Preconditioned conjugate gradient method for three-dimensional non-convex enclosure geometries with diffuse and grey surfaces

DOI10.1016/j.amc.2003.11.009zbMath1070.65107OpenAlexW2048615276MaRDI QIDQ706746

Monika Schulz, Naji A. Qatanani

Publication date: 9 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.11.009

zbMATH Keywords

algorithmnumerical exampleFredholm integral equationsboundary element methodpreconditioningconjugate gradient methodGalerkin schemeheat radiationnon-convex geometries

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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)

Analytical and numerical investigation of the Fredholm integral equation for the heat radiation problem

Cites Work

• The collocation method for solving the radiosity equation for unoccluded surfaces
• Iterative solution of large sparse systems of equations. Transl. from the German
• The heat radiation problem: three-dimensional analysis for arbitrary enclosure geometries
• The Local Behavior of the Solution of the Radiosity Equation at the Vertices of Polyhedral Domains in $\rz^3$
• The planar radiosity equation and its numerical solution
• The Numerical Solution of Fredholm integral Equations of the Second Kind
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