Does the Helmholtz boundary element method suffer from the pollution effect?

Jeffrey Galkowski, Euan A. Spence

Type: Preprint

Publication Date: 2022-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2201.09721

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?	2023	Jeffrey Galkowski Euan A. Spence
+	Wavenumber-explicit analysis for the Helmholtz $h$-BEM: error estimates and iteration counts for the Dirichlet problem	2016	Jeffrey Galkowski Eike H. Müller Euan A. Spence
+	Wavenumber-explicit analysis for the Helmholtz $h$-BEM: error estimates and iteration counts for the Dirichlet problem	2016	Jeffrey Galkowski Eike H. Müller Euan A. Spence
+	A simple proof that the $hp$-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equation	2022	Euan A. Spence
+	The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect	2022	Jeffrey Galkowski David Lafontaine Euan A. Spence Jared Wunsch
+ PDF Chat	The geometric error is less than the pollution error when solving the high-frequency Helmholtz equation with high-order FEM on curved domains	2024	Théophile Chaumont-Frelet Euan A. Spence
+	A sharp relative-error bound for the Helmholtz $h$-FEM at high frequency	2019	David Lafontaine Euan A. Spence Jared Wunsch
+	A sharp relative-error bound for the Helmholtz $h$-FEM at high frequency	2019	David Lafontaine Euan A. Spence Jared Wunsch
+	Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method	2021	Jeffrey Galkowski David Lafontaine Euan A. Spence Jared Wunsch
+	Sharp preasymptotic error bounds for the Helmholtz $h$-FEM	2023	Jeffrey Galkowski Euan A. Spence
+	Dispersion Analysis of CIP-FEM for Helmholtz Equation	2022	Yu Zhou Haijun Wu
+ PDF Chat	Dispersion Analysis of CIP-FEM for the Helmholtz Equation	2023	Yu Zhou Haijun Wu
+	Wavenumber-explicit convergence of the $hp$-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients	2020	David Lafontaine Euan A. Spence Jared Wunsch
+	High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem	2021	Jeffrey Galkowski Pierre Marchand Euan A. Spence
+ PDF Chat	Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method	2023	Jeffrey Galkowski D. Lafontaine Euan A. Spence Jared Wunsch
+	Robust boundary integral equations for the solution of elastic scattering problems via Helmholtz decompositions	2022	Vı́ctor Domínguez Catalin Turc
+	Method of virtual sources using on-surface radiation conditions for the Helmholtz equation	2023	Sebastián Acosta Tahsin Khajah
+	A Fast Butterfly-compressed Hadamard-Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	2022	Yang Liu Jian Song Robert Burridge Jianliang Qian
+	A hybrid approach to solve the high-frequency Helmholtz equation with source singularity	2017	Jun Fang Jianliang Qian Leonardo Zepeda-Núñez Hongkai Zhao
+	Ray-based Finite Element Method for High-frequency Helmholtz Equations	2017	Jun Fang

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (0)

Action	Title	Year	Authors