Decompositions of high-frequency Helmholtz solutions via functional calculus, and application to the finite element method

Jeffrey Galkowski, David Lafontaine, Euan A. Spence, Jared Wunsch

Type: Preprint

Publication Date: 2021-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2102.13081

View Publication

Locations

UCL Discovery (University College London) - View - PDF
arXiv (Cornell University) - View
Pure (University of Bath) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ 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
+	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
+	Scattering by finely-layered obstacles: frequency-explicit bounds and homogenization	2021	Théophile Chaumont-Frelet Euan A. Spence
+	Wavenumber-explicit convergence of the hp-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients	2022	D. Lafontaine Euan A. Spence Jared Wunsch
+ PDF Chat	Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?	2023	Jeffrey Galkowski Euan A. Spence
+	Does the Helmholtz boundary element method suffer from the pollution effect?	2022	Jeffrey Galkowski Euan A. Spence
+ PDF Chat	A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media	2018	Jun Fang Jianliang Qian Leonardo Zepeda-Núñez Hongkai Zhao
+ PDF Chat	Scattering by Finely Layered Obstacles: Frequency-Explicit Bounds and Homogenization	2023	Théophile Chaumont-Frelet Euan A. Spence
+	Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods	2016	Liwei Xu Tao Yin
+	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
+	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
+ PDF Chat	Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods	2021	Liwei Xu Tao Yin
+	A TAILORED FINITE POINT METHOD FOR THE HELMHOLTZ EQUATION WITH HIGH WAVE NUMBERS IN HETEROGENEOUS MEDIUM	2008	Houde Han Zhongyi Huang
+	A Fixed-Point Iteration Method for High Frequency Helmholtz Equations	2022	Songting Luo Qing Liu
+	Pollution analysis for high order discretizations of highly heterogeneous Helmholtz problems	2015	Hélène Barucq Henri Calandra Théophile Chaumont-Frelet Christian Gout
+	Sharp preasymptotic error bounds for the Helmholtz $h$-FEM	2023	Jeffrey Galkowski Euan A. Spence
+	The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect	2024	Jeffrey Galkowski David Lafontaine Euan A. Spence Jared Wunsch
+	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
+	Résolution numérique de quelques problèmes du type Helmholtz avec conditions au bord d'impédance ou des couches absorbantes (PML)	2019	Jérôme Tomezyk

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (0)

Action	Title	Year	Authors