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The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect

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

2024Communications in Mathematical Sciences12 citationsDOIOpen Access PDF

Abstract

International audience

Topics & Concepts

Truncation (statistics)Helmholtz equationFinite element methodMathematical analysisPerfectly matched layerPhysicsMathematicsBoundary value problemStatisticsThermodynamicsNumerical methods in engineeringFluid Dynamics and Vibration AnalysisElectromagnetic Simulation and Numerical Methods
The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect | Litcius