Efficient evaluation of integrals in three-dimensional boundary element method using linear shape functions over plane triangular elements

DOI10.1016/0307-904X(92)90046-6zbMath0767.65006MaRDI QIDQ1208812

Dinshaw N. Contractor, Rajesh K. Srivastava

Publication date: 16 May 1993

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

numerical integrationboundary element methodbiharmonic equationGaussian quadraturethree-dimensionaltriangular elementssingular casenearly singular case

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Dynamic simulation of three-dimensional heat conduction through cylindrical inclusions using a BEM model formulated in the frequency domain ⋮ Boundary element method simulation of 3D heat diffusion in defective layered media for IRT building applications ⋮ A study of three-dimensional edge and corner problems using the nebem solver ⋮ Closed form integration of singular and hypersingular integrals in 3D BEM formulations for heat conduction ⋮ Analytical integrations of hypersingular kernel in 3D BEM problems

Cites Work

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• Solution of radiation problems by collocation of integral formulations in terms of single and double layer potentials
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• Isoparametric, finite element, variational solution of integral equations for three-dimensional fields
• An advanced boundary integral equation method for three-dimensional thermoelasticity

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