dc.contributor.author | Elliotis, Miltiades C. | en |
dc.contributor.author | Georgiou, Georgios C. | en |
dc.contributor.author | Xenophontos, Christos A. | en |
dc.creator | Elliotis, Miltiades C. | en |
dc.creator | Georgiou, Georgios C. | en |
dc.creator | Xenophontos, Christos A. | en |
dc.date.accessioned | 2019-12-02T10:34:58Z | |
dc.date.available | 2019-12-02T10:34:58Z | |
dc.date.issued | 2005 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56778 | |
dc.description.abstract | A singular function boundary integral method (SFBIM) is proposed for solving biharmonic problems with boundary singularities. The method is applied to the Newtonian stick-slip flow problem. The streamfunction is approximated by the leading terms of the local asymptotic solution expansion which are also used to weight the governing biharmonic equation in the Galerkin sense. By means of the divergence theorem the discretized equations are reduced to boundary integrals. The Dirichlet boundary conditions are weakly enforced by means of Lagrange multipliers, the values of which are calculated together with the singular coefficients. The method converges very fast with the number of singular functions and the number of Lagrange multipliers, and accurate estimates of the leading singular coefficients are obtained. Comparisons with the analytical solution and results obtained with other numerical methods are also made. Copyright © 2005 John Wiley & Sons, Ltd. | en |
dc.source | International Journal for Numerical Methods in Fluids | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-22244439246&doi=10.1002%2ffld.973&partnerID=40&md5=f6235945ac4f6b6d012653c17f96ee37 | |
dc.subject | Problem solving | en |
dc.subject | Computational methods | en |
dc.subject | Approximation theory | en |
dc.subject | Theorem proving | en |
dc.subject | Newtonian liquids | en |
dc.subject | Galerkin methods | en |
dc.subject | Stokes flow | en |
dc.subject | Lagrange multipliers | en |
dc.subject | Harmonic analysis | en |
dc.subject | Boundary element method | en |
dc.subject | Biharmonic equation | en |
dc.subject | Singular coefficients | en |
dc.subject | Boundary singularity | en |
dc.subject | Dirichlet boundary | en |
dc.subject | mathematical method | en |
dc.subject | Newtonian stick-slip problem | en |
dc.subject | Singular function boundary integral method (SFBIM) | en |
dc.subject | stick slip friction | en |
dc.subject | Stick-slip problem | en |
dc.title | Solution of the planar Newtonian stick-slip problem with the singular function boundary integral method | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1002/fld.973 | |
dc.description.volume | 48 | |
dc.description.issue | 9 | |
dc.description.startingpage | 1001 | |
dc.description.endingpage | 1021 | |
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 :17</p> | en |
dc.source.abbreviation | Int.J.Numer.Methods Fluids | 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 | |