Work

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

Year: 2010

Type: article

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

Source: Numerical Methods for Partial Differential Equations

DOI: 10.1002/num.20639

Authors: O. Chkadua, S.E. Mikhailov, D. Natroshvili

Institutions: Georgian National Academy of Sciences, Sokhumi State University, Brunel University of London, Tbilisi State University, Georgian Technical University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Award: G1927040151