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| Title: | Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks |
| Authors: | Chkadua, O
Mikhailov, SE
Natroshvili, D |
| Keywords: | Boundary-domain integral equations
Partial differential equation
Variable coefficients |
| Publication Date: | 2011 |
| Publisher: | Wiley-Blackwell |
| Citation: | Numerical Methods for Partial Differential Equations 27(1): 121 - 140, Jan 2011 |
| Abstract: | Segregated 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. |
| Description: | This is the pre-print version of the article. The official published version can be obtained from the link below - Copyright @ 2011 Wiley-Blackwell |
| Sponsorship: | This 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. |
| URI: | http://bura.brunel.ac.uk/handle/2438/5912 |
| DOI: | http://dx.doi.org/10.1002/num.20639 |
| ISSN: | 1098-2426 |
| Appears in Collections: | Mathematics
School of Information Systems, Computing and Mathematics Research Papers
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