Features of a time-dependent fundamental solution in the Green element method

DOI10.1016/S0307-904X(02)00096-3zbMath1048.65098OpenAlexW2039359704MaRDI QIDQ1433676

Akpofure E. Taigbenu

Publication date: 1 July 2004

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

Full work available at URL: https://doi.org/10.1016/s0307-904x(02)00096-3

zbMATH Keywords

numerical examplesboundary element methodheat transfernumerical stabilityGreen element methodtime-dependent fundamental solutioncontaminant transport problemslinear diffusion differential operator

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Green element calculations of nonlinear heat conduction with a time-dependent fundamental solution

Cites Work

• Green element simulations of the transient nonlinear unsaturated flow equation
• Three Green element models for the diffusion-advection equation and their stability characteristics
• Green's function-based integral approaches to linear transient boundary-value problems and their stability characteristics. I
• Fundamental solutions and numerical methods for flow problems
• An integral formulation applied to the diffusion and Boussinesq equations
• An analysis of solidification problems by the boundary element method
• Application of the boundary element method to transient heat conduction
• The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems
• The green element method
• A method of solution for certain problems of transient heat conduction

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