A matrix decomposition MFS algorithm for certain linear elasticity problems

We propose an efficient matrix decomposition Method of Fundamental Solutions algorithm for the solution of certain two-dimensional linear elasticity problems. In particular, we consider the solution of the Cauchy–Navier equations in circular domains subject to Dirichlet boundary conditions, that is...

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Bibliographic Details
Published inNumerical algorithms Vol. 43; no. 2; pp. 123 - 149
Main Authors Karageorghis, A., Smyrlis, Y. -S., Tsangaris, T.
Format Journal Article
LanguageEnglish
Published New York Springer Nature B.V 01.10.2006
Subjects
Algorithms
Boundary conditions
Decomposition
Dirichlet problem
Elasticity
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ISSN1017-1398
1572-9265
DOI10.1007/s11075-006-9045-3

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Summary:We propose an efficient matrix decomposition Method of Fundamental Solutions algorithm for the solution of certain two-dimensional linear elasticity problems. In particular, we consider the solution of the Cauchy–Navier equations in circular domains subject to Dirichlet boundary conditions, that is when the displacements are prescribed on the boundary. The proposed algorithm is extended to the case of annular domains. Numerical experiments for both types of problems are presented.
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ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-006-9045-3