Multidimensional numerical integration for meshless BEM.

DOI10.1016/S0955-7997(02)00112-1zbMath1033.65109MaRDI QIDQ1412685

Yoshihiro Ochiai

Publication date: 25 November 2003

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

numerical examplesboundary integral equationsBoundary element methodmultidimensional numerical integrationmeshless methodinternal heat generationHeat conductionHarmonic functionthermal stress analysisinelastic problemsmultidimensional interpolation methodMultiple-reciprocity method

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Thermodynamics in solid mechanics (74A15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (14)

Calculation of singular integrals on elements of three-dimensional problems by triple-reciprocity boundary element method ⋮ Meshless thermo‐elastoplastic analysis by triple‐reciprocity boundary element method ⋮ Three-dimensional heat conduction analysis of inhomogeneous materials by triple-reciprocity boundary element method ⋮ Boundary element analysis of nonlinear transient heat conduction problems involving non-homogenous and nonlinear heat sources using time-dependent fundamental solutions ⋮ Three-dimensional thermo-elastoplastic analysis by triple-reciprocity boundary element method ⋮ Meshless convection-diffusion analysis by triple-reciprocity boundary element method ⋮ Three-dimensional unsteady heat conduction analysis by triple-reciprocity boundary element method ⋮ Transient heat conduction analysis by triple-reciprocity boundary element method ⋮ Numerical integration to obtain moment of inertia of nonhomogeneous material ⋮ Axisymmetric numerical integration by boundary element method ⋮ Three-dimensional elastoplastic analysis by triple-reciprocity boundary element method ⋮ Boundary integral equation supported differential quadrature method to solve problems over general irregular geometries ⋮ Two-dimensional steady heat conduction in functionally gradient materials by triple-reciprocity boundary element method ⋮ Axial symmetric stationary thermoelastic analysis by triple-reciprocity BEM

Cites Work

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• Improved method generating a free-form surface using integral equations
• Initial strain formulation without internal cells for elastoplastic analysis by triple-reciprocity BEM
• Multidimensional interpolation and numerical integration by boundary element method

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