Multilevel Preconditioned Augmented Lagrangian Techniques for 2ndMixed Problems. - Ralf Hiptmair; Thomas Schiekofer; Barbara I. Wohlmuth (Computing, 1996)

Canonical construction of finite elements. - Ralf Hiptmair (Math. Comput., 1999)

Multilevel methods for mixed finite elements in three dimensions. - Ralf Hiptmair; Ronald H. W. Hoppe (Numerische Mathematik, 1999)

Multilevel Gauging for Edge Elements. - Ralf Hiptmair (Computing, 2000)

Analysis of tensor product multigrid. - Steffen Börm; Ralf Hiptmair (Numer. Algorithms, 2001)

Discrete Hodge operators. - Ralf Hiptmair (Numerische Mathematik, 2001)

Multigrid Computation of Axisymmetric Electromagnetic Fields. - Steffen Börm; Ralf Hiptmair (Adv. Comput. Math., 2002)

Generators of $H_1( Gamma_{h}, mathbbZ)$ for Triangulated Surfaces: Construction and Classification. - Ralf Hiptmair; Jörg Ostrowski (SIAM J. Comput., 2002)

Symmetric Coupling for Eddy Current Problems. - Ralf Hiptmair (SIAM J. Numer. Anal., 2002)

Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra. - Ralf Hiptmair; Christoph Schwab (SIAM J. Numer. Anal., 2002)

Multilevel Method for Mixed Eigenproblems. - Ralf Hiptmair; Klaus Neymeyr (SIAM J. Sci. Comput., 2002)

Multigrid for Discrete Differential Forms on Sparse Grids. - Vasile Gradinaru; Ralf Hiptmair (Computing, 2003)

Non-Reflecting Boundary Conditions for Maxwell's Equations. - Ralf Hiptmair; Achim Schädle (Computing, 2003)

Coercive combined field integral equations. - Ralf Hiptmair (J. Num. Math., 2003)

Analysis of multilevel methods for eddy current problems. - Ralf Hiptmair (Math. Comput., 2003)

Boundary Element Methods for Maxwell Transmission Problems in Lipschitz Domains. - Annalisa Buffa; Ralf Hiptmair; Tobias von Petersdorff; Christoph Schwab (Numerische Mathematik, 2003)

Mixed finite elements on sparse grids. - Vasile Gradinaru; Ralf Hiptmair (Numerische Mathematik, 2003)

Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering. - Ralf Hiptmair (SIAM J. Numer. Anal., 2003)

A Coercive Combined Field Integral Equation for Electromagnetic Scattering. - Annalisa Buffa; Ralf Hiptmair (SIAM J. Numer. Anal., 2004)

Regularized Combined Field Integral Equations. - Annalisa Buffa; Ralf Hiptmair (Numerische Mathematik, 2005)

Operator Preconditioning. - Ralf Hiptmair (Comput. Math. Appl., 2006)

Auxiliary space preconditioning in H0(curl; Ω). - Ralf Hiptmair; Gisela Widmer; Jun Zou 003 (Numerische Mathematik, 2006)

Stabilized FEM-BEM Coupling for Helmholtz Transmission Problems. - Ralf Hiptmair; P. Meury (SIAM J. Numer. Anal., 2006)

Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces. - Ralf Hiptmair; Jinchao Xu (SIAM J. Numer. Anal., 2007)

Sparse adaptive finite elements for radiative transfer. - Gisela Widmer; Ralf Hiptmair; Christoph Schwab (J. Comput. Phys., 2008)

Convergence analysis of finite element methods for H(div;Ω)-elliptic interface problems. - Ralf Hiptmair; J. Li; Jun Zou 003 (J. Num. Math., 2010)

Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces. - Alexei Bespalov; Norbert Heuer; Ralf Hiptmair (SIAM J. Numer. Anal., 2010)

Discrete Compactness for the p-Version of Discrete Differential Forms. - Daniele Boffi; Martin Costabel; Monique Dauge; Leszek F. Demkowicz; Ralf Hiptmair (SIAM J. Numer. Anal., 2011)

Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version. - Ralf Hiptmair; Andrea Moiola; Ilaria Perugia (SIAM J. Numer. Anal., 2011)

Multiple traces boundary integral formulation for Helmholtz transmission problems. - Ralf Hiptmair; Carlos Jerez-Hanckes (Adv. Comput. Math., 2012)

Convergence analysis of finite element methods for H(curl; Ω)-elliptic interface problems. - Ralf Hiptmair; Jingzhi Li 001; Jun Zou 003 (Numerische Mathematik, 2012)

Stabilized Galerkin for Linear Advection of Vector Fields. - Holger Heumann; Ralf Hiptmair (ENUMATH, 2013)

Convergence of Lowest Order Semi-Lagrangian Schemes. - Holger Heumann; Ralf Hiptmair (Found. Comput. Math., 2013)

Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations. - Ralf Hiptmair; Andrea Moiola; Ilaria Perugia (Math. Comput., 2013)

Multiple point evaluation on combined tensor product supports. - Ralf Hiptmair; G. Phillips; G. Sinha (Numer. Algorithms, 2013)

Fast convolution quadrature based impedance boundary conditions. - Ralf Hiptmair; María López-Fernández; Alberto Paganini (J. Comput. Appl. Math., 2014)

Mesh-Independent Operator Preconditioning for Boundary Elements on Open Curves. - Ralf Hiptmair; Carlos Jerez-Hanckes; Carolina Urzúa-Torres (SIAM J. Numer. Anal., 2014)

Approximate Riesz Representatives of Shape Gradients. - Alberto Paganini; Ralf Hiptmair (System Modelling and Optimization, 2015)

Shape Optimization by Pursuing Diffeomorphisms. - Ralf Hiptmair; Alberto Paganini (Comput. Methods Appl. Math., 2015)

Extension by zero in discrete trace spaces: Inverse estimates. - Ralf Hiptmair; Carlos Jerez-Hanckes; Shipeng Mao (Math. Comput., 2015)

Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-Version. - Ralf Hiptmair; Andrea Moiola; Ilaria Perugia (Found. Comput. Math., 2016)

Second kind boundary integral equation for multi-subdomain diffusion problems. - Xavier Claeys; Ralf Hiptmair; Elke Spindler (Adv. Comput. Math., 2017)

Second-kind boundary integral equations for electromagnetic scattering at composite objects. - Xavier Claeys; Ralf Hiptmair; Elke Spindler (Comput. Math. Appl., 2017)

Asymptotic expansion techniques for singularly perturbed boundary integral equations. - Kersten Schmidt; Ralf Hiptmair (Numerische Mathematik, 2017)

Large deformation shape uncertainty quantification in acoustic scattering. - Ralf Hiptmair; Laura Scarabosio; Claudia Schillings; Christoph Schwab (Adv. Comput. Math., 2018)

Harmonic Balance Techniques in Cardiovascular Fluid Mechanics. - Taha Sabri Koltukluoglu; Gregor Cvijetic; Ralf Hiptmair (MICCAI (2), 2019)

Coupling finite elements and auxiliary sources. - Daniele Casati; Ralf Hiptmair (Comput. Math. Appl., 2019)

First-Kind Boundary Integral Equations for the Hodge-Helmholtz Operator. - Xavier Claeys; Ralf Hiptmair (SIAM J. Math. Anal., 2019)

Coupling FEM with a Multiple-Subdomain Trefftz Method. - Daniele Casati; Ralf Hiptmair (J. Sci. Comput., 2020)

Optimal Operator Preconditioning for Galerkin Boundary Element Methods on 3-Dimensional Screens. - Ralf Hiptmair; Carlos Jerez-Hanckes; Carolina Urzúa-Torres (SIAM J. Numer. Anal., 2020)

A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions. - Sarah Eberle; Francesco Florian; Ralf Hiptmair; Stefan A. Sauter (SIAM J. Math. Anal., 2021)

Frequency-Stable Full Maxwell in Electro-quasistatic Gauge. - Jörg Ostrowski; Ralf Hiptmair (SIAM J. Sci. Comput., 2021)

Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics. - Erick Schulz; Ralf Hiptmair (Comput. Methods Appl. Math., 2022)

Fractured Meshes. - Martin Averseng; Xavier Claeys; Ralf Hiptmair (CoRR, 2022)

First-Kind Boundary Integral Equations for the Dirac Operator in 3-Dimensional Lipschitz Domains. - Erick Schulz; Ralf Hiptmair (SIAM J. Math. Anal., 2022)

Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem. - Ralf Hiptmair; Andrea Moiola; Euan A. Spence (SIAM J. Appl. Math., 2022)

Boundary Element Methods for the Laplace Hypersingular Integral Equation on Multiscreens: a two-level Substructuring Preconditioner. - Martin Averseng; Xavier Claeys; Ralf Hiptmair (CoRR, 2023)

Force Computation for Dielectrics Using Shape Calculus. - Piyush Panchal; Ning Ren; Ralf Hiptmair (Comput. Methods Appl. Math., 2023)

Detecting Near Resonances in Acoustic Scattering. - Luka Grubisic; Ralf Hiptmair; Diego Renner (J. Sci. Comput., 2023)

H(curl)-based approximation of the Stokes problem with slip boundary conditions. - Wietse M. Boon; Ralf Hiptmair; Wouter Tonnon; Enrico Zampa (CoRR, 2024)

Frequency-Explicit Shape Holomorphy in Uncertainty Quantification for Acoustic Scattering. - Ralf Hiptmair; Christoph Schwab; Euan A. Spence (CoRR, 2024)

Wave scattering with time-periodic coefficients: Energy estimates and harmonic formulations. - Jörg Nick; Ralf Hiptmair; Habib Ammari (CoRR, 2024)

Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients. - Francesco Florian; Ralf Hiptmair; Stefan A. Sauter (SIAM J. Math. Anal., 2024)

Volume Integral Equations and Single-Trace Formulations for Acoustic Wave Scattering in an Inhomogeneous Medium. - Ignacio Labarca; Ralf Hiptmair (Comput. Methods Appl. Math., 2024)

Semi-Lagrangian finite element exterior calculus for incompressible flows. - Wouter Tonnon; Ralf Hiptmair (Adv. Comput. Math., 2024)

Coupled boundary and volume integral equations for electromagnetic scattering. - Ignacio Labarca-Figueroa; Ralf Hiptmair (J. Comput. Appl. Math., 2025)

Surrogate modeling of resonant behavior in scattering problems through adaptive rational approximation and sketching. - Davide Pradovera; Ralf Hiptmair; Ilaria Perugia (CoRR, 2025)

Convergence of Calderón residuals. - Ralf Hiptmair; Carolina Urzúa-Torres; Anouk Wisse (CoRR, 2025)

Stable skeleton integral equations for general coefficient Helmholtz transmission problems. - Benedikt Gräßle; Ralf Hiptmair; Stefan A. Sauter (CoRR, 2025)

Convergence of Discrete Exterior Calculus for the Hodge-Dirac Operator. - Radovan Dabetic; Ralf Hiptmair (CoRR, 2025)