The collocation method for solving the radiosity equation for unoccluded surfaces

DOI10.1216/jiea/1181074231zbMath0914.65137OpenAlexW2067316110MaRDI QIDQ1275264

Graeme Chandler, Kendall E. Atkinson

Publication date: 7 June 1999

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/JIE10-3/CONT10-3/CONT10-3.html

zbMATH Keywords

numerical resultssuperconvergencecomputer graphicsreflectivityemissivityradiosity equationLambertian diffuse reflectorpiecewise linear collocation methodsmooth and piecewise smooth surfacesunoccluded surfaces

Mathematics Subject Classification ID

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

Related Items

Analytical and numerical investigation of the Fredholm integral equation for the heat radiation problem ⋮ A spline collocation method for Fredholm-Hammerstein integral equations of the second kind in two variables ⋮ L^P solutions to the parameterized Fredholm integral equations associated with Chandrasekhar kernels ⋮ Trigonometric Hermite interpolation method for Fredholm linear integral equations ⋮ Fast collocation methods for high-dimensional weakly singular integral equations ⋮ The factorization method for a conductive boundary condition ⋮ Collocation methods for solving multivariable integral equations of the second kind ⋮ The radiosity equation on certain spaces of continuous functions and its numerical solutions ⋮ Preconditioned conjugate gradient method for three-dimensional non-convex enclosure geometries with diffuse and grey surfaces ⋮ A fast wavelet collocation method for integral equations on polygons ⋮ A meshless like method for the approximate solution of integral equations over polygons ⋮ The radiosity equation for solving global heat transfer in industrial furnaces ⋮ Approximate solution of multivariable integral equations of the second kind

Uses Software

• BIEPACK

Cites Work

• Numerical solution of periodic Fredholm integral equations of the second kind by means of attenuation factors
• Piecewise Continuous Collocation for Integral Equations
• Piecewise Polynomial Collocation for Boundary Integral Equations
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