science (68-XX)
12 Differential geometry (53-XX)
10 Quantum theory (81-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Systems theory; control (93-XX)
8 Ordinary differential equations (34-XX)
8 Operations research, mathematical programming (90-XX)
6 Relativity and gravitational theory (83-XX)
6 Information and communication theory, circuits (94-XX)
5 History and biography (01-XX)
5 Statistics (62-XX)
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4 Convex and discrete geometry (52-XX)
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3 General and overarching topics; collections (00-XX)
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3 Mechanics of particles and systems (70-XX)
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2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Abstract harmonic analysis (43-XX)
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