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Ralf Hiptmair
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- affiliation: ETH Zurich, Switzerland
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2020 – today
- 2024
- [j57]Wouter Tonnon, Ralf Hiptmair:
Semi-Lagrangian finite element exterior calculus for incompressible flows. Adv. Comput. Math. 50(1): 11 (2024) - [j56]Ignacio Labarca, Ralf Hiptmair:
Volume Integral Equations and Single-Trace Formulations for Acoustic Wave Scattering in an Inhomogeneous Medium. Comput. Methods Appl. Math. 24(1): 119-140 (2024) - [j55]Francesco Florian, Ralf Hiptmair, Stefan A. Sauter:
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients. SIAM J. Math. Anal. 56(5): 6232-6267 (2024) - [i10]Ignacio Labarca-Figueroa, Ralf Hiptmair:
Coupled Boundary and Volume Integral Equations for Electromagnetic Scattering. CoRR abs/2403.17731 (2024) - [i9]Wietse M. Boon, Ralf Hiptmair, Wouter Tonnon, Enrico Zampa:
H(curl)-based approximation of the Stokes problem with slip boundary conditions. CoRR abs/2407.13353 (2024) - [i8]Ralf Hiptmair, Christoph Schwab, Euan A. Spence:
Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering. CoRR abs/2408.01194 (2024) - [i7]Jörg Nick, Ralf Hiptmair, Habib Ammari:
Wave scattering with time-periodic coefficients: Energy estimates and harmonic formulations. CoRR abs/2410.10297 (2024) - 2023
- [j54]Piyush Panchal, Ning Ren, Ralf Hiptmair:
Force Computation for Dielectrics Using Shape Calculus. Comput. Methods Appl. Math. 23(2): 425-444 (2023) - [j53]Luka Grubisic, Ralf Hiptmair, Diego Renner:
Detecting Near Resonances in Acoustic Scattering. J. Sci. Comput. 96(3): 81 (2023) - [i6]Wouter Tonnon, Ralf Hiptmair:
Semi-Lagrangian Finite-Element Exterior Calculus for Incompressible Flows. CoRR abs/2301.04923 (2023) - [i5]Francesco Florian, Ralf Hiptmair, Stefan A. Sauter:
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients. CoRR abs/2305.00959 (2023) - [i4]Martin Averseng, Xavier Claeys, Ralf Hiptmair:
Boundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: a two-level Substructuring Preconditioner. CoRR abs/2310.09204 (2023) - 2022
- [j52]Erick Schulz, Ralf Hiptmair:
Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics. Comput. Methods Appl. Math. 22(4): 971-985 (2022) - [j51]Ralf Hiptmair, Andrea Moiola, Euan A. Spence:
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem. SIAM J. Appl. Math. 82(4): 1446-1469 (2022) - [j50]Erick Schulz, Ralf Hiptmair:
First-Kind Boundary Integral Equations for the Dirac Operator in 3-Dimensional Lipschitz Domains. SIAM J. Math. Anal. 54(1): 616-648 (2022) - [i3]Martin Averseng, Xavier Claeys, Ralf Hiptmair:
Fractured Meshes. CoRR abs/2212.14222 (2022) - 2021
- [j49]Sarah Eberle, Francesco Florian, Ralf Hiptmair, Stefan A. Sauter:
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions. SIAM J. Math. Anal. 53(2): 1492-1508 (2021) - [j48]Jörg Ostrowski, Ralf Hiptmair:
Frequency-Stable Full Maxwell in Electro-quasistatic Gauge. SIAM J. Sci. Comput. 43(4): B1008-B1028 (2021) - [i2]Ralf Hiptmair, Andrea Moiola, Euan A. Spence:
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem. CoRR abs/2109.08530 (2021) - 2020
- [j47]Daniele Casati, Ralf Hiptmair:
Coupling FEM with a Multiple-Subdomain Trefftz Method. J. Sci. Comput. 82(3): 74 (2020) - [j46]Ralf Hiptmair, Carlos Jerez-Hanckes, Carolina Urzúa-Torres:
Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens. SIAM J. Numer. Anal. 58(1): 834-857 (2020)
2010 – 2019
- 2019
- [j45]Daniele Casati, Ralf Hiptmair:
Coupling finite elements and auxiliary sources. Comput. Math. Appl. 77(6): 1513-1526 (2019) - [j44]Xavier Claeys, Ralf Hiptmair:
First-Kind Boundary Integral Equations for the Hodge-Helmholtz Operator. SIAM J. Math. Anal. 51(1): 197-227 (2019) - [c3]Taha Sabri Koltukluoglu, Gregor Cvijetic, Ralf Hiptmair:
Harmonic Balance Techniques in Cardiovascular Fluid Mechanics. MICCAI (2) 2019: 486-494 - [i1]Sarah Eberle, Francesco Florian, Ralf Hiptmair, Stefan A. Sauter:
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions. CoRR abs/1907.01738 (2019) - 2018
- [j43]Ralf Hiptmair, Laura Scarabosio, Claudia Schillings, Christoph Schwab:
Large deformation shape uncertainty quantification in acoustic scattering. Adv. Comput. Math. 44(5): 1475-1518 (2018) - 2017
- [j42]Xavier Claeys, Ralf Hiptmair, Elke Spindler:
Second kind boundary integral equation for multi-subdomain diffusion problems. Adv. Comput. Math. 43(5): 1075-1101 (2017) - [j41]Xavier Claeys, Ralf Hiptmair, Elke Spindler:
Second-kind boundary integral equations for electromagnetic scattering at composite objects. Comput. Math. Appl. 74(11): 2650-2670 (2017) - [j40]Kersten Schmidt, Ralf Hiptmair:
Asymptotic expansion techniques for singularly perturbed boundary integral equations. Numerische Mathematik 137(2): 397-415 (2017) - 2016
- [j39]Ralf Hiptmair, Andrea Moiola, Ilaria Perugia:
Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version. Found. Comput. Math. 16(3): 637-675 (2016) - 2015
- [j38]Ralf Hiptmair, Alberto Paganini:
Shape Optimization by Pursuing Diffeomorphisms. Comput. Methods Appl. Math. 15(3): 291-305 (2015) - [j37]Ralf Hiptmair, Carlos Jerez-Hanckes, Shipeng Mao:
Extension by zero in discrete trace spaces: Inverse estimates. Math. Comput. 84(296): 2589-2615 (2015) - [c2]Alberto Paganini, Ralf Hiptmair:
Approximate Riesz Representatives of Shape Gradients. System Modelling and Optimization 2015: 399-409 - 2014
- [j36]Ralf Hiptmair, María López-Fernández, Alberto Paganini:
Fast convolution quadrature based impedance boundary conditions. J. Comput. Appl. Math. 263: 500-517 (2014) - [j35]Ralf Hiptmair, Carlos Jerez-Hanckes, Carolina Urzúa-Torres:
Mesh-Independent Operator Preconditioning for Boundary Elements on Open Curves. SIAM J. Numer. Anal. 52(5): 2295-2314 (2014) - 2013
- [j34]Holger Heumann, Ralf Hiptmair:
Convergence of Lowest Order Semi-Lagrangian Schemes. Found. Comput. Math. 13(2): 187-220 (2013) - [j33]Ralf Hiptmair, Andrea Moiola, Ilaria Perugia:
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. Math. Comput. 82(281): 247-268 (2013) - [j32]Ralf Hiptmair, G. Phillips, G. Sinha:
Multiple point evaluation on combined tensor product supports. Numer. Algorithms 63(2): 317-337 (2013) - [c1]Holger Heumann, Ralf Hiptmair:
Stabilized Galerkin for Linear Advection of Vector Fields. ENUMATH 2013: 37-45 - 2012
- [j31]Ralf Hiptmair, Carlos Jerez-Hanckes:
Multiple traces boundary integral formulation for Helmholtz transmission problems. Adv. Comput. Math. 37(1): 39-91 (2012) - [j30]Ralf Hiptmair, Jingzhi Li, Jun Zou:
Convergence analysis of finite element methods for H(curl; Ω)-elliptic interface problems. Numerische Mathematik 122(3): 557-578 (2012) - 2011
- [j29]Daniele Boffi, Martin Costabel, Monique Dauge, Leszek F. Demkowicz, Ralf Hiptmair:
Discrete Compactness for the p-Version of Discrete Differential Forms. SIAM J. Numer. Anal. 49(1): 135-158 (2011) - [j28]Ralf Hiptmair, Andrea Moiola, Ilaria Perugia:
Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version. SIAM J. Numer. Anal. 49(1): 264-284 (2011) - 2010
- [j27]Ralf Hiptmair, J. Li, Jun Zou:
Convergence analysis of finite element methods for H(div;Ω)-elliptic interface problems. J. Num. Math. 18(3): 187-218 (2010) - [j26]Alexei Bespalov, Norbert Heuer, Ralf Hiptmair:
Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces. SIAM J. Numer. Anal. 48(4): 1518-1529 (2010)
2000 – 2009
- 2008
- [j25]Gisela Widmer, Ralf Hiptmair, Christoph Schwab:
Sparse adaptive finite elements for radiative transfer. J. Comput. Phys. 227(12): 6071-6105 (2008) - 2007
- [j24]Ralf Hiptmair, Jinchao Xu:
Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces. SIAM J. Numer. Anal. 45(6): 2483-2509 (2007) - 2006
- [j23]Ralf Hiptmair:
Operator Preconditioning. Comput. Math. Appl. 52(5): 699-706 (2006) - [j22]Ralf Hiptmair, Gisela Widmer, Jun Zou:
Auxiliary space preconditioning in H0(curl; Ω). Numerische Mathematik 103(3): 435-459 (2006) - [j21]Ralf Hiptmair, P. Meury:
Stabilized FEM-BEM Coupling for Helmholtz Transmission Problems. SIAM J. Numer. Anal. 44(5): 2107-2130 (2006) - 2005
- [j20]Annalisa Buffa, Ralf Hiptmair:
Regularized Combined Field Integral Equations. Numerische Mathematik 100(1): 1-19 (2005) - 2004
- [j19]Annalisa Buffa, Ralf Hiptmair:
A Coercive Combined Field Integral Equation for Electromagnetic Scattering. SIAM J. Numer. Anal. 42(2): 621-640 (2004) - 2003
- [j18]Vasile Gradinaru, Ralf Hiptmair:
Multigrid for Discrete Differential Forms on Sparse Grids. Computing 71(1): 17-42 (2003) - [j17]Ralf Hiptmair, Achim Schädle:
Non-Reflecting Boundary Conditions for Maxwell's Equations. Computing 71(3): 265-292 (2003) - [j16]Ralf Hiptmair:
Coercive combined field integral equations. J. Num. Math. 11(2): 115-134 (2003) - [j15]Ralf Hiptmair:
Analysis of multilevel methods for eddy current problems. Math. Comput. 72(243): 1281-1303 (2003) - [j14]Vasile Gradinaru, Ralf Hiptmair:
Mixed finite elements on sparse grids. Numerische Mathematik 93(3): 471-495 (2003) - [j13]Annalisa Buffa, Ralf Hiptmair, Tobias von Petersdorff, Christoph Schwab:
Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains. Numerische Mathematik 95(3): 459-485 (2003) - [j12]Ralf Hiptmair:
Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering. SIAM J. Numer. Anal. 41(3): 919-944 (2003) - 2002
- [j11]Steffen Börm, Ralf Hiptmair:
Multigrid Computation of Axisymmetric Electromagnetic Fields. Adv. Comput. Math. 16(4): 331-356 (2002) - [j10]Ralf Hiptmair, Jörg Ostrowski:
Generators of $H_1(\Gamma_{h}, \mathbbZ)$ for Triangulated Surfaces: Construction and Classification. SIAM J. Comput. 31(5): 1405-1423 (2002) - [j9]Ralf Hiptmair:
Symmetric Coupling for Eddy Current Problems. SIAM J. Numer. Anal. 40(1): 41-65 (2002) - [j8]Ralf Hiptmair, Christoph Schwab:
Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra. SIAM J. Numer. Anal. 40(1): 66-86 (2002) - [j7]Ralf Hiptmair, Klaus Neymeyr:
Multilevel Method for Mixed Eigenproblems. SIAM J. Sci. Comput. 23(6): 2141-2164 (2002) - 2001
- [j6]Steffen Börm, Ralf Hiptmair:
Analysis of tensor product multigrid. Numer. Algorithms 26(3): 219-234 (2001) - [j5]Ralf Hiptmair:
Discrete Hodge operators. Numerische Mathematik 90(2): 265-289 (2001) - 2000
- [j4]Ralf Hiptmair:
Multilevel Gauging for Edge Elements. Computing 64(2): 97-122 (2000)
1990 – 1999
- 1999
- [j3]Ralf Hiptmair:
Canonical construction of finite elements. Math. Comput. 68(228): 1325-1346 (1999) - [j2]Ralf Hiptmair, Ronald H. W. Hoppe:
Multilevel methods for mixed finite elements in three dimensions. Numerische Mathematik 82(2): 253-279 (1999) - 1996
- [j1]Ralf Hiptmair, Thomas Schiekofer, Barbara I. Wohlmuth:
Multilevel Preconditioned Augmented Lagrangian Techniques for 2ndMixed Problems. Computing 57(1): 25-48 (1996)
Coauthor Index
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