Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method
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Publication:6137602
DOI10.1137/21m1409160zbMath1523.35135arXiv2102.13081OpenAlexW3130307322MaRDI QIDQ6137602
David Lafontaine, Jared Wunsch, Jeffrey Galkowski, Euan A. Spence
Publication date: 4 September 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.13081
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (5)
Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect? ⋮ At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 -- October 1, 2022 ⋮ Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency ⋮ Higher-order finite element methods for the nonlinear Helmholtz equation ⋮ Decompositions of high-frequency Helmholtz solutions and application to the finite element method
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