A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body

DOI10.1137/090754212zbMath1222.78050OpenAlexW2032806441MaRDI QIDQ2999837

Salim Meddahi, Gabriel N. Gatica, George C. Hsiao

Publication date: 17 May 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10651/11089

zbMATH Keywords

Sobolev spacestressesLagrange multiplierMaxwell equationsinteractionGalerkin schemeobstacleinterpolation error estimateregular decompositionsthree-dimensional elastic bodyscattered wavetime-harmonic electromagnetic fieldcoupled mixed finite element methoddual-mixed variational formulationinf sup conditionRaviart-Thomas equilibrium interpolation operatorVoight model

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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