A local iteration scheme for nonlinear two-dimensional steady-state heat conduction: A BEM approach

DOI10.1016/0307-904X(93)90075-RzbMath0803.65108OpenAlexW2085154567MaRDI QIDQ1323708

Cho Lik Chan

Publication date: 1 June 1994

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

Full work available at URL: https://doi.org/10.1016/0307-904x(93)90075-r

zbMATH Keywords

numerical resultsradiationboundary element methodheat transferLaplace equationnonlinear boundary conditionsmatrix equationheat conduction equationKirchoff's transformationlocal iterative scheme

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for linear elliptic equations (35J65) Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

Isogeometric and NURBS-enhanced boundary element formulations for steady-state heat conduction with volumetric heat source and nonlinear boundary conditions ⋮ Transient evaporative laser-cutting with boundary element method ⋮ Boundary element method in evaporative laser cutting

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• On the efficiency and accuracy of the boundary element method and the finite element method
• SOLVING NONLINEAR STEADY-STATE POTENTIAL PROBLEMS IN INHOMOGENOUS BODIES USING THE BOUNDARY-ELEMENT METHOD
• BOUNDARY ELEMENT APPROACH FOR TRANSIENT AND NONLINEAR THERMAL DIFFUSION
• Non-linear heat conduction in composite bodies: A boundary element formulation

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