Least squares finite element formulation in the time domain for the dual reciprocity boundary element method in heat conduction

DOI10.1016/0045-7825(93)90195-4zbMath0782.73071OpenAlexW2088679925MaRDI QIDQ2366886

Yanyan Li

Publication date: 24 February 1994

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(93)90195-4

zbMATH Keywords

stabilityDirichlet boundary conditionsrecurrence relationsquadratic rate of convergenceGalerkin and Crank-Nicolson schemes

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Dual reciprocity boundary element analysis of nonlinear diffusion: Temporal discretization, A continued-fraction approach for transient diffusion in unbounded medium, The differential quadrature solution of nonlinear reaction-diffusion and wave equations using several time-integration schemes, Higher-order accurate least-squares methods for first-order initial value problems, Element-free Galerkin scaled boundary method based on moving Kriging interpolation for steady heat conduction analysis, Unnamed Item, Least-squares finite element schemes in the time domain, An operator splitting-radial basis function method for the solution of transient nonlinear Poisson problems

Cites Work

• On nonsingular boundary integral equations for crack problems
• On some boundary element methods for the heat equation
• The dual reciprocity boundary element formulation for nonlinear diffusion problems
• A boundary only procedure for time-dependent diffusion equations
• A boundary-only procedure for transient transport problems with or without first-order chemical reaction
• Solution of parabolic differential equations by the boundary element method using discretisation in time
• A formulation of the boundary element method for axisymmetric transient heat conduction
• Boundary element analysis of nonlinear transient heat conduction problems
• The use of fundamental Green's functions for the solution of problems of heat conduction in anisotropic media
• An efficient boundary element method for a class of parabolic differential equations using discretization in time
• Weighted residual solutions in the time domain
• Application of the boundary element method to transient heat conduction
• A method of solution for certain problems of transient heat conduction
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