Ralf Hiptmair

Orcid: 0000-0002-1378-2668

Affiliations:
  • ETH Zurich, Switzerland


According to our database1, Ralf Hiptmair authored at least 63 papers between 1996 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Semi-Lagrangian finite element exterior calculus for incompressible flows.
Adv. Comput. Math., February, 2024

Volume Integral Equations and Single-Trace Formulations for Acoustic Wave Scattering in an Inhomogeneous Medium.
Comput. Methods Appl. Math., January, 2024

Coupled Boundary and Volume Integral Equations for Electromagnetic Scattering.
CoRR, 2024

2023
Detecting Near Resonances in Acoustic Scattering.
J. Sci. Comput., September, 2023

Force Computation for Dielectrics Using Shape Calculus.
Comput. Methods Appl. Math., April, 2023

Boundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: a two-level Substructuring Preconditioner.
CoRR, 2023

Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients.
CoRR, 2023

2022
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem.
SIAM J. Appl. Math., August, 2022

First-Kind Boundary Integral Equations for the Dirac Operator in 3-Dimensional Lipschitz Domains.
SIAM J. Math. Anal., 2022

Fractured Meshes.
CoRR, 2022

Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics.
Comput. Methods Appl. Math., 2022

2021
Frequency-Stable Full Maxwell in Electro-quasistatic Gauge.
SIAM J. Sci. Comput., 2021

A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions.
SIAM J. Math. Anal., 2021

2020
Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens.
SIAM J. Numer. Anal., 2020

Coupling FEM with a Multiple-Subdomain Trefftz Method.
J. Sci. Comput., 2020

2019
First-Kind Boundary Integral Equations for the Hodge-Helmholtz Operator.
SIAM J. Math. Anal., 2019

Coupling finite elements and auxiliary sources.
Comput. Math. Appl., 2019

Harmonic Balance Techniques in Cardiovascular Fluid Mechanics.
Proceedings of the Medical Image Computing and Computer Assisted Intervention - MICCAI 2019, 2019

2018
Large deformation shape uncertainty quantification in acoustic scattering.
Adv. Comput. Math., 2018

2017
Asymptotic expansion techniques for singularly perturbed boundary integral equations.
Numerische Mathematik, 2017

Second-kind boundary integral equations for electromagnetic scattering at composite objects.
Comput. Math. Appl., 2017

Second kind boundary integral equation for multi-subdomain diffusion problems.
Adv. Comput. Math., 2017

2016
Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version.
Found. Comput. Math., 2016

2015
Extension by zero in discrete trace spaces: Inverse estimates.
Math. Comput., 2015

Shape Optimization by Pursuing Diffeomorphisms.
Comput. Methods Appl. Math., 2015

Approximate Riesz Representatives of Shape Gradients.
Proceedings of the System Modeling and Optimization - 27th IFIP TC 7 Conference, CSMO 2015, 2015

2014
Mesh-Independent Operator Preconditioning for Boundary Elements on Open Curves.
SIAM J. Numer. Anal., 2014

Fast convolution quadrature based impedance boundary conditions.
J. Comput. Appl. Math., 2014

2013
Multiple point evaluation on combined tensor product supports.
Numer. Algorithms, 2013

Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations.
Math. Comput., 2013

Convergence of Lowest Order Semi-Lagrangian Schemes.
Found. Comput. Math., 2013

Stabilized Galerkin for Linear Advection of Vector Fields.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012
Convergence analysis of finite element methods for <i>H</i>(curl; Ω)-elliptic interface problems.
Numerische Mathematik, 2012

Multiple traces boundary integral formulation for Helmholtz transmission problems.
Adv. Comput. Math., 2012

2011
Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version.
SIAM J. Numer. Anal., 2011

Discrete Compactness for the p-Version of Discrete Differential Forms.
SIAM J. Numer. Anal., 2011

2010
Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces.
SIAM J. Numer. Anal., 2010

Convergence analysis of finite element methods for <i>H</i>(div;Ω)-elliptic interface problems.
J. Num. Math., 2010

2008
Sparse adaptive finite elements for radiative transfer.
J. Comput. Phys., 2008

2007
Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces.
SIAM J. Numer. Anal., 2007

2006
Stabilized FEM-BEM Coupling for Helmholtz Transmission Problems.
SIAM J. Numer. Anal., 2006

Auxiliary space preconditioning in H<sub>0</sub>(curl; Ω).
Numerische Mathematik, 2006

Operator Preconditioning.
Comput. Math. Appl., 2006

2005
Regularized Combined Field Integral Equations.
Numerische Mathematik, 2005

2004
A Coercive Combined Field Integral Equation for Electromagnetic Scattering.
SIAM J. Numer. Anal., 2004

2003
Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering.
SIAM J. Numer. Anal., 2003

Mixed finite elements on sparse grids.
Numerische Mathematik, 2003

Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains.
Numerische Mathematik, 2003

Analysis of multilevel methods for eddy current problems.
Math. Comput., 2003

Coercive combined field integral equations.
J. Num. Math., 2003

Non-Reflecting Boundary Conditions for Maxwell's Equations.
Computing, 2003

Multigrid for Discrete Differential Forms on Sparse Grids.
Computing, 2003

2002
Multilevel Method for Mixed Eigenproblems.
SIAM J. Sci. Comput., 2002

Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra.
SIAM J. Numer. Anal., 2002

Symmetric Coupling for Eddy Current Problems.
SIAM J. Numer. Anal., 2002

Generators of $H_1(\Gamma_{h}, \mathbbZ)$ for Triangulated Surfaces: Construction and Classification.
SIAM J. Comput., 2002

Multigrid Computation of Axisymmetric Electromagnetic Fields.
Adv. Comput. Math., 2002

2001
Discrete Hodge operators.
Numerische Mathematik, 2001

Analysis of tensor product multigrid.
Numer. Algorithms, 2001

2000
Multilevel Gauging for Edge Elements.
Computing, 2000

1999
Multilevel methods for mixed finite elements in three dimensions.
Numerische Mathematik, 1999

Canonical construction of finite elements.
Math. Comput., 1999

1996
Multilevel Preconditioned Augmented Lagrangian Techniques for 2ndMixed Problems.
Computing, 1996


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