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Comparisons of fundamental solutions and particular solutions for Trefftz methods
Engineering Analysis with Boundary Elements, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zi-Cai +4 more
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The Method of Fundamental Solutions: A Weighted Least-Squares Approach
BIT Numerical Mathematics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Smyrlis, Yiorgos-Sokratis +1 more
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Solution of Grad–Shafranov equation by the method of fundamental solutions
Journal of Plasma Physics, 2014In this paper we have used the Method of Fundamental Solutions (MFS) to solve the Grad–Shafranov (GS) equation for the axisymmetric equilibria of tokamak plasmas with monomial sources. These monomials are the individual terms appearing on the right-hand side of the GS equation if one expands the nonlinear terms into polynomials.
D. Nath, M. S. Kalra
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The Method of Fundamental Solutions for the Solution of Nonlinear Plane Potential Problems
IMA Journal of Numerical Analysis, 1989Neben die Randelement-Methode (BEM) zur Lösung elliptischer Randwertprobleme ist in neuerer Zeit die Methode der Fundamental- Lösungen (MFS) getreten, die sich besonders eignet, wenn die Laplace- Gleichung mit nichtlinearen gemischten Randbedingungen zu lösen ist.
Karageorghis, Andreas +3 more
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Engineering Analysis with Boundary Elements, 2019
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Methods of Fundamental Solutions in Poroelasticity
2015Although single- and double-layer potentials can be used to reduce the dimension of a problem, this comes at the prize of having to deal with integrals over the boundary of a domain. Moreover, these boundary integrals are singular. In order to remove the singularity, we use an approach by Runge which shifts integration towards the boundary of a larger ...
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The method of fundamental solutions for Signorini problems
IMA Journal of Numerical Analysis, 1998285
Poullikkas, A. +5 more
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An implicit Method of Fundamental Solutions using twofold domains
Engineering Analysis with Boundary Elements, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Boundary Methods of Fundamental Solutions for solving PDEs
Engineering Analysis with Boundary Elements, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Improved 3D Surface Reconstruction via the Method of Fundamental Solutions
Numerical Mathematics: Theory, Methods and Applications, 2020Summary: A new mathematical model of the modified bi-Helmholtz equation is proposed for the reconstruction of 3D implicit surfaces using the method of fundamental solutions. In the algorithm, we also show how to properly determine the parameter so that the spurious surface can be avoided.
Zheng, Hui +4 more
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