:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Hiptmair, Ralf, Schwab, Christoph, Spence, Euan A.
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	https://arxiv.org/abs/2408.01194
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Deep ReLU Neural Network Emulation in High-Frequency Acoustic Scattering
by: Henríquez, Fernando, et al.
Published: (2024)

Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients
by: Florian, Francesco, et al.
Published: (2023)

Parametric Shape Holomorphy of Boundary Integral Operators with Applications
by: Dölz, Jürgen, et al.
Published: (2023)

Coupled Boundary and Volume Integral Equations for Electromagnetic Scattering
by: Labarca-Figueroa, Ignacio, et al.
Published: (2024)

Preconditioning FEM discretisations of the high-frequency Helmholtz and Maxwell equations by either perturbing the coefficients or adding absorption
by: Spence, Euan A.
Published: (2025)

Numerical analysis of the high-frequency Helmholtz equation using semiclassical analysis
by: Galkowski, Jeffrey, et al.
Published: (2025)

Sharp bounds on Helmholtz impedance-to-impedance maps and application to overlapping domain decomposition
by: Lafontaine, David, et al.
Published: (2022)

Sharp preasymptotic error bounds for the Helmholtz $h$-FEM
by: Galkowski, Jeffrey, et al.
Published: (2023)

Convergence theory for two-level hybrid Schwarz preconditioners for high-frequency Helmholtz problems
by: Galkowski, Jeffrey, et al.
Published: (2025)

The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains
by: Chaumont-Frelet, Théophile, et al.
Published: (2024)

Theory of two-level Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation
by: Graham, Ivan G., et al.
Published: (2025)

A Mixed Finite Element Method for the Dirichlet Vector Laplacian in Three Dimensions
by: Hiptmair, Ralf, et al.
Published: (2026)

Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems
by: Averseng, Martin, et al.
Published: (2025)

Helmholtz boundary integral methods and the pollution effect
by: Galkowski, Jeffrey, et al.
Published: (2025)

Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains
by: Chandler-Wilde, Simon N., et al.
Published: (2022)

Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies
by: Averseng, Martin, et al.
Published: (2023)

Convergence of Calderón residuals
by: Hiptmair, Ralf, et al.
Published: (2025)

Floquet$-$Bloch analysis of wave propagation with time-periodic coefficients
by: Nick, Jörg, et al.
Published: (2024)

Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations
by: Chaumont-Frelet, Théophile, et al.
Published: (2024)

The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect
by: Galkowski, Jeffrey, et al.
Published: (2022)

H(curl)-based approximation of the Stokes problem with slip boundary conditions
by: Boon, Wietse M., et al.
Published: (2024)

Optimising seismic imaging design parameters via bilevel learning
by: Downing, Shaunagh, et al.
Published: (2023)

Convergence of Discrete Exterior Calculus for the Hodge-Dirac Operator
by: Dabetić, Radovan, et al.
Published: (2025)

Discrete compactness for the p-version of discrete differential forms
by: Boffi, Daniele, et al.
Published: (2009)

Semi-Lagrangian Finite-Element Exterior Calculus for Incompressible Flows
by: Tonnon, Wouter, et al.
Published: (2023)

Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency
by: Galkowski, Jeffrey, et al.
Published: (2024)

Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems
by: Galkowski, Jeffrey, et al.
Published: (2024)

A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations
by: Bonazzoli, Marcella, et al.
Published: (2017)

Two-level preconditioners for the Helmholtz equation
by: Bonazzoli, Marcella, et al.
Published: (2017)

Massively parallel Schwarz methods for the high frequency Helmholtz equation
by: Xie, Yan, et al.
Published: (2026)

Stable skeleton integral equations for general coefficient Helmholtz transmission problems
by: Gräßle, Benedikt, et al.
Published: (2025)

High dimensional finite elements for elliptic problems with multiple scales and stochastic data
by: Schwab, Christoph
Published: (2003)

Inferring Object Boundaries and their Roughness with Uncertainty Quantification
by: Afkham, Babak Maboudi, et al.
Published: (2023)

Surrogate modeling of resonant behavior in scattering problems through adaptive rational approximation and sketching
by: Pradovera, Davide, et al.
Published: (2025)

Sparsity for Infinite-Parametric Holomorphic Functions on Gaussian Spaces
by: Marcati, Carlo, et al.
Published: (2025)

Elliptic PDEs on log-Gaussian Shapes: Sparsity and Finite Element Discretization
by: Dũng, Dinh, et al.
Published: (2026)

Uncertainty Quantification of Phase Transition Problems with an Injection Boundary
by: Zhang, Zhenyi, et al.
Published: (2024)

The Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification
by: Walton, Steven, et al.
Published: (2024)

Domain Uncertainty Quantification for the Lippmann-Schwinger Volume Integral Equation
by: Henríquez, Fernando, et al.
Published: (2024)

Neural Shape Operator Surrogates -- Expression Rate Bounds
by: Harbrecht, Helmut, et al.
Published: (2026)