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dc.contributor.authorChkadua, O-
dc.contributor.authorMikhailov, SE-
dc.contributor.authorNatroshvili, D-
dc.identifier.citationNumerical Methods for Partial Differential Equations 27(1): 121 - 140, Jan 2011en_US
dc.descriptionThis is the pre-print version of the article. The official published version can be obtained from the link below - Copyright @ 2011 Wiley-Blackwellen_US
dc.description.abstractSegregated direct boundary-domain integral equation (BDIE) systems associated with mixed, Dirichlet and Neumann boundary value problems (BVPs) for a scalar “Laplace” PDE with variable coefficient are formulated and analyzed for domains with interior cuts (cracks). The main results established in the paper are the BDIE equivalence to the original BVPs and invertibility of the BDIE operators in the corresponding Sobolev spaces.en_US
dc.description.sponsorshipThis work was supported by the International Joint Project Grant - 2005/R4 ”Boundary- Domain Integral Equations: Formulation, Analysis, Localisation” of the Royal Society, UK, and the grant ”Mathematical analysis of localised boundary-domain integral equations for BVPs with variable coefficients” of the EPSRC, UK.en_US
dc.subjectBoundary-domain integral equationsen_US
dc.subjectPartial differential equationen_US
dc.subjectVariable coefficientsen_US
dc.titleAnalysis of segregated boundary-domain integral equations for variable-coefficient problems with cracksen_US
dc.typeResearch Paperen_US
pubs.organisational-data/Brunel/Brunel (Active)-
pubs.organisational-data/Brunel/Brunel (Active)/School of Info. Systems, Comp & Maths-
pubs.organisational-data/Brunel/Research Centres (RG)-
pubs.organisational-data/Brunel/Research Centres (RG)/BICOM-
pubs.organisational-data/Brunel/School of Information Systems, Computing and Mathematics (RG)-
pubs.organisational-data/Brunel/School of Information Systems, Computing and Mathematics (RG)/BICOM-
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Mathematical Sciences

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