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    STUDIA MATHEMATICA - Issue no. 4 / 2006  
         
  Article:   ON SUPERCONVERGENT SPLINE COLLOCATION METHODS FOR THE RADIOSITY EQUATION.

Authors:  SANDA MICULA.
 
       
         
  Abstract:  In this paper we study collocation methods based on piecewise polynomial interpolation for the radiosity equation. We give a brief outline of this equation and its properties. With a special choice of interior nodes, we show that interpolation of degree r of the solution leads to an error in the collocation method of O (hr+1), where h is the mesh size of the triangulation. We conclude the paper by giving superconvergence results, considering separately the case where r is odd and the case where r is even.  
         
     
         
         
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