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|Title:||Localized boundary-domain integral formulations for problems with variable coefficients|
|Keywords:||Parametrix;Boundary-domain integral equation;Boundary-domain integro-differential equation;Decomposition;Boundary element method;Localization;Mesh-based algorithm;Meshless algorithm;Domain|
|Citation:||Engineering Analysis with Boundary Elements 26 (8): 681-690, Sep 2002|
|Abstract:||Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE). After discretization, this results in a sparsely populated system of linear algebraic equations, which can be solved by well-known efficient methods. This make the method competitive with the finite element method for such problems. Some methods of the parametrix localization are discussed and the corresponding LBDIEs and LBDIDEs are introduced. Both mesh-based and meshless algorithms for the localized equations discretization are described.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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