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Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers

Théophile Chaumont-Frelet, Dietmar Gallistl, Serge Nicaise, Jérôme Tomezyk

2021Communications in Mathematical Sciences20 citationsDOI

Abstract

International audience

Topics & Concepts

WavenumberHelmholtz equationFinite element methodMathematicsMathematical analysisPerfectly matched layerA priori and a posterioriBounded functionComputationKrylov subspaceNorm (philosophy)Wave propagationApplied mathematicsPhysicsBoundary value problemLinear systemAlgorithmOpticsPolitical scienceEpistemologyLawThermodynamicsPhilosophyAdvanced Mathematical Modeling in EngineeringAdvanced Numerical Methods in Computational MathematicsNumerical methods in inverse problems