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Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks

✍ Scribed by O. Chkadua; S.E. Mikhailov; D. Natroshvili

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 171 KB
Volume: 27
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.20639

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✦ Synopsis

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. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010

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