A New Approximation Method for the Helmholtz Equation in an Exterior Domain

DOI10.1137/0719065zbMath0494.65067OpenAlexW2071948597MaRDI QIDQ3957889

A. Kadir Aziz, R. Bruce Kellogg, Milo R. Dorr

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1137/0719065

zbMATH Keywords

Helmholtz equationelectromagnetic scatteringscattering problemreduced wave equationquasi-optimal error estimatediscrete bilinear formexterior bounded domainssingle and double layer potential

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05)

Related Items

A direct boundary integral equation method for transmission problems, A boundary parametric approximation to the linearized scalar potential magnetostatic field problem, Solution of the exterior boundary value problem for the Helmholtz equation using overlapping domain decomposition, Finding multiple solutions to elliptic PDE with nonlinear boundary conditions, The complexity of Fredholm equations of the second kind: noisy information about everything, A Survey of Trefftz Methods for the Helmholtz Equation, Application of He's homotopy perturbation method for multi‐dimensional fractional Helmholtz equation, Finite Element Analysis of a Scattering Problem, The Trefftz method for the Helmholtz equation with degeneracy, A combined method for solving elliptic problems on unbounded domains, Spectral methods for exterior elliptic problems, Singularities and treatments of elliptic boundary value problems.