ON SUPERCONVERGENT SPLINE COLLOCATION METHODS FOR THE RADIOSITY EQUATION

摘要: In this paper we study collocation methods based on piecewise polynomial interpolation for the radiosity equation. We give a brief outline of equation and its properties. With special choice interior nodes, show that degree r solution leads to an error in method O h r+1 , where is mesh size triangulation. conclude by giving superconvergence results, considering separately case odd even. 1. The Radiosity describing illumination detailed analysis light reflections o diuse surfaces. It typically used render images buildings. computer graphics, computation lighting can be done via radiosity. 1.1. Definition. Properties defined as being energy per unit solid angle leaves sur- face. mathematical model brightness collection one or more