Ralf Hiptmair

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All published works

Action	Title	Year	Authors
+	Coupled boundary and volume integral equations for electromagnetic scattering	2024	Ignacio Labarca-Figueroa Ralf Hiptmair
+ PDF Chat	Wave scattering with time-periodic coefficients: Energy estimates and harmonic formulations	2024	Jörg Nick Ralf Hiptmair Habib Ammari
+ PDF Chat	Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients	2024	Francesco Florian Ralf Hiptmair Stefan Sauter
+ PDF Chat	Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering	2024	Ralf Hiptmair Christoph Schwab Euan A. Spence
+ PDF Chat	H(curl)-based approximation of the Stokes problem with slip boundary conditions	2024	Wietse M. Boon Ralf Hiptmair Wouter Tonnon Enrico Zampa
+ PDF Chat	Holding the fields constant: A shape-calculus approach to electromagnetic forces	2024	Piyush Panchal Ralf Hiptmair Stefan Kurz
+ PDF Chat	Coupled Boundary and Volume Integral Equations for Electromagnetic Scattering	2024	Ignacio Labarca-Figueroa Ralf Hiptmair
+	Detecting Near Resonances in Acoustic Scattering	2023	Luka Grubišić Ralf Hiptmair Diego Renner
+	Volume Integral Equations and Single-Trace Formulations for Acoustic Wave Scattering in an Inhomogeneous Medium	2023	Ignacio Labarca Ralf Hiptmair
+ PDF Chat	The skeleton equation method for acoustic transmission problems with varying coefficients	2023	Francesco Florian Ralf Hiptmair Stefan Sauter
+	Traces for Hilbert complexes	2023	Ralf Hiptmair Dirk Pauly Erick Schulz
+	Semi-Lagrangian Finite-Element Exterior Calculus for Incompressible Flows	2023	Wouter Tonnon Ralf Hiptmair
+	Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients	2023	Francesco Florian Ralf Hiptmair Stefan Sauter
+	Boundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: a two-level Substructuring Preconditioner	2023	Martin Averseng Xavier Claeys Ralf Hiptmair
+ PDF Chat	Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem	2022	Ralf Hiptmair Andrea Moiola Euan A. Spence
+ PDF Chat	Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics	2022	Erick Schulz Ralf Hiptmair
+ PDF Chat	Coupled Domain-Boundary Variational Formulations for Hodge–Helmholtz Operators	2022	Erick Schulz Ralf Hiptmair
+ PDF Chat	First-Kind Boundary Integral Equations for the Dirac Operator in 3-Dimensional Lipschitz Domains	2022	Erick Schulz Ralf Hiptmair
+ PDF Chat	Enhancing the Quantum Linear Systems Algorithm Using Richardson Extrapolation	2022	Almudena Carrera Vazquez Ralf Hiptmair Stefan Woerner
+	Traces for Hilbert Complexes	2022	Ralf Hiptmair Dirk Pauly Erick Schulz
+	Fractured Meshes	2022	Martin Averseng Xavier Claeys Ralf Hiptmair
+ PDF Chat	Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem	2021	Ralf Hiptmair Andrea Moiola Euan A. Spence
+	Adaptive Approximation of Shapes	2021	Annalisa Buffa Ralf Hiptmair Piyush Panchal
+ PDF Chat	A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions	2021	Sarah Eberle Francesco Florian Ralf Hiptmair Stefan Sauter
+	First-Kind Boundary Integral Equations for the Dirac Operator in 3D Lipschitz Domains	2020	Erick Schulz Ralf Hiptmair
+	Coupled Domain-Boundary Variational Formulations For Hodge-Helmholtz Operators	2020	Erick Schulz Ralf Hiptmair
+ PDF Chat	Compact Equivalent Inverse of the Electric Field Integral Operator on Screens	2020	Ralf Hiptmair Carolina Urzúa–Torres
+	Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics	2020	Erick Schulz Ralf Hiptmair
+ PDF Chat	Elastic energy regularization for inverse obstacle scattering problems	2019	J Eckhardt Ralf Hiptmair Thorsten Hohage H. Ralph Schumacher Max Wardetzky
+ PDF Chat	First-Kind Boundary Integral Equations for the Hodge-Helmholtz Operator	2019	Xavier Claeys Ralf Hiptmair
+ PDF Chat	First-Kind Boundary Integral Equations for the Hodge--Helmholtz Operator	2019	Xavier Claeys Ralf Hiptmair
+	A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions	2019	Sarah Eberle Francesco Florian Ralf Hiptmair Stefan Sauter
+	Compact Equivalent Inverse of the Electric Field Integral Operator on Screens	2018	Ralf Hiptmair Carolina Urzúa–Torres
+	Shape derivatives for scattering problems	2018	Ralf Hiptmair Jingzhi Li
+	Closed-Form Inverses of the Weakly Singular and Hypersingular Operators on Disks	2018	Ralf Hiptmair Carlos Jerez-Hanckes Carolina Urzúa–Torres
+ PDF Chat	Tensor-Product Discretization for the Spatially Inhomogeneous and Transient Boltzmann Equation in Two Dimensions	2017	Philipp Grohs Ralf Hiptmair Simon Pintarelli
+	Asymptotic expansion techniques for singularly perturbed boundary integral equations	2017	Kersten Schmidt Ralf Hiptmair
+	First-Kind Boundary Integral Equations for the Hodge-Helmholtz Equation	2017	Xavier Claeys Ralf Hiptmair
+	Closed-Form Exact Inverses of the Weakly Singular and Hypersingular Operators On Disks	2017	Ralf Hiptmair Carlos Jerez-Hanckes Carolina Urzúa–Torres
+ PDF Chat	A Survey of Trefftz Methods for the Helmholtz Equation	2016	Ralf Hiptmair Andrea Moiola Ilaria Perugia
+	Erratum to: A Survey of Trefftz Methods for the Helmholtz Equation	2016	Ralf Hiptmair Andrea Moiola Ilaria Perugia
+	A Survey of Trefftz Methods for the Helmholtz Equation	2015	Ralf Hiptmair Andrea Moiola Ilaria Perugia
+ PDF Chat	Integral Equations for Electromagnetic Scattering at Multi-Screens	2015	Xavier Claeys Ralf Hiptmair
+ PDF Chat	Extension by zero in discrete trace spaces: Inverse estimates	2015	Ralf Hiptmair Carlos Jerez-Hanckes Shipeng Mao
+ PDF Chat	Preface to BIT 55:1	2015	Ralf Hiptmair
+	Maxwell’s Equations: Continuous and Discrete	2015	Ralf Hiptmair
+	Novel Multi-Trace Boundary Integral Equations for Transmission Boundary Value Problems	2015	Xavier Claeys Ralf Hiptmair Carlos Jerez-Hanckes Simon Pintarelli
+	Numerical Methods for Partial Differential Equations	2015	Ralf Hiptmair Laura Scarabosio C. Urzua Torres
+	A Survey of Trefftz Methods for the Helmholtz Equation	2015	Ralf Hiptmair Andrea Moiola Ilaria Perugia
+	Hyperbolic cross approximation for the spatially homogeneous Boltzmann equation	2014	Eivind Fonn Philipp Grohs Ralf Hiptmair
+ PDF Chat	Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz<i>hp</i>-dGFEM	2013	Ralf Hiptmair Andrea Moiola Ilaria Perugia Christoph Schwab
+	Multitrace boundary integral equations	2013	Xavier Claeys Ralf Hiptmair Carlos Jerez-Hanckes
+	Integral Equations on Multi-Screens	2013	Xavier Claeys Ralf Hiptmair
+	Multi‐Trace Boundary Integral Formulation for Acoustic Scattering by Composite Structures	2013	Xavier Claeys Ralf Hiptmair
+ PDF Chat	Stabilized Galerkin methods for magnetic advection	2013	Holger Heumann Ralf Hiptmair
+	Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-DGFEM	2012	Ralf Hiptmair Andrea Moiola Ilaria Perugia Christoph Schwab
+ PDF Chat	Uniform Convergence of Adaptive Multigrid Methods for Elliptic Problems and Maxwell's Equations	2012	Ralf Hiptmair
+	Universal extension for Sobolev spaces of differential forms and applications	2012	Ralf Hiptmair Jingzhi Li Jun Zou
+ PDF Chat	Fully discrete semi-Lagrangian methods for advection of differential forms	2012	Holger Heumann Ralf Hiptmair Kun Li Jinchao Xu
+	Derivation and test of high order fluid model for streamer discharges	2012	Aram Markosyan Saša Dujko Ute Ebert Andreas Blaszczyk Ralf Hiptmair P. Leuchtmann Jörg Ostrowski
+	Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-DGFEM	2012	Ralf Hiptmair Andrea Moiola Ilaria Perugia Christoph Schwab
+ PDF Chat	Vekua theory for the Helmholtz operator	2011	Andrea Moiola Ralf Hiptmair Ilaria Perugia
+	Boundary integral formulation of the first kind for acoustic scattering by composite structures	2011	Xavier Claeys Ralf Hiptmair
+ PDF Chat	STABILITY RESULTS FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH IMPEDANCE BOUNDARY CONDITIONS	2011	Ralf Hiptmair Andrea Moiola Ilaria Perugia
+ PDF Chat	Self-adjoint curl operators	2011	Ralf Hiptmair P. Robert Kotiuga Sébastien Tordeux
+	Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations	2011	Ralf Hiptmair Andrea Moiola Ilaria Perugia
+ PDF Chat	Discrete Compactness for the<i>p</i>-Version of Discrete Differential Forms	2011	Daniele Boffi Martin Costabel Monique Dauge Leszek Demkowicz Ralf Hiptmair
+ PDF Chat	Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms	2010	Holger Heumann Ralf Hiptmair
+ PDF Chat	Real interpolation of spaces of differential forms	2010	Ralf Hiptmair Jingzhi Li Jun Zou
+ PDF Chat	Convergence of the Natural $hp$-BEM for the Electric Field Integral Equation on Polyhedral Surfaces	2010	Alex Bespalov Norbert Heuer Ralf Hiptmair
+	Eulerian and Semi-Lagrangian Methods for Convection-Diffusion for Differential Forms	2010	Holger Heumann Ralf Hiptmair
+	Discrete compactness for the p-version of discrete differential forms	2009	Daniele Boffi Martin Costabel Monique Dauge Leszek Demkowicz Ralf Hiptmair
+ PDF Chat	Plane wave discontinuous Galerkin methods: Analysis of the<i>h</i>-version	2009	Claude Jeffrey Gittelson Ralf Hiptmair Ilaria Perugia
+	Local Multigrid in H(curl)	2009	Ralf Hiptmair Weiying Zheng
+	Discrete Compactness for p-Version of Tetrahedral Edge Elements	2009	Ralf Hiptmair
+	Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces	2009	Alex Bespalov Norbert Heuer Ralf Hiptmair
+	Local Multigrid in H(curl)	2009	Ralf Hiptmair Weiying Zheng
+	Estimating the Eddy-Current Modeling Error	2008	Kersten Schmidt O. Sterz Ralf Hiptmair
+	Sparse adaptive finite elements for radiative transfer	2008	Gisela Widmer Ralf Hiptmair Ch. Schwab
+	Self-adjoint curl operators	2008	Ralf Hiptmair P. Robert Kotiuga Sébastien Tordeux
+	MINISYMPOSIUM 9: Subspace Correction Methods	2008	Ralf Hiptmair Ralf Kornhuber Jinchao Xu
+	Interface approximation and error estimates via mapping techniques	2007	Christos Varsakelis Ralf Hiptmair
+	SPARSE FINITE ELEMENTS FOR NON-SCATTERING RADIATIVE TRANSFER IN DIFFUSE REGIMES	2007	Gisela Widmer Ralf Hiptmair
+	Sparse Tensor Product Approximation for Radiative Transfer	2007	Gisela Widmer Ralf Hiptmair
+ PDF Chat	Conservative discretization of the Einstein–Dirac equations in spherically symmetric spacetime	2006	Benedikt Zeller Ralf Hiptmair
+ PDF Chat	Non-Reflecting Boundary Conditions for Maxwell?s Equations	2003	Ralf Hiptmair Achim Schädle
+	Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains	2003	Annalisa Buffa Ralf Hiptmair Tobias von Petersdorff C. Schwab
+	Multigrid for Discrete Differential Forms on Sparse Grids	2003	Vasile Gradinaru Ralf Hiptmair
+	Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering	2003	Ralf Hiptmair
+ PDF Chat	Coercive combined field integral equations	2003	Ralf Hiptmair
+	Coercive combined field integral equations	2003	Ralf Hiptmair Annalisa Buffa
+	HIGHER ORDER WHITNEY FORMS - Abstract	2001	Ralf Hiptmair
+	Whitney elements on pyramids.	1999	Vasile Gradinaru Ralf Hiptmair
+	Mixed Finite Element Discretization of Continuity Equations Arising in Semiconductor Device Simulation	1994	Ralf Hiptmair Ronald H. W. Hoppe

Common Coauthors

Coauthor	Papers Together
Andrea Moiola	12
Xavier Claeys	11
Ilaria Perugia	11
Erick Schulz	8
Stefan Sauter	5
Francesco Florian	5
Carlos Jerez-Hanckes	5
Holger Heumann	4
Christoph Schwab	4
Carolina Urzúa–Torres	4
Jingzhi Li	3
Annalisa Buffa	3
Euan A. Spence	3
Gisela Widmer	3
Leszek Demkowicz	2
Kersten Schmidt	2
Dirk Pauly	2
Jun Zou	2
Piyush Panchal	2
Simon Pintarelli	2
Ignacio Labarca-Figueroa	2
Philipp Grohs	2
Sarah Eberle	2
Jinchao Xu	2
Weiying Zheng	2
Sébastien Tordeux	2
Martin Averseng	2
Vasile Gradinaru	2
Wouter Tonnon	2
Norbert Heuer	2
Martin Costabel	2
Monique Dauge	2
P. Robert Kotiuga	2
Daniele Boffi	2
Alex Bespalov	2
Max Wardetzky	1
Ralf Kornhuber	1
Christos Varsakelis	1
Saša Dujko	1
Eivind Fonn	1
O. Sterz	1
Laura Scarabosio	1
H. Ralph Schumacher	1
Tobias von Petersdorff	1
Claude Jeffrey Gittelson	1
C. Schwab	1
Andreas Blaszczyk	1
Habib Ammari	1
P. Leuchtmann	1
Shipeng Mao	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On traces for H(curl,Ω) in Lipschitz domains	2002	Annalisa Buffa Martin Costabel Dongwoo Sheen	21
+	Boundary Integral Operators on Lipschitz Domains: Elementary Results	1988	Martin Costabel	14
+ PDF Chat	Boundary element methods for Maxwell's equations on non-smooth domains	2002	Annalisa Buffa Martin Costabel C. Schwab	13
+ PDF Chat	Inverse Acoustic and Electromagnetic Scattering Theory	2012	David Colton Rainer Kreß	11
+	Boundary integral equations for mixed Dirichlet, Neumann and transmission problems	1989	Tobias von Petersdorff Rolf Leis	11
+ PDF Chat	Finite element exterior calculus: from Hodge theory to numerical stability	2010	Douglas N. Arnold Richard S. Falk Ragnar Winther	10
+ PDF Chat	Finite element methods for Maxwell’s equations	2020	Peter Monk Yangwen Zhang	9
+	The electric field integral equation on Lipschitz screens: definitions and numerical approximation	2003	Annalisa Buffa Snorre H. Christiansen	9
+	Numerical Approximation Methods for Elliptic Boundary Value Problems	2007	Olaf Steinbach	8
+	Solution procedures for three-dimensional eddy current problems	1984	R. C. MacCamy Ernst P. Stephan	7
+	Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering	2003	Ralf Hiptmair	7
+ PDF Chat	On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains	2009	Martin Costabel Alan McIntosh	7
+ PDF Chat	Finite Element Methods for Maxwell's Equations	2003	Peter Monk	7
+	Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains	2003	Annalisa Buffa Ralf Hiptmair Tobias von Petersdorff C. Schwab	7
+	An elementary proof for a compact imbedding result in generalized electromagnetic theory	1984	Rainer Picard	7
+ PDF Chat	Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems	2002	Douglas N. Arnold Franco Brezzi Bernardo Cockburn L. D. Marini	6
+	On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations	1996	Christophe Hazard M. Lenoir	6
+	Geometric Integration Theory	1957	Hassler Whitney	5
+	Acoustic and electromagnetic equations : integral representations for harmonic problems	2001	Jean-Claude Nédélec	5
+	Trace Theorems on Non-Smooth Boundaries for Functional Spaces Related to Maxwell Equations: an Overview	2003	Annalisa Buffa	5
+	New methods for solving elliptic equations	1967	I. Vekua David E. Brown A. B. Tayler	5
+ PDF Chat	First-Kind Boundary Integral Equations for the Hodge--Helmholtz Operator	2019	Xavier Claeys Ralf Hiptmair	5
+	Numerical Approximation Methods for Elliptic Boundary Value Problems. Finite and Boundary Elements	2008	Olaf Steinbach	5
+	Iterative Methods by Space Decomposition and Subspace Correction	1992	Jinchao Xu	4
+ PDF Chat	Vekua theory for the Helmholtz operator	2011	Andrea Moiola Ralf Hiptmair Ilaria Perugia	4
+	H1, H(curl) and H(div)-conforming projection-based interpolation in three dimensions	2004	Leszek Demkowicz Annalisa Buffa	4
+	Integral Equation Solutions of Three-dimensional Scattering Problems	1973	A.J. Poggio E.K. Miller	4
+	T-coercivity: Application to the discretization of Helmholtz-like problems	2012	Patrick Ciarlet	4
+ PDF Chat	Discrete Fredholm properties and convergence estimates for the electric field integral equation	2003	Snorre H. Christiansen	4
+ PDF Chat	Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains	2008	Alex H. Barnett Timo Betcke	4
+ PDF Chat	Singularities of Maxwell interface problems	1999	Martin Costabel Monique Dauge Serge Nicaise	4
+	Non-Homogeneous Boundary Value Problems and Applications	1973	J. L. Lions Enrico Magenes	4
+	On the Rate of Convergence of the Bergman–Vekua Method for the Numerical Solution of Elliptic Boundary Value Problems	1974	Stanley C. Eisenstat	4
+	A direct boundary integral equation method for transmission problems	1985	Martin Costabel Ernst P. Stephan	4
+	Trefftz-discontinuous Galerkin methods for time-harmonic wave problems	2011	Andrea Moiola	4
+	Integral Equation Methods in Scattering Theory	2013	David Colton Rainer Kreß	4
+ PDF Chat	Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering	2014	Euan A. Spence	4
+	Mixed and Hybrid Finite Element Methods	2011	Franco Brezzi Michel Fortin	4
+	Quasioptimality of some spectral mixed methods	2004	Jay Gopalakrishnan Leszek Demkowicz	3
+	A survey of I. N. Vekua's theory of elliptic partial differential equations with analytic coefficients	1957	Peter Henrici	3
+	Boundary integral equations for screen problems in IR3	1987	Ernst P. Stephan	3
+ PDF Chat	The Fourier version of the Variational Theory of Complex Rays for medium-frequency acoustics	2012	Louis Kovalevsky Pierre Ladevèze Hervé Riou	3
+ PDF Chat	Plane wave discontinuous Galerkin methods: Analysis of the<i>h</i>-version	2009	Claude Jeffrey Gittelson Ralf Hiptmair Ilaria Perugia	3
+	A New Approximation Method for the Helmholtz Equation in an Exterior Domain	1982	A. K. Aziz M. Dörr R. Bruce Kellogg	3
+ PDF Chat	Interpolation properties of generalized plane waves	2015	Lise‐Marie Imbert‐Gérard	3
+ PDF Chat	An observation concerning Ritz-Galerkin methods with indefinite bilinear forms	1974	A. H. Schatz	3
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	3
+ PDF Chat	Extremal Systems of Points and Numerical Integration on the Sphere	2004	Ian H. Sloan Robert S. Womersley	3
+	HODGE DECOMPOSITIONS ON THE BOUNDARY OF NONSMOOTH DOMAINS: THE MULTI-CONNECTED CASE	2001	Annalisa Buffa	3
+	Initial Boundary Value Problems in Mathematical Physics	1986	Rolf Leis	3