## Hiptmair, Ralf

Compute Distance To:
 Author ID: hiptmair.ralf Published as: Hiptmair, Ralf; Hiptmair, R.
 Documents Indexed: 137 Publications since 1994, including 1 Book 6 Contributions as Editor · 1 Further Contribution Co-Authors: 86 Co-Authors with 124 Joint Publications 1,882 Co-Co-Authors
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### Co-Authors

 20 single-authored 14 Claeys, Xavier 12 Perugia, Ilaria 10 Hoppe, Ronald H. W. 10 Moiola, Andrea 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 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 Schulz, Erick 2 Widmer, Gerhard 2 Xu, Jinchao 1 Beck, Rudi 1 Bermúdez de Castro, 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 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 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 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
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### 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 Numerical Algorithms 2 SIAM Journal on Scientific Computing 2 ETNA. Electronic Transactions on Numerical Analysis 2 Foundations of Computational 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 Journal of Functional Analysis 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 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 Computational Methods in Applied Mathematics 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
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### Fields

 121 Numerical analysis (65-XX) 82 Partial differential equations (35-XX) 69 Optics, electromagnetic theory (78-XX) 21 Fluid mechanics (76-XX) 10 Integral equations (45-XX) 8 General and overarching topics; collections (00-XX) 7 Potential theory (31-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

113 Publications have been cited 2,055 times in 1,200 Documents Cited by Year
Finite elements in computational electromagnetism. Zbl 1123.78320
Hiptmair, R.
2002
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
2007
Multigrid method for Maxwell’s equations. Zbl 0922.65081
Hiptmair, R.
1998
Plane wave discontinuous Galerkin methods: Analysis of the $$h$$-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
2009
Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113
Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara
2000
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the $$p$$-version. Zbl 1229.65215
Hiptmair, R.; Moiola, A.; Perugia, I.
2011
Canonical construction of finite elements. Zbl 0938.65132
Hiptmair, R.
1999
Operator preconditioning. Zbl 1125.65037
Hiptmair, R.
2006
Galerkin boundary element methods for electromagnetic scattering. Zbl 1055.78013
Buffa, Annalisa; Hiptmair, Ralf
2003
Boundary element methods for Maxwell transmission problems in Lipschitz domains. Zbl 1071.65160
Buffa, Annalisa; Hiptmair, Ralf; von Petersdorff, Tobias; Schwab, Christoph
2003
Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070
Moiola, A.; Hiptmair, R.; Perugia, I.
2011
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
2015
Symmetric coupling for eddy current problems. Zbl 1010.78011
Hiptmair, R.
2002
Discrete Hodge operators. Zbl 0993.65130
Hiptmair, R.
2001
A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2016
A fully divergence-free finite element method for magnetohydrodynamic equations. Zbl 1393.65031
Hiptmair, Ralf; Li, Lingxiao; Mao, Shipeng; Zheng, Weiying
2018
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2013
Natural boundary element methods for the electric field integral equation on polyhedra. Zbl 1010.78014
Hiptmair, Ralf; Schwab, Christoph
2002
Multiple traces boundary integral formulation for Helmholtz transmission problems. Zbl 1261.65123
Hiptmair, R.; Jerez-Hanckes, C.
2012
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
1999
Regularized combined field integral equations. Zbl 1067.65137
Buffa, A.; Hiptmair, R.
2005
Multi-trace boundary integral formulation for acoustic scattering by composite structures. Zbl 1366.74030
Claeys, Xavier; Hiptmair, Ralf
2013
Multigrid method for $$H\text{(div)}$$ in three dimensions. Zbl 0897.65046
Hiptmair, R.
1997
Coupling of finite elements and boundary elements in electromagnetic scattering. Zbl 1049.78021
Hiptmair, R.
2003
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2011
Mixed finite element approximation of eddy current problems. Zbl 1114.78012
Alonso Rodríguez, Ana; Hiptmair, Ralf; Valli, Alberto
2004
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2014
Plane wave discontinuous Galerkin methods: exponential convergence of the $$hp$$-version. Zbl 1347.65176
Hiptmair, R.; Moiola, A.; Perugia, I.
2016
A coercive combined field integral equation for electromagnetic scattering. Zbl 1082.78003
Buffa, A.; Hiptmair, R.
2004
Widmer, G.; Hiptmair, R.; Schwab, Ch.
2008
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
2018
Overlapping and multilevel Schwarz methods for vector valued elliptic problems in three dimensions. Zbl 0961.65109
Hiptmair, Ralf; Toselli, Andrea
2000
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
2014
Dispersion analysis of plane wave discontinuous Galerkin methods. Zbl 1352.65503
Gittelson, Claude J.; Hiptmair, Ralf
2014
Whitney elements on pyramids. Zbl 0970.65120
1999
Stabilized FEM-BEM coupling for Helmholtz transmission problems. Zbl 1221.65308
Hiptmair, R.; Meury, P.
2006
Electromagnetic scattering at composite objects: a novel multi-trace boundary integral formulation. Zbl 1277.78032
Claeys, Xavier; Hiptmair, Ralf
2012
Multitrace boundary integral equations. Zbl 1291.78040
Claeys, Xavier; Hiptmair, Ralf; Jerez-Hanckes, Carlos
2013
Novel multitrace boundary integral equations for transmission boundary value problems. Zbl 1346.65066
Claeys, X.; Hiptmair, R.; Jerez-Hanckes, C.; Pintarelli, S.
2015
Analysis of tensor product multigrid. Zbl 0973.65118
Börm, S.; Hiptmair, R.
2001
Convergence analysis of finite element methods for $$H$$ (curl; $$\Omega$$)-elliptic interface problems. Zbl 1268.78020
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
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.
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.
2010
Convergence analysis of finite element methods for $$H(\mathrm{div};\Omega )$$-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
2010
Local multigrid in $$\boldsymbol{H} (\mathbf{curl})$$. Zbl 1212.65486
Hiptmair, Ralf; Zheng, Weiying
2009
Hierarchical error estimator for eddy current computation. Zbl 0970.78006
Beck, R.; Hiptmair, R.; Wohlmuth, B.
2000
Shape derivatives in differential forms. I: An intrinsic perspective. Zbl 1278.35056
Hiptmair, Ralf; Li, Jingzhi
2013
Multilevel method for mixed eigenproblems. Zbl 1013.65120
Hiptmair, R.; Neymeyr, K.
2002
Analysis of multilevel methods for eddy current problems. Zbl 1018.78008
Hiptmair, R.
2003
Hiptmair, Ralf; Kotiuga, Peter Robert; Tordeux, Sébastien
2012
A hybrid formulation of eddy current problems. Zbl 1079.78023
Alonso Rodrigez, Ana; Hiptmair, Ralf; Valli, Alberto
2005
Mesh-independent operator preconditioning for boundary elements on open curves. Zbl 1310.65155
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Urzúa-Torres, Carolina
2014
Fast convolution quadrature based impedance boundary conditions. Zbl 1301.65106
Hiptmair, Ralf; López-Fernández, María; Paganini, Alberto
2014
Computation of resonant modes for axisymmetric Maxwell cavities using $$hp$$-version edge finite elements. Zbl 1121.78013
Hiptmair, R.; Ledger, P. D.
2005
Current and voltage excitations for the eddy current model. Zbl 1099.78021
Hiptmair, R.; Sterz, O.
2005
Shape optimization by pursuing diffeomorphisms. Zbl 1321.49076
Hiptmair, Ralf; Paganini, Alberto
2015
Multilevel solution of the time-harmonic Maxwell’s equations based on edge elements. Zbl 0930.35167
Beck, Rudolf; Hiptmair, Ralf
1999
Multigrid computation of axisymmetric electromagnetic fields. Zbl 0998.65124
Börm, S.; Hiptmair, R.
2002
Generators of $$H_1(\Gamma_{h},\mathbb{Z})$$ for triangulated surfaces: Construction and classification. Zbl 1001.05046
Hiptmair, R.; Ostrowski, J.
2002
Auxiliary space preconditioning in $$H_0(\text{curl};\Omega)$$. Zbl 1094.65118
Hiptmair, R.; Widmer, G.; Zou, J.
2006
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
2012
Vekua theory for the Helmholtz operator. Zbl 1266.35016
Moiola, A.; Hiptmair, R.; Perugia, I.
2011
Universal extension for Sobolev spaces of differential forms and applications. Zbl 1302.46024
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
2012
Integral equations on multi-screens. Zbl 1292.45001
Claeys, X.; Hiptmair, R.
2013
Shape derivatives for scattering problems. Zbl 1421.35352
Hiptmair, Ralf; Li, Jingzhi
2018
Multilevel methods for mixed finite elements in three dimensions. Zbl 0929.65124
Hiptmair, Ralf; Hoppe, Ronald H. W.
1999
Closed-form inverses of the weakly singular and hypersingular operators on disks. Zbl 1390.45026
Hiptmair, R.; Jerez-Hanckes, C.; Urzúa-Torres, C.
2018
Stable multilevel splittings of boundary edge element spaces. Zbl 1266.78033
Hiptmair, Ralf; Mao, Shipeng
2012
A second-kind Galerkin boundary element method for scattering at composite objects. Zbl 1316.65105
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
2015
Hyperbolic cross approximation for the spatially homogeneous Boltzmann equation. Zbl 1330.76101
Fonn, E.; Grohs, P.; Hiptmair, R.
2015
Discrete compactness for the $$p$$-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
2011
Extension by zero in discrete trace spaces: inverse estimates. Zbl 1321.65179
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Mao, Shipeng
2015
Discrete regular decompositions of tetrahedral discrete 1-forms. Zbl 1445.78011
Hiptmair, Ralf; Pechstein, Clemens
2019
Domain decomposition for boundary integral equations via local multi-trace formulations. Zbl 1382.65429
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Lee, Jin-Fa; Peng, Zhen
2014
Non-reflecting boundary conditions for Maxwell’s equations. Zbl 1042.78010
Hiptmair, R.; Schädle, A.
2003
Stabilized FEM-BEM coupling for Maxwell transmission problems. Zbl 1144.78026
Hiptmair, R.; Meury, P.
2008
Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148
Hiptmair, Ralf; Perugia, Ilaria
2009
Second kind boundary integral equation for multi-subdomain diffusion problems. Zbl 1381.65094
Claeys, X.; Hiptmair, R.; Spindler, Elke
2017
Asymptotic boundary element methods for thin conducting sheets. Zbl 1302.78027
Schmidt, Kersten; Hiptmair, Ralf
2015
Convergence of lowest-order semi-Lagrangian schemes. Zbl 1273.65121
Heumann, Holger; Hiptmair, Ralf
2013
Tensor-product discretization for the spatially inhomogeneous and transient Boltzmann equation in two dimensions. Zbl 1416.82038
Grohs, Philipp; Hiptmair, Ralf; Pintarelli, Simon
2017
Second-kind boundary integral equations for electromagnetic scattering at composite objects. Zbl 1397.65307
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
2017
Multilevel preconditioned augmented Lagrangian techniques for $$2$$nd order mixed problems. Zbl 0904.65106
Hiptmair, R.; Schiekofer, T.; Wohlmuth, B.
1996
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
2016
Maxwell’s equations: continuous and discrete. Zbl 1331.78035
Hiptmair, Ralf
2015
First-kind boundary integral equations for the Hodge-Helmholtz operator. Zbl 1409.35062
Claeys, Xavier; Hiptmair, Ralf
2019
Boundary element methods for eddy current computation. Zbl 1298.78032
Hiptmair, Ralf
2007
Integral equations for electromagnetic scattering at multi-screens. Zbl 1337.78008
Claeys, X.; Hiptmair, R.
2016
Multilevel preconditioning for mixed problems in three dimensions. Zbl 0851.65089
Hiptmair, Ralf
1996
Real interpolation of spaces of differential forms. Zbl 1242.46026
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
2012
Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms. Zbl 1211.65126
Heumann, Holger; Hiptmair, Ralf
2011
Coupled boundary-element scheme for eddy-current computation. Zbl 1066.78017
Hiptmair, Ralf; Ostrowski, Jörg
2005
Fully discrete semi-Lagrangian methods for advection of differential forms. Zbl 1267.65130
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao
2012
Integral equations for acoustic scattering by partially impenetrable composite objects. Zbl 1315.65101
Claeys, X.; Hiptmair, R.
2015
Splitting-based structure preserving discretizations for magnetohydrodynamics. Zbl 1416.76343
Hiptmair, Ralf; Pagliantini, Cecilia
2018
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
2017
Multilevel gauging for edge elements. Zbl 0955.65087
Hiptmair, R.
2000
Numerical simulation of electrorheological fluids based on an extended Bingham model. Zbl 1094.76534
Engelmann, B.; Hiptmair, R.; Hoppe, R. H. W.; Mazurkevitch, G.
2000
Asymptotic expansion techniques for singularly perturbed boundary integral equations. Zbl 1378.65181
Schmidt, Kersten; Hiptmair, Ralf
2017
DG treatment of non-conforming interfaces in 3D curl-curl problems. Zbl 1383.78034
Casagrande, Raffael; Winkelmann, Christoph; Hiptmair, Ralf; Ostrowski, Joerg
2016
Frequency-stable full Maxwell in electro-quasistatic gauge. Zbl 1479.35853
Ostrowski, Jörg; Hiptmair, Ralf
2021
A review of regular decompositions of vector fields: continuous, discrete, and structure-preserving. Zbl 1484.65257
Hiptmair, Ralf; Pechstein, Clemens
2020
Compact equivalent inverse of the electric field integral operator on screens. Zbl 1446.45015
Hiptmair, R.; Urzúa-Torres, C.
2020
Coupling FEM with a multiple-subdomain Trefftz method. Zbl 1447.35130
Casati, Daniele; Hiptmair, Ralf
2020
First-kind Galerkin boundary element methods for the Hodge-Laplacian in three dimensions. Zbl 1446.31002
Claeys, Xavier; Hiptmair, Ralf
2020
Preconditioning the EFIE on screens. Zbl 1451.78044
Hiptmair, Ralf; Urzúa-Torres, Carolina
2020
Discrete regular decompositions of tetrahedral discrete 1-forms. Zbl 1445.78011
Hiptmair, Ralf; Pechstein, Clemens
2019
First-kind boundary integral equations for the Hodge-Helmholtz operator. Zbl 1409.35062
Claeys, Xavier; Hiptmair, Ralf
2019
Coupling finite elements and auxiliary sources. Zbl 1442.65349
Casati, Daniele; Hiptmair, R.
2019
A fully divergence-free finite element method for magnetohydrodynamic equations. Zbl 1393.65031
Hiptmair, Ralf; Li, Lingxiao; Mao, Shipeng; Zheng, Weiying
2018
Large deformation shape uncertainty quantification in acoustic scattering. Zbl 1402.35321
Hiptmair, R.; Scarabosio, L.; Schillings, C.; Schwab, Ch.
2018
Shape derivatives for scattering problems. Zbl 1421.35352
Hiptmair, Ralf; Li, Jingzhi
2018
Closed-form inverses of the weakly singular and hypersingular operators on disks. Zbl 1390.45026
Hiptmair, R.; Jerez-Hanckes, C.; Urzúa-Torres, C.
2018
Splitting-based structure preserving discretizations for magnetohydrodynamics. Zbl 1416.76343
Hiptmair, Ralf; Pagliantini, Cecilia
2018
Second kind boundary integral equation for multi-subdomain diffusion problems. Zbl 1381.65094
Claeys, X.; Hiptmair, R.; Spindler, Elke
2017
Tensor-product discretization for the spatially inhomogeneous and transient Boltzmann equation in two dimensions. Zbl 1416.82038
Grohs, Philipp; Hiptmair, Ralf; Pintarelli, Simon
2017
Second-kind boundary integral equations for electromagnetic scattering at composite objects. Zbl 1397.65307
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
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
2017
Asymptotic expansion techniques for singularly perturbed boundary integral equations. Zbl 1378.65181
Schmidt, Kersten; Hiptmair, Ralf
2017
A survey of Trefftz methods for the Helmholtz equation. Zbl 1357.65282
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2016
Plane wave discontinuous Galerkin methods: exponential convergence of the $$hp$$-version. Zbl 1347.65176
Hiptmair, R.; Moiola, A.; Perugia, I.
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
2016
Integral equations for electromagnetic scattering at multi-screens. Zbl 1337.78008
Claeys, X.; Hiptmair, R.
2016
DG treatment of non-conforming interfaces in 3D curl-curl problems. Zbl 1383.78034
Casagrande, Raffael; Winkelmann, Christoph; Hiptmair, Ralf; Ostrowski, Joerg
2016
Stabilized Galerkin for transient advection of differential forms. Zbl 1334.65148
Pagliantini, Cecilia; Hiptmair, Ralf; Heumann, Holger
2016
Comparison of approximate shape gradients. Zbl 1320.65099
Hiptmair, R.; Paganini, A.; Sargheini, S.
2015
Novel multitrace boundary integral equations for transmission boundary value problems. Zbl 1346.65066
Claeys, X.; Hiptmair, R.; Jerez-Hanckes, C.; Pintarelli, S.
2015
Shape optimization by pursuing diffeomorphisms. Zbl 1321.49076
Hiptmair, Ralf; Paganini, Alberto
2015
A second-kind Galerkin boundary element method for scattering at composite objects. Zbl 1316.65105
Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke
2015
Hyperbolic cross approximation for the spatially homogeneous Boltzmann equation. Zbl 1330.76101
Fonn, E.; Grohs, P.; Hiptmair, R.
2015
Extension by zero in discrete trace spaces: inverse estimates. Zbl 1321.65179
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Mao, Shipeng
2015
Asymptotic boundary element methods for thin conducting sheets. Zbl 1302.78027
Schmidt, Kersten; Hiptmair, Ralf
2015
Maxwell’s equations: continuous and discrete. Zbl 1331.78035
Hiptmair, Ralf
2015
Integral equations for acoustic scattering by partially impenetrable composite objects. Zbl 1315.65101
Claeys, X.; Hiptmair, R.
2015
Stabilized Galerkin for linear advection of vector fields. Zbl 1328.65240
Heumann, Holger; Hiptmair, Ralf
2015
Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes. Zbl 1288.65166
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
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
2014
Dispersion analysis of plane wave discontinuous Galerkin methods. Zbl 1352.65503
Gittelson, Claude J.; Hiptmair, Ralf
2014
Mesh-independent operator preconditioning for boundary elements on open curves. Zbl 1310.65155
Hiptmair, Ralf; Jerez-Hanckes, Carlos; Urzúa-Torres, Carolina
2014
Fast convolution quadrature based impedance boundary conditions. Zbl 1301.65106
Hiptmair, Ralf; López-Fernández, María; Paganini, Alberto
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
2014
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Zbl 1269.78013
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2013
Multi-trace boundary integral formulation for acoustic scattering by composite structures. Zbl 1366.74030
Claeys, Xavier; Hiptmair, Ralf
2013
Multitrace boundary integral equations. Zbl 1291.78040
Claeys, Xavier; Hiptmair, Ralf; Jerez-Hanckes, Carlos
2013
Shape derivatives in differential forms. I: An intrinsic perspective. Zbl 1278.35056
Hiptmair, Ralf; Li, Jingzhi
2013
Integral equations on multi-screens. Zbl 1292.45001
Claeys, X.; Hiptmair, R.
2013
Convergence of lowest-order semi-Lagrangian schemes. Zbl 1273.65121
Heumann, Holger; Hiptmair, Ralf
2013
Stabilized Galerkin methods for magnetic advection. Zbl 1293.76088
Heumann, Holger; Hiptmair, Ralf
2013
Multiple traces boundary integral formulation for Helmholtz transmission problems. Zbl 1261.65123
Hiptmair, R.; Jerez-Hanckes, C.
2012
Electromagnetic scattering at composite objects: a novel multi-trace boundary integral formulation. Zbl 1277.78032
Claeys, Xavier; Hiptmair, Ralf
2012
Convergence analysis of finite element methods for $$H$$ (curl; $$\Omega$$)-elliptic interface problems. Zbl 1268.78020
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
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.
2012
Hiptmair, Ralf; Kotiuga, Peter Robert; Tordeux, Sébastien
2012
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
2012
Universal extension for Sobolev spaces of differential forms and applications. Zbl 1302.46024
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
2012
Stable multilevel splittings of boundary edge element spaces. Zbl 1266.78033
Hiptmair, Ralf; Mao, Shipeng
2012
Real interpolation of spaces of differential forms. Zbl 1242.46026
Hiptmair, Ralf; Li, Jingzhi; Zou, Jun
2012
Fully discrete semi-Lagrangian methods for advection of differential forms. Zbl 1267.65130
Heumann, Holger; Hiptmair, Ralf; Li, Kun; Xu, Jinchao
2012
Transient full Maxwell computation of slow processes. Zbl 1247.78041
Ostrowski, J.; Hiptmair, R.; Krämer, F.; Smajic, J.; Steinmetz, T.
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.
2011
Plane wave approximation of homogeneous Helmholtz solutions. Zbl 1263.35070
Moiola, A.; Hiptmair, R.; Perugia, I.
2011
Stability results for the time-harmonic Maxwell equations with impedance boundary conditions. Zbl 1331.35335
Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
2011
Vekua theory for the Helmholtz operator. Zbl 1266.35016
Moiola, A.; Hiptmair, R.; Perugia, I.
2011
Discrete compactness for the $$p$$-version of discrete differential forms. Zbl 1230.78025
Boffi, Daniele; Costabel, Martin; Dauge, Monique; Demkowicz, Leszek; Hiptmair, Ralf
2011
Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms. Zbl 1211.65126
Heumann, Holger; Hiptmair, Ralf
2011
Convergence of the natural $$hp$$-BEM for the electric field integral equation on polyhedral surfaces. Zbl 1223.65083
Bespalov, A.; Heuer, N.; Hiptmair, R.
2010
Convergence analysis of finite element methods for $$H(\mathrm{div};\Omega )$$-elliptic interface problems. Zbl 1203.65227
Hiptmair, R.; Li, J.; Zou, J.
2010
Plane wave discontinuous Galerkin methods: Analysis of the $$h$$-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
2009
Local multigrid in $$\boldsymbol{H} (\mathbf{curl})$$. Zbl 1212.65486
Hiptmair, Ralf; Zheng, Weiying
2009
Mixed plane wave discontinuous Galerkin methods. Zbl 1180.65148
Hiptmair, Ralf; Perugia, Ilaria
2009
Widmer, G.; Hiptmair, R.; Schwab, Ch.
2008
Stabilized FEM-BEM coupling for Maxwell transmission problems. Zbl 1144.78026
Hiptmair, R.; Meury, P.
2008
Nodal auxiliary space preconditioning in H(curl) and H(div) spaces. Zbl 1153.78006
Hiptmair, Ralf; Xu, Jinchao
2007
Boundary element methods for eddy current computation. Zbl 1298.78032
Hiptmair, Ralf
2007
Operator preconditioning. Zbl 1125.65037
Hiptmair, R.
2006
Stabilized FEM-BEM coupling for Helmholtz transmission problems. Zbl 1221.65308
Hiptmair, R.; Meury, P.
2006
Auxiliary space preconditioning in $$H_0(\text{curl};\Omega)$$. Zbl 1094.65118
Hiptmair, R.; Widmer, G.; Zou, J.
2006
Conservative discretization of the Einstein-Dirac equations in spherically symmetric spacetime. Zbl 1191.83007
Zeller, Benedikt; Hiptmair, Ralf
2006
Regularized combined field integral equations. Zbl 1067.65137
Buffa, A.; Hiptmair, R.
2005
A hybrid formulation of eddy current problems. Zbl 1079.78023
Alonso Rodrigez, Ana; Hiptmair, Ralf; Valli, Alberto
2005
Computation of resonant modes for axisymmetric Maxwell cavities using $$hp$$-version edge finite elements. Zbl 1121.78013
Hiptmair, R.; Ledger, P. D.
2005
Current and voltage excitations for the eddy current model. Zbl 1099.78021
Hiptmair, R.; Sterz, O.
2005
Coupled boundary-element scheme for eddy-current computation. Zbl 1066.78017
Hiptmair, Ralf; Ostrowski, Jörg
2005
Mixed finite element approximation of eddy current problems. Zbl 1114.78012
Alonso Rodríguez, Ana; Hiptmair, Ralf; Valli, Alberto
2004
A coercive combined field integral equation for electromagnetic scattering. Zbl 1082.78003
Buffa, A.; Hiptmair, R.
2004
Galerkin boundary element methods for electromagnetic scattering. Zbl 1055.78013
Buffa, Annalisa; Hiptmair, Ralf
2003
Boundary element methods for Maxwell transmission problems in Lipschitz domains. Zbl 1071.65160
Buffa, Annalisa; Hiptmair, Ralf; von Petersdorff, Tobias; Schwab, Christoph
2003
Coupling of finite elements and boundary elements in electromagnetic scattering. Zbl 1049.78021
Hiptmair, R.
2003
Analysis of multilevel methods for eddy current problems. Zbl 1018.78008
Hiptmair, R.
2003
Non-reflecting boundary conditions for Maxwell’s equations. Zbl 1042.78010
Hiptmair, R.; Schädle, A.
2003
Coercive combined field integral equations. Zbl 1115.76356
Hiptmair, R.
2003
Finite elements in computational electromagnetism. Zbl 1123.78320
Hiptmair, R.
2002
Symmetric coupling for eddy current problems. Zbl 1010.78011
Hiptmair, R.
2002
Natural boundary element methods for the electric field integral equation on polyhedra. Zbl 1010.78014
Hiptmair, Ralf; Schwab, Christoph
2002
Multilevel method for mixed eigenproblems. Zbl 1013.65120
Hiptmair, R.; Neymeyr, K.
2002
Multigrid computation of axisymmetric electromagnetic fields. Zbl 0998.65124
Börm, S.; Hiptmair, R.
2002
Generators of $$H_1(\Gamma_{h},\mathbb{Z})$$ for triangulated surfaces: Construction and classification. Zbl 1001.05046
Hiptmair, R.; Ostrowski, J.
2002
Discrete Hodge operators. Zbl 0993.65130
Hiptmair, R.
2001
Analysis of tensor product multigrid. Zbl 0973.65118
Börm, S.; Hiptmair, R.
2001
Residual based a posteriori error estimators for eddy current computation. Zbl 0949.65113
Beck, Rudi; Hiptmair, Ralf; Hoppe, Ronald H. W.; Wohlmuth, Barbara
2000
...and 13 more Documents
all top 5

### Cited by 1,473 Authors

 60 Hiptmair, Ralf 28 Li, Jichun 25 Perugia, Ilaria 22 Gatica, Gabriel N. 19 Claeys, Xavier 19 Zou, Jun 18 Hu, Qiya 18 Jerez-Hanckes, Carlos 17 Christiansen, Snorre Harald 17 Huang, Yunqing 16 Nicaise, Serge 16 Xu, Jinchao 15 Moiola, Andrea 15 Monk, Peter B. 14 Meddahi, Salim 13 Yang, Wei 12 Demkowicz, Leszek F. 12 Hu, Kaibo 12 Rodríguez, Rodolfo 12 Yuan, Long 11 Alonso Rodríguez, Ana 11 Buffa, Annalisa 11 Chen, Long 11 Ganesh, Mahadevan 11 Hu, Xiaozhe 11 Schöberl, Joachim 11 Schöps, Sebastian 11 Shu, Shi 11 Zheng, Weiying 10 Marquez-Duran, Antonio M. 10 Schwab, Christoph 10 Yousept, Irwin 10 Zhong, Liuqiang 9 Chung, Tsz Shun Eric 9 Gander, Martin Jakob 9 Mao, Shipeng 9 Oyarzúa, Ricardo 9 Sayas, Francisco-Javier 9 Valli, Alberto 9 Zhang, Shuo 9 Zikatanov, Ludmil T. 8 Betcke, Timo 8 Creusé, Emmanuel 8 Duan, Huoyuan 8 Hawkins, Stuart Collin 8 Hoppe, Ronald H. W. 8 Mascotto, Lorenzo 8 Schötzau, Dominik 8 Spence, Euan A. 8 Stephan, Ernst Peter 8 Vassilevski, Panayot Spirov 8 Zhu, Shengfeng 7 Campos Pinto, Martin 7 Führer, Thomas 7 Greif, Chen 7 Kang, Tong 7 Ledger, Paul David 7 Li, Jingzhi 7 Qiu, Weifeng 7 Rapetti, Francesca 7 Tan, Roger C. E. 7 Winther, Ragnar 6 Bermúdez, Alfredo 6 Chen, Junqing 6 Dolean, Victorita 6 Harbrecht, Helmut 6 He, Yinnian 6 Kim, Kwang Ik 6 Kolev, Tzanio V. 6 Kurz, Stefan 6 Li, Zhilin 6 Ma, Changfeng 6 Pardo, David 6 Sauter, Stefan A. 6 Sonnendrücker, Eric 6 Steinbach, Olaf 6 Weiland, Thomas 6 Wu, Haijun 6 Xu, Liwei 6 Xu, Xuejun 5 Ainsworth, Mark 5 Axelsson, Axel Owe Holger 5 Beirão da Veiga, Lourenço 5 Boffi, Daniele 5 Brenner, Susanne Cecelia 5 Cai, Zhiqiang 5 Chen, Zhiming 5 Costabel, Martin 5 Cui, Jintao 5 Dapogny, Charles 5 Desbrun, Mathieu 5 Ding, Qianqian 5 Dölz, Jürgen 5 Egger, Herbert 5 Gastaldi, Lucia 5 Gopalakrishnan, Jayadeep 5 Graham, Ivan G. 5 Heuer, Norbert 5 Laurain, Antoine 5 Lee, Jin-Fa ...and 1,373 more Authors
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### Cited in 147 Serials

 102 Journal of Computational Physics 72 Mathematics of Computation 71 Computer Methods in Applied Mechanics and Engineering 65 Journal of Computational and Applied Mathematics 62 Numerische Mathematik 61 Computers & Mathematics with Applications 60 Journal of Scientific Computing 58 SIAM Journal on Scientific Computing 36 SIAM Journal on Numerical Analysis 35 Applied Numerical Mathematics 31 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 21 BIT 20 Advances in Computational Mathematics 19 International Journal for Numerical Methods in Engineering 18 Numerical Linear Algebra with Applications 16 Applied Mathematics and Computation 15 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Numerical Algorithms 13 COMPEL 13 Engineering Analysis with Boundary Elements 12 Applicable Analysis 11 Journal of Mathematical Analysis and Applications 11 Foundations of Computational Mathematics 11 Communications in Computational Physics 10 Integral Equations and Operator Theory 10 Numerical Methods for Partial Differential Equations 9 Mathematical Methods in the Applied Sciences 9 Computational Methods in Applied Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 SIAM/ASA Journal on Uncertainty Quantification 7 Applied Mathematics Letters 7 SIAM Journal on Applied Mathematics 7 Computational Geosciences 7 Journal of Numerical Mathematics 6 Mathematics and Computers in Simulation 6 Computational Mechanics 6 International Journal of Computer Mathematics 6 SIAM Journal on Mathematical Analysis 6 International Journal of Numerical Analysis and Modeling 6 Discrete and Continuous Dynamical Systems. Series S 5 Communications on Pure and Applied Mathematics 5 Wave Motion 5 Science China. Mathematics 5 SMAI Journal of Computational Mathematics 4 Inverse Problems 4 Journal of Engineering Mathematics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Calcolo 4 Journal of Differential Equations 4 Journal of Optimization Theory and Applications 4 Applied Mathematical Modelling 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 3 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Computing 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 SIAM Journal on Imaging Sciences 3 Kinetic and Related Models 3 Advances in Applied Mathematics and Mechanics 3 Communications on Applied Mathematics and Computation 3 SN Partial Differential Equations and Applications 2 Applied Mathematics and Optimization 2 Journal of Functional Analysis 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 Communications in Nonlinear Science and Numerical Simulation 2 Archives of Computational Methods in Engineering 2 Acta Numerica 2 Journal of Computational Acoustics 2 Frontiers of Mathematics in China 2 Mathematical Control and Related Fields 2 S$$\vec{\text{e}}$$MA Journal 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 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Advances in Applied Mathematics ...and 47 more Serials
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### Cited in 49 Fields

 983 Numerical analysis (65-XX) 527 Partial differential equations (35-XX) 439 Optics, electromagnetic theory (78-XX) 197 Fluid mechanics (76-XX) 107 Mechanics of deformable solids (74-XX) 68 Calculus of variations and optimal control; optimization (49-XX) 41 Global analysis, analysis on manifolds (58-XX) 37 Integral equations (45-XX) 22 Approximations and expansions (41-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Operator theory (47-XX) 19 Potential theory (31-XX) 18 Probability theory and stochastic processes (60-XX) 16 Functional analysis (46-XX) 14 Classical thermodynamics, heat transfer (80-XX) 14 Geophysics (86-XX) 14 Biology and other natural sciences (92-XX) 12 Differential geometry (53-XX) 12 Computer science (68-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 10 Quantum theory (81-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Operations research, mathematical programming (90-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 6 Relativity and gravitational theory (83-XX) 5 Statistics (62-XX) 5 Information and communication theory, circuits (94-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Algebraic topology (55-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 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) 1 Geometry (51-XX)