The collocation method for solving the radiosity equation for unoccluded surfaces

Journal of Integral Equations and Applications

Volumn 10, Issue 3, 1998, Pages 253-290

  Atkinson, Kendall ^a   Chandler, Graeme ^b  

^a UNIVERSITY OF IOWA   (United States)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000416592     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181074231     Document Type: Article

References (11)

1. K. Atkinson, A survey of numerical methods for the solution of Fredholm integral equations of the second kind, SIAM Publications, Philadelphia, 1976.
2. K. Atkinson, A survey of boundary integral equation methods for the numerical solution of Laplace's equation in three dimensions, in Numerical solution of integral equations (M. Golberg, ed.), Plenum, New York, 1990.
3. K. Atkinson, User's guide to a boundary element package for solving integral equations on piecewise smooth surfaces, Reports on Computational Mathematics #43, Dept of Mathematics, University of Iowa, Iowa City. (This is available by anonymous ftp from math.uiowa.edu, under pub/atkinson/bie.package. Version#2 (1998 release) contains programs for the unoccluded radiosity equation.)
4. K. Atkinson, The numerical solution of Fredholm integral equations of the second kind, Cambridge University Press, Cambridge, 1997.
5. K. Atkinson and D. Chien, Piecewise polynomial collocation for boundary integral equations, SIAM J. Sci. Statist. Comput. 16 (1995), 651-681.
6. K. Atkinson, I. Graham, and I. Sloan, Piecewise continuous collocation for integral equations, SIAM J. Num. Anal. 20 (1983), 172-186.
7. S. Brenner and R. Scott, The mathematical theory of finite element methods, Springer-Verlag, New York, 1994.
8. M. Cohen and J. Wallace, Radiosity and realistic image synthesis, Academic Press, New York, 1993.
9. N. Günter, Potential theory, Ungar Pub. Co., New York, 1967. 10. S. Mikhlin, Mathematical physics: An advanced course, North-Holland, Amsterdam, 1970.
10. W. Pogorzelski, Integral equations and their applications, Vol. I, Pergamon Press, New York, 1966.
11. W. Wendland, Boundary element methods for elliptic problems, in Mathematical theory of finite and boundary element methods (A. Schatz, V. Thomeśe, and W. Wendland, eds.), Birkhäuser, Boston, 1990, 219-276.