Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods

DOI10.1080/00207160.2012.667087zbMath1255.65069OpenAlexW2082774164WikidataQ115315213 ScholiaQ115315213MaRDI QIDQ4903503

M. A. AL-Jawary, Luiz C. Wrobel

Publication date: 22 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: http://bura.brunel.ac.uk/handle/2438/9086

zbMATH Keywords

Helmholtz equationboundary integral equation methodparametrixvariable coefficientsradial integration methodboundary integro-differential equation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (6)

Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients ⋮ Numerical solution of scalar wave equation by the modified radial integration boundary element method ⋮ Implementation of a generalized exponential basis functions method for linear and non‐linear problems ⋮ Fast boundary-domain integral method for unsteady convection-diffusion equation with variable diffusivity using the modified Helmholtz fundamental solution ⋮ Application of the radial integration method for the buckling analysis of plates with shear deformation ⋮ A new radial basis integration method applied to the boundary element analysis of 2D scalar wave equations

Uses Software

• SERBA

Cites Work

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• Numerical solution of two-dimensional mixed problems with variable coefficients by the boundary-domain integral and integro-differential equation methods
• A comparative study of the boundary and finite element methods for the Helmholtz equation in two dimensions
• Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem
• Radial integration boundary integral and integro-differential equation methods for two-dimensional heat conduction problems with variable coefficients
• Dual reciprocity boundary element method solution of the Cauchy problem for Helmholtz-type equations with variable coefficients
• A meshless BEM for isotropic heat conduction problems with heat generation and spatially varying conductivity
• A Boundary Element Method Without Internal Cells for Two-Dimensional and Three-Dimensional Elastoplastic Problems

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