Abstract | ||
---|---|---|
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. |
Year | DOI | Venue |
---|---|---|
2006 | 10.1007/s11075-006-9045-3 | Numerical Algorithms |
Keywords | Field | DocType |
method of fundamental solutions,Cauchy–Navier system,matrix decomposition algorithm,fast Fourier transform,circulant matrices,Primary 35J55,35E05,65N35,Secondary 65N38,65F30,65T50 | Singular value decomposition,Mathematical optimization,Eight-point algorithm,Mathematical analysis,Matrix decomposition,Algorithm,Dirichlet boundary condition,Method of fundamental solutions,Linear elasticity,LU decomposition,Mathematics,Cholesky decomposition | Journal |
Volume | Issue | ISSN |
43 | 2 | 1017-1398 |
Citations | PageRank | References |
4 | 0.64 | 3 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Andreas Karageorghis | 1 | 204 | 47.54 |
Yiorgos Sokratis Smyrlis | 2 | 4 | 1.32 |
Th. Tsangaris | 3 | 7 | 1.24 |