dc.contributor.author | Georgiou, Georgios C. | en |
dc.contributor.author | Olson, L. | en |
dc.contributor.author | Smyrlis, Yiorgos-Sokratis | en |
dc.creator | Georgiou, Georgios C. | en |
dc.creator | Olson, L. | en |
dc.creator | Smyrlis, Yiorgos-Sokratis | en |
dc.date.accessioned | 2019-12-02T10:35:17Z | |
dc.date.available | 2019-12-02T10:35:17Z | |
dc.date.issued | 1996 | |
dc.identifier.issn | 1069-8299 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56862 | |
dc.description.abstract | The authors present a new singular function boundary integral method for the numerical solution of problems with singularities which is based on approximation of the solution by the leading terms of the local asymptotic expansion. The essential boundary conditions are weakly enforced by means of appropriate Lagrange multipliers. The method is applied to a benchmark Laplace-equation problem, the Motz problem, giving extremely accurate estimates for the leading singular coefficients. The method converges exponentially with the number of singular functions and requires a low computational cost. Comparisons are made to the analytical solution and other numerical methods. | en |
dc.source | Communications in Numerical Methods in Engineering | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0030082646&partnerID=40&md5=f5e13b8eb615f94189339641855e49cc | |
dc.subject | Problem solving | en |
dc.subject | Estimation | en |
dc.subject | Approximation theory | en |
dc.subject | Integral equations | en |
dc.subject | Functions | en |
dc.subject | Convergence of numerical methods | en |
dc.subject | Numerical methods | en |
dc.subject | Boundary conditions | en |
dc.subject | Lagrange multipliers | en |
dc.subject | Laplace transforms | en |
dc.subject | Laplace equation | en |
dc.subject | Singularities | en |
dc.subject | Singular functions | en |
dc.subject | Boundary integral method | en |
dc.subject | Local asymptotic expansion | en |
dc.subject | Motz problem | en |
dc.title | A singular function boundary integral method for the laplace equation | en |
dc.type | info:eu-repo/semantics/article | |
dc.description.volume | 12 | |
dc.description.issue | 2 | |
dc.description.startingpage | 127 | |
dc.description.endingpage | 134 | |
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 :33</p> | en |
dc.source.abbreviation | Commun.Numer.Methods Eng. | en |
dc.contributor.orcid | Smyrlis, Yiorgos-Sokratis [0000-0001-9126-2441] | |
dc.contributor.orcid | Georgiou, Georgios C. [0000-0002-7451-224X] | |
dc.gnosis.orcid | 0000-0001-9126-2441 | |
dc.gnosis.orcid | 0000-0002-7451-224X | |