A fast collocation method for the radiosity equation, based on the hierarchical algorithm of Hanrahan and Salzman: the 1D case

DOI10.1007/s10444-003-3962-7zbMath1072.65165OpenAlexW2055173130MaRDI QIDQ1774028

Olaf Hansen

Publication date: 29 April 2005

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-003-3962-7

zbMATH Keywords

numerical examplesorder of convergencehierarchical methodmodified collocation method with piecewise constant trial functionsplanar radiosity equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Complexity and performance of numerical algorithms (65Y20)

Uses Software

• ARVO

Cites Work

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• On the fast matrix multiplication in the boundary element method by panel clustering
• Numerical analysis of the radiosity equation using the collocation method
• A wavelet algorithm for the solution of the double layer potential equation over polygonal boundaries
• The Local Behavior of the Solution of the Radiosity Equation at the Vertices of Polyhedral Domains in $\rz^3$
• Radiosity in Flatland
• The Numerical Solution of Integral Equations of the Second Kind
• The planar radiosity equation and its numerical solution

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