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Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption

Ivan G. Graham, Euan A. Spence, Jun Zou

2020SIAM Journal on Numerical Analysis41 citationsDOI

Abstract

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 5 July 2019Accepted: 18 May 2020Published online: 16 September 2020KeywordsHelmholtz equation, high frequency, preconditioning, GMRES, domain decomposition, subproblems with impedance conditions, robustnessAMS Subject Headings65F08, 65F10, 65N55Publication DataISSN (print): 0036-1429ISSN (online): 1095-7170Publisher: Society for Industrial and Applied MathematicsCODEN: sjnaam

Topics & Concepts

Helmholtz equationDomain decomposition methodsMathematicsGeneralized minimal residual methodDecompositionElectrical impedanceHelmholtz free energyDomain (mathematical analysis)Absorption (acoustics)Applied mathematicsMathematical analysisFinite element methodBoundary value problemAcousticsLinear systemThermodynamicsElectrical engineeringPhysicsChemistryEngineeringOrganic chemistryAdvanced Numerical Methods in Computational MathematicsNumerical methods in engineeringElectromagnetic Simulation and Numerical Methods
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