dc.contributor.author | Christodoulou, Evgenia | en |
dc.contributor.author | Elliotis, Miltiades C. | en |
dc.contributor.author | Georgiou, Georgios C. | en |
dc.contributor.author | Xenophontos, Christos A. | en |
dc.creator | Christodoulou, Evgenia | en |
dc.creator | Elliotis, Miltiades C. | en |
dc.creator | Georgiou, Georgios C. | en |
dc.creator | Xenophontos, Christos A. | en |
dc.date.accessioned | 2019-12-02T10:34:24Z | |
dc.date.available | 2019-12-02T10:34:24Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 0749-159X | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56626 | |
dc.description.abstract | In this article, we analyze the singular function boundary integral method (SFBIM) for a two-dimensional biharmonic problem with one boundary singularity, as a model for the Newtonian stick-slip flow problem. In the SFBIM, the leading terms of the local asymptotic solution expansion near the singular point are used to approximate the solution, and the Dirichlet boundary conditions are weakly enforced by means of Lagrange multiplier functions. By means of Green's theorem, the resulting discretized equations are posed and solved on the boundary of the domain, away from the point where the singularity arises. We analyze the convergence of the method and prove that the coefficients in the local asymptotic expansion, also referred to as stress intensity factors, are approximated at an exponential rate as the number of the employed expansion terms is increased. Our theoretical results are illustrated through a numerical experiment. Copyright © 2011 Wiley Periodicals, Inc. | en |
dc.source | Numerical Methods for Partial Differential Equations | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84858075722&doi=10.1002%2fnum.20654&partnerID=40&md5=e0d3f66634a15d6c6b385dc0c1d3707b | |
dc.subject | Approximation theory | en |
dc.subject | Boundary conditions | en |
dc.subject | Lagrange multipliers | en |
dc.subject | Numerical experiments | en |
dc.subject | Singular points | en |
dc.subject | Theoretical result | en |
dc.subject | Dirichlet boundary condition | en |
dc.subject | Slip forming | en |
dc.subject | Asymptotic analysis | en |
dc.subject | biharmonic problem | en |
dc.subject | boundary approximation methods | en |
dc.subject | Boundary singularities | en |
dc.subject | Discretized equations | en |
dc.subject | Exponential rates | en |
dc.subject | Flow problems | en |
dc.subject | Green's theorem | en |
dc.subject | Lagrange | en |
dc.subject | Leading terms | en |
dc.subject | Local asymptotic | en |
dc.subject | Multiplier functions | en |
dc.subject | Newtonians | en |
dc.subject | Singular function boundary integral methods | en |
dc.subject | Stress intensity | en |
dc.subject | stress intensity factors | en |
dc.title | Analysis of the singular function boundary integral method for a biharmonic problem with one boundary singularity | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1002/num.20654 | |
dc.description.volume | 28 | |
dc.description.issue | 3 | |
dc.description.startingpage | 749 | |
dc.description.endingpage | 767 | |
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 :3</p> | en |
dc.source.abbreviation | Numer Methods Partial Differential Equations | en |
dc.contributor.orcid | Xenophontos, Christos A. [0000-0003-0862-3977] | |
dc.contributor.orcid | Elliotis, Miltiades C. [0000-0002-7671-2843] | |
dc.contributor.orcid | Georgiou, Georgios C. [0000-0002-7451-224X] | |
dc.gnosis.orcid | 0000-0003-0862-3977 | |
dc.gnosis.orcid | 0000-0002-7671-2843 | |
dc.gnosis.orcid | 0000-0002-7451-224X | |