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 | 2019-12-02T10:34:01Z | |
dc.date.available | 2019-12-02T10:34:01Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 1064-8275 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56530 | |
dc.description.abstract | This paper is concerned with the spectral Chebyshev collocation solution of the Dirichlet problems for the Poisson and biharmonic equations in a square. The collocation schemes are solved at a cost of 2N3 + O(N2 logN) operations using an appropriate set of basis functions, a matrix diagonalization algorithm, and fast Fourier transforms. For the biharmonic problem, the resulting Schur complement system is solved by a preconditioned biconjugate gradient method. An application of the Poisson spectral preconditioner is discussed for the solution of a variable coefficient spectral problem. Numerical results confirm the efficiency of the proposed algorithms and the spectral and polynomial accuracy of the collocation schemes for smooth and singular solutions, respectively. © 2010 Society for Industrial and Applied Mathematics. | en |
dc.source | SIAM Journal on Scientific Computing | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-78149325329&doi=10.1137%2f100782516&partnerID=40&md5=c18b2dbe04cb8f3f3db25942aa2375d8 | |
dc.subject | Chebyshev polynomials | en |
dc.subject | Poisson and biharmonic equations | en |
dc.subject | Spectral collocation | en |
dc.title | Spectral Chebyshev collocation for the poisson and biharmonic equations | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1137/100782516 | |
dc.description.volume | 32 | |
dc.description.issue | 5 | |
dc.description.startingpage | 2995 | |
dc.description.endingpage | 3019 | |
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>Cited By :1</p> | en |
dc.source.abbreviation | Siam J.Sci.Comput. | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 | |