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Coupling techniques in boundary-combined methods for solving elliptic problems with singularities
Authors:Z C Li  T D Bui  
Affiliation:

a Centre de Recherche Informatique de Montréal Inc., 3744 Jean-Brilliant, No. 500, Montréal, Québec, Canada H3T 1P1

b Department of Computer Science, Concordia University, 1455 de MaisonneuveBlvd West, Montréal, Quebec, Canada H3G 1M8

Abstract:Three coupling strategies in matching the Ritz-Galerkin method and the finite element method are introduced for general elliptic equations, and useful numerical techniques are provided. Numerical experiments have been carried out for solving the typical, singular Motz problem, which shows that optimal convergence rates of numerical solutions can be achieved by using the combined methods and techniques provided in this paper.
Keywords:Boundary element method  Ritz-Galerkin method  elliptic problems
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