A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients
Date
2017ISSN
1017-1398Source
Numerical AlgorithmsPages
1-26Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
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. © 2017 Springer Science+Business Media New York