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

DOI10.1016/S0955-7997(03)00071-7zbMath1061.80008MaRDI QIDQ597579

Akpofure E. Taigbenu

Publication date: 6 August 2004

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

zbMATH Keywords

linearizationNewton-Raphson algorithmpolygonal elementstime stepping

Mathematics Subject Classification ID

Related Items (5)

The MFS as a basis for the PIM or the HAM -- comparison of numerical methods ⋮ A graph-theoretic-based method for analyzing conduction problems ⋮ The flux-correct Green element formulation for linear, nonlinear heat transport in heterogeneous media ⋮ Heat transfer -- a review of 2004 literature ⋮ 2D internal flux compatibility equation of the flux Green element method for transient nonlinear potential problems

Cites Work

• A boundary integral equation method for nonlinear heat conduction problems with temperature-dependent material properties
• Green's function-based integral approaches to nonlinear transient boundary-value problems. II
• Features of a time-dependent fundamental solution in the Green element method
• Three Green element models for the diffusion-advection equation and their stability characteristics
• A fast implementation of explicit time-stepping algorithms with the finite element method for a class of nonlinear evolution problems
• Analysis of the collocation time finite element method for the non-linear heat transfer equation
• Efficient method for solution of nonlinear heat conduction problems
• The green element method

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