dc.contributor.author | Karageorghis, Andreas | en |
dc.creator | Karageorghis, Andreas | en |
dc.date.accessioned | 2019-12-02T10:35:55Z | |
dc.date.available | 2019-12-02T10:35:55Z | |
dc.date.issued | 2011 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57014 | |
dc.description.abstract | In this work we develop an efficient algorithm for the application of the method of fundamental solutions to inhomogeneous polyharmonic problems, that is problems governed by equations of the form Δ ℓ u=f, ℓ ε ℕ, in circular geometries. Following the ideas of Alves and Chen (Adv. Comput. Math. 23:125-142, 2005), the right hand side of the equation in question is approximated by a linear combination of fundamental solutions of the Helmholtz equation. A particular solution of the inhomogeneous equation is then easily obtained from this approximation and the resulting homogeneous problem in the method of particular solutions is subsequently solved using the method of fundamental solutions. The fact that both the problem of approximating the right hand side and the homogeneous boundary value problem are performed in a circular geometry, makes it possible to develop efficient matrix decomposition algorithms with fast Fourier transforms for their solution. The efficacy of the method is demonstrated on several test problems. © 2010 Springer Science+Business Media, LLC. | en |
dc.source | Journal of Scientific Computing | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-79751536355&doi=10.1007%2fs10915-010-9418-6&partnerID=40&md5=20401457eda0885b729d3c41e10e1cf1 | |
dc.subject | Algorithms | en |
dc.subject | Mathematical transformations | en |
dc.subject | Linear combinations | en |
dc.subject | Method of fundamental solutions | en |
dc.subject | Fast Fourier transforms | en |
dc.subject | Matrix decomposition | en |
dc.subject | Helmholtz equation | en |
dc.subject | Test problem | en |
dc.subject | Fundamental solutions | en |
dc.subject | Method of particular solution | en |
dc.subject | Circulant matrices | en |
dc.subject | Circulant matrix | en |
dc.subject | Circular geometry | en |
dc.subject | Efficient algorithm | en |
dc.subject | IS problems | en |
dc.subject | Particular solution | en |
dc.subject | Polyharmonic equations | en |
dc.subject | Right-hand sides | en |
dc.title | Efficient MFS algorithms for inhomogeneous polyharmonic problems | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s10915-010-9418-6 | |
dc.description.volume | 46 | |
dc.description.issue | 3 | |
dc.description.startingpage | 519 | |
dc.description.endingpage | 541 | |
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 :6</p> | en |
dc.source.abbreviation | J.Sci.Comput. | en |
dc.contributor.orcid | Karageorghis, Andreas [0000-0002-8399-6880] | |
dc.gnosis.orcid | 0000-0002-8399-6880 | |