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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/3377

Title: Localized boundary-domain integral formulations for problems with variable coefficients
Authors: Mikhailov, SE
Keywords: Parametrix
Boundary-domain integral equation
Boundary-domain integro-differential equation
Decomposition
Boundary element method
Localization
Mesh-based algorithm
Meshless algorithm
Domain
Publication Date: 2002
Publisher: Elsevier
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.
URI: http://www.elsevier.com/wps/find/journaldescription.cws_home/ 422920/description#description
http://bura.brunel.ac.uk/handle/2438/3377
Appears in Collections:Mathematics
School of Information Systems, Computing and Mathematics Research Papers

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