Error analysis and preconditioning for an enhanced DtN-FE algorithm for exterior scattering problems

DOI10.1016/j.cam.2006.02.051zbMath1117.65146OpenAlexW2116264034MaRDI QIDQ883488

Leonid Chindelevitch, David P. Nicholls, Nilima Nigam

Publication date: 4 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.051

zbMATH Keywords

finite elementspreconditioningerror analysistransparent boundary conditionsHelmholtz equationelectromagneticsacousticsboundary perturbationsexterior scattering problembounded obstacle scattering

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) 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)

Related Items

High-order numerical solution of the Helmholtz equation for domains with reentrant corners, A stable high-order perturbation of surfaces method for numerical simulation of diffraction problems in triply layered media, Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis, A Dirichlet-to-Neumann finite element method for axisymmetric elastostatics in a semi-infinite domain, Efficient enforcement of far-field boundary conditions in the transformed field expansions method

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