Asymptotic Error Analysis for the Heat Radiation Boundary Integral Equation

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Journal Title, Volume, Page: 
European Journal of Mathematical Sciences, Vol.2,No.1,2013,51-61
Year of Publication: 
2013
Authors: 
Naji Qatanani
Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine
Adnan Daraghmeh
Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine
Preferred Abstract (Original): 

In this paper a rigorous convergence and error analysis of the Galerkin boundary element method for the heat radiation integral equation in convex and non-convex enclosure geometries is presented. The convergence of the approximation is shown and quasi-optimal error estimates are presented. Numerical results have shown to be consistent with available theoretical results.

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