A boundary element method for the solution of the transient diffusion equation in two dimensions

DOI10.1016/0307-904X(86)90080-6zbMath0616.65116MaRDI QIDQ1821534

Yanyan Li

Publication date: 1986

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

zbMATH Keywords

Green's functionboundary element methodpotential methodtransient diffusion equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

A REFINEMENT OF THE BOUNDARY ELEMENT COLLOCATION METHOD NEAR THE BOUNDARY OF A TWO-DIMENSIONAL DOMAIN USING SEMIANALYTIC APPROXIMATION OF THE DOUBLE LAYER HEAT POTENTIAL, An algorithm for handling corners in the boundary element method: Application to conduction-convection equations, Modelling the motion of clusters of cells in a viscous fluid using the boundary integral method, On the convergence of boundary element methods for initial-Neumann problems for the heat equation

Cites Work

• Numerical implementation of the boundary element method for two dimensional transient scalar wave propagation problems
• Formulation of the boundary element method for transient problems governed by the scalar wave equation
• A direct formulation and numerical solution of the general transient elastodynamic problem I
• A direct formulation and numerical solution of the general transient elastodynamic problem. II
• The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
• Dynamic stress concentration studies by boundary integrals and Laplace transform
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