Asymptotic Error Analysis for the Heat Radiation Boundary Integral Equation

Authors

  • Naji Ali Qatanani Department of Mathematics, Faculty of Science, An-Najah National University
  • Adnan Daraghmeh Department of Mathematics, Faculty of Science, An-Najah National University

Abstract

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 qausi-optimal error estimates are presented. Numerical results have shown to be consistent with available theoretical results.

Author Biographies

  • Naji Ali Qatanani, Department of Mathematics, Faculty of Science, An-Najah National University
    Professor of Applied Mathematics Dept. of Mathematics
  • Adnan Daraghmeh, Department of Mathematics, Faculty of Science, An-Najah National University
    Dept. of Mathematics

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Published

06-03-2013

Issue

Vol. 2 No. 1

Section

Articles