An iterative method for the boundary element solution of the exterior acoustic problem

DOI10.1016/0377-0427(87)90128-2zbMath0641.65082OpenAlexW2095069081MaRDI QIDQ1100866

B. George

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90128-2

zbMATH Keywords

boundary element methoditerative methodHelmholtz equationdouble layer potentialexterior Neumann problemsingle layer potential

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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An iterative solution strategy for boundary element equations from mixed boundary value problems, Helmholtz equation for a Neumann condition on a curved boundary: spurious resonances, Performance of iterative solvers for acoustic problems. I: Solvers and effect of diagonal preconditioning., CAT'S EYE RADIATION WITH BOUNDARY ELEMENTS: COMPARATIVE STUDY ON TREATMENT OF IRREGULAR FREQUENCIES, CAT'S EYE RADIATION WITH BOUNDARY ELEMENTS: COMPARATIVE STUDY ON TREATMENT OF IRREGULAR FREQUENCIES, A comparison between various boundary integral formulations of the exterior acoustic problem, FAST MULTIPOLE BOUNDARY ELEMENT METHOD FOR LOW-FREQUENCY ACOUSTIC PROBLEMS BASED ON A VARIETY OF FORMULATIONS

Cites Work

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• On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
• An investigation of boundary element methods for the exterior acoustic problem
• A proof for the Burton and Miller integral equation approach for the Helmholtz equation
• Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart \& Winston, Inc.
• Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
• Zur Dirichletschen Randwertaufgabe des Außenraumes der Schwingungsgleichung
• On calculation of sound fields around three dimensional objects by integral equation methods
• Multiple Grid Methods for the Solution of Fredholm Integral Equations of the Second Kind
• Condition number of matrices derived from two classes of integral equations
• Numerical integration on the sphere
• On the exterior problems of acoustics: II
• Boundary integral solutions of three dimensional acoustic radiation problems
• INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM
• A Method for Solving Large Matrix Equations Reduced From Fredholm Integral Equations of the Second Kind
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation