Name
Title | ||
|---|---|---|
A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. |
Abstract | ||
|---|---|---|
We solve the Dirichlet and mixed Dirichlet-Neumann boundary value problems for the variable coefficient Cauchy-Navier equations of elasticity in a square using a Legendre spectral Galerkin method. The resulting linear system is solved by the preconditioned conjugate gradient (PCG) method with a preconditioner which is shown to be spectrally equivalent to the matrix of the resulting linear system. Numerical tests demonstrating the convergence properties of the scheme and PCG are presented. |
Year | DOI | Venue |
|---|---|---|
2018 | https://doi.org/10.1007/s11075-017-0325-x | Numerical Algorithms |
Keywords | Field | DocType |
Cauchy-Navier equations,Legendre polynomials,Spectral methods,Matrix decomposition algorithm,Preconditioned conjugate gradient method,Primary 65N35,Secondary 65N22,65F08 | Conjugate gradient method,Boundary value problem,Mathematical optimization,Preconditioner,Mathematical analysis,Galerkin method,Legendre polynomials,Spectral method,Mathematics,Spectral element method,Conjugate residual method | Journal |
Volume | Issue | ISSN |
77 | 2 | 1017-1398 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bernard Bialecki | 1 | 114 | 18.61 |
| Andreas Karageorghis | 2 | 204 | 47.54 |