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Andreas Karageorghis
Researcher at University of Cyprus
Publications - 186
Citations - 4972
Andreas Karageorghis is an academic researcher from University of Cyprus. The author has contributed to research in topics: Method of fundamental solutions & Boundary value problem. The author has an hindex of 31, co-authored 182 publications receiving 4579 citations. Previous affiliations of Andreas Karageorghis include Colorado School of Mines & Southern Methodist University.
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The method of fundamental solutions for elliptic boundary value problems
TL;DR: Techniques by which MFS-type methods are extended to certain classes of non-trivial problems and adapted for the solution of inhomogeneous problems are outlined.
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The method of fundamental solutions for scattering and radiation problems
TL;DR: The development of the method of fundamental solutions (MFS) and related methods for the numerical solution of scattering and radiation problems in fluids and solids is described and reviewed in this paper, where a brief review of the developments and applications in all areas of the MFS over the last five years is also given.
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A survey of applications of the MFS to inverse problems
TL;DR: The method of fundamental solutions (MFS) is a relatively new method for the numerical solution of boundary value problems and initial/boundary value problems governed by certain partial differential equations as discussed by the authors.
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The method of fundamental solutions for the numerical solution of the biharmonic equation
TL;DR: The method of fundamental solutions (MFS) as discussed by the authors is a relatively new technique for the numerical solution of certain elliptic boundary value problems, and it falls in the class of methods generally called boundary methods, and is applicable when a fundamental solution of the differential equation is known.
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On choosing the location of the sources in the MFS
TL;DR: This work investigates the satisfactory location for the sources outside the closure of the domain of the problem under consideration by means of a leave-one-out cross validation algorithm and obtains locations of the sources which lead to highly accurate results, at a relatively low cost.