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The Method of Fundamental Solutions for axisymmetric elasticity problems
Computational Mechanics, 2000A method of fundamental solutions is proposed to obtain approximate solutions for axisymmetric boundary value problems of linear homogeneous isotropic elastostatics. The axially symmetric fundamental solutions for infinite body are represented in terms of complete elliptic integrals, and an approximate solution is expressed as a linear combination of ...
Karageorghis, A., Fairweather, G.
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The Physics of Fluids
We derive the closed-form fundamental solutions (Green's functions) of a linearized two-temperature model that captures heat transfer in rarefied polyatomic gases by treating translational and internal energy modes separately.
Ankit Farkya, Anil Kumar, A. Rana
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We derive the closed-form fundamental solutions (Green's functions) of a linearized two-temperature model that captures heat transfer in rarefied polyatomic gases by treating translational and internal energy modes separately.
Ankit Farkya, Anil Kumar, A. Rana
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The adaptive algorithm for the selection of sources of the method of fundamental solutions
Engineering analysis with boundary elements, 2018Despite all the efforts and success for finding the optimal location of the sources outside the domain for the method of fundamental solutions (MFS), this issue continues to attract the attention from researchers for seeking more efficient and reliable ...
Ji Lin +3 more
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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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Galerkin Formulations of the Method of Fundamental Solutions
Advances in Applied Mathematics and Mechanics, 2013AbstractIn this paper, we introduce two Galerkin formulations of the Method of Fundamental Solutions (MFS). In contrast to the collocation formulation of the MFS, the proposed Galerkin formulations involve the evaluation of integrals over the boundary of the domain under consideration.
Berger, J. R. +3 more
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Fundamentals of Discrete Solution Methods
1992Wave propagation is an inherent feature of the solutions to the Euler equations. The first part of this chapter surveys the basic theory of wave propagation encountered in hyperbolic differential equations including the concept of haracteristics,1 discontinuities, and weak solutions.2 Boundary conditions and how they affect stability are also discussed.
Albrecht Eberle +2 more
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Virtual special issue: Trefftz Methods and Method of Fundamental Solutions
Engineering Analysis with Boundary Elements, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anita Uscilowska +2 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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The method of fundamental solutions for Signorini problems
IMA Journal of Numerical Analysis, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Poullikkas, A. +2 more
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The Method of Fundamental Solutions in Three-Dimensional Elastostatics
2002We consider the application of the Method of Fundamental Solutions (MFS) to isotropic elastostatics problems in three-space dimensions. The displacements are approximated by linear combinations of the fundamental solutions of the Cauchy-Navier equations of elasticity, which are expressed in terms of sources placed outside the domain of the problem ...
Andreas Poullikkas +2 more
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