Solving transient diffusion problems: Time-dependent fundamental solution approaches versus LTDRM approaches

DOI10.1016/S0955-7997(97)00102-1zbMath0979.76525OpenAlexW1994706370MaRDI QIDQ1961535

Song-Ping Zhu

Publication date: 10 February 2002

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

Full work available at URL: https://doi.org/10.1016/s0955-7997(97)00102-1

Mathematics Subject Classification ID

Diffusion (76R50) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items (6)

Singular boundary method using time-dependent fundamental solution for transient diffusion problems ⋮ A new algorithm for direct and backward problems of heat conduction equation ⋮ Application of the Laplace transform dual reciprocity boundary element method in the modelling of laser heat treatments ⋮ Time-dependent fundamental solutions for homogeneous diffusion problems ⋮ Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation ⋮ The method of fundamental solutions with eigenfunctions expansion method for 3D nonhomogeneous diffusion equations

Cites Work

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• The dual reciprocity boundary element formulation for nonlinear diffusion problems
• An application of the LTDRM to transient diffusion problems with nonlinear material properties and nonlinear boundary conditions
• A DRBEM model for microwave heating problems
• An efficient computational method for modelling transient heat conduction with nonlinear source terms
• Computer implementation of the BEM dual reciprocity method for the solution of general field equations
• A method of solution for certain problems of transient heat conduction

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