Hardy Space Infinite Elements for Scattering and Resonance Problems

DOI10.1137/070708044zbMath1195.65162OpenAlexW2002145374MaRDI QIDQ3559135

Publication date: 11 May 2010

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

Full work available at URL: https://doi.org/10.1137/070708044

zbMATH Keywords

numerical experiments Hardy spaces transparent boundary conditions Helmholtz equation radiation conditions infinite elements pole condition superalgebraic convergence

Mathematics Subject Classification ID

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) Diffraction, scattering (78A45) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Waves and radiation in optics and electromagnetic theory (78A40) Resonance in context of PDEs (35B34) Variational methods for second-order elliptic equations (35J20)

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