dc.contributor.author | Bialecki, B. | en |
dc.contributor.author | Karageorghis, Andreas | en |
dc.creator | Bialecki, B. | en |
dc.creator | Karageorghis, Andreas | en |
dc.date.accessioned | 2019-12-02T10:34:00Z | |
dc.date.available | 2019-12-02T10:34:00Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 1017-1398 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56527 | |
dc.description.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. © 2017 Springer Science+Business Media New York | en |
dc.source | Numerical Algorithms | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017419200&doi=10.1007%2fs11075-017-0325-x&partnerID=40&md5=93113e4f85194f3f82e49b13733f45f0 | |
dc.subject | Spectral methods | en |
dc.subject | Cauchy-Navier equations | en |
dc.subject | Legendre polynomials | en |
dc.subject | Matrix decomposition algorithm | en |
dc.subject | Preconditioned conjugate gradient method | en |
dc.title | A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s11075-017-0325-x | |
dc.description.startingpage | 1 | |
dc.description.endingpage | 26 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Article in Press</p> | en |
dc.source.abbreviation | Numer.Algorithms | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 | |