Show simple item record

dc.contributor.authorKarageorghis, Andreasen
dc.contributor.authorLesnic, D.en
dc.contributor.authorMarin, L.en
dc.creatorKarageorghis, Andreasen
dc.creatorLesnic, D.en
dc.creatorMarin, L.en
dc.description.abstractSignorini problems model phenomena in which a known or unknown portion of the boundary is subjected to alternating Dirichlet and Neumann boundary conditions. In this paper, we apply the method of fundamental solutions (MFS) for the solution of two-dimensional both direct and inverse Signorini problems for the Laplace equation. In this meshless and integration-free method, the harmonic solution representing the steady-state temperature or the electric potential is approximated by a linear combination of non-singular fundamental solutions with sources located outside the closure of the solution domain. The unknown coefficients in this expansion, the points of separation of the Signorini boundary conditions and possibly the unknown Signorini boundary (in the inverse problem) are determined by imposing/collocating the boundary conditions which can be of Dirichlet, Neumann, Cauchy or Signorini type. This results in a constrained minimization problem which is solved using the MATLAB © toolbox routine fmincon. Several numerical examples involving both direct and inverse problems are presented and discussed in order to illustrate the accuracy and stability of the numerical method employed. © 2015 Elsevier Ltd. All rights reserved.en
dc.sourceComputers and Structuresen
dc.subjectNonlinear programmingen
dc.subjectInverse problemsen
dc.subjectElectric potentialen
dc.subjectBoundary conditionsen
dc.subjectInverse problemen
dc.subjectMethod of fundamental solutionsen
dc.subjectConstrained optimizationen
dc.subjectFundamental solutionsen
dc.subjectConstrained minimization problemen
dc.subjectDirichlet and Neumann boundary conditionsen
dc.subjectNon-linear optimizationen
dc.subjectNonlinear optimizationen
dc.subjectSignorini problemen
dc.subjectSteady-state temperatureen
dc.subjectUnknown coefficientsen
dc.titleThe method of fundamental solutions for solving direct and inverse Signorini problemsen
dc.description.endingpage19Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied SciencesΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.description.notes<p>Cited By :7</p>en
dc.contributor.orcidKarageorghis, Andreas [0000-0002-8399-6880]

Files in this item


There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record