Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method-Reference-Cited by-同舟云学术

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Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method

Published:2023-08-22 Issue:4 Volume:55 Page:3903-3958
ISSN:0036-1410
Container-title:SIAM Journal on Mathematical Analysis
language:en
Short-container-title:SIAM J. Math. Anal.

Author:

Galkowski J.¹^ORCID,Lafontaine D.²,Spence E. A.³^ORCID,Wunsch J.⁴^ORCID

Affiliation:

1. Department of Mathematics, University College London, 25 Gordon Street, London, WC1H 0AY, UK.

2. CNRS and Institut de Mathématiques de Toulouse, UMR5219; Université de Toulouse, CNRS; UPS, F-31062 Toulouse Cedex 9, France.

3. Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK.

4. Department of Mathematics, Northwestern University, Evanston, IL 60208-2730 USA.

Funder

National Science Foundation

Simons Foundation

Engineering and Physical Sciences Research Council

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics,Analysis

Reference66 articles.

1. A two point boundary value problem with a rapidly oscillating solution

2. Stability analysis of heterogeneous Helmholtz problems and finite element solution based on propagation media approximation

3. Optimal Finite-Element Interpolation on Curved Domains

4. Décroissance de l'énergie locale de l'équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel

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1. Lower bounds for piecewise polynomial approximations of oscillatory functions;Journal of Approximation Theory;2024-09

2. Wavenumber-explicit stability and convergence analysis of ℎ finite element discretizations of Helmholtz problems in piecewise smooth media;Mathematics of Computation;2024-05-29

3. Higher-Order Finite Element Methods for the Nonlinear Helmholtz Equation;Journal of Scientific Computing;2024-02-14

4. Wavenumber-Explicit hp-FEM Analysis for Maxwell’s Equations with Impedance Boundary Conditions;Foundations of Computational Mathematics;2023-11-14

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