Results 231 to 240 of about 377,272 (263)

ON THE EXPONENTIAL CONVERGENCE OF THE METHOD OF FUNDAMENTAL SOLUTIONS

International Journal of Computational Methods, 2013
It is well known that the method of fundamental solutions (MFS) is a numerical method of exponential convergence. In other words, the logarithmic error is proportional to the node number of spatial discretization. In this study, the exponential convergence of the MFS is demonstrated by solving the Laplace equation in domains of rectangles, ellipses ...
CHIA-CHENG TSAI, PO-HO LIN
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Methods of Fundamental Solutions in Poroelasticity

2015
Although 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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REGULARIZATION TECHNIQUES FOR THE METHOD OF FUNDAMENTAL SOLUTIONS

International Journal of Computational Methods, 2013
A special regularization method based on higher-order partial differential equations is presented. Instead of using the fundamental solution of the original partial differential operator with source points located outside of the domain, the original second-order partial differential equation is approximated by a higher-order one, the fundamental ...
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Solution of Grad–Shafranov equation by the method of fundamental solutions

Journal of Plasma Physics, 2014
In 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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A Method for Obtaining a Fundamental System of Solutions

The American Mathematical Monthly, 1968
This note concerns a step in obtaining a fundamental system of solutions for a set of linear equations. The elementary row operations wiill be used and we shall adopt the following notations for elementary roNw operations on a matrix A: (i) rij: Row i and rowj are interchanged. (ii) ri(c): Row i is multiplied by the scalar c#O.
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A Note on the Method of Fundamental Solutions

Academia Letters, 2021
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Solution of potential flow problems by the modified method of fundamental solutions: Formulations with the single layer and the double layer fundamental solutions

Engineering Analysis With Boundary Elements, 2009
Božidar Šarler
exaly  

Perturbation technique and method of fundamental solution to solve nonlinear Poisson problems

Engineering Analysis With Boundary Elements, 2011
H Zahrouni, M Potier-Ferry
exaly  

Singular boundary method for transient convection–diffusion problems with time-dependent fundamental solution

International Journal of Heat and Mass Transfer, 2017
Fajie Wang, Wen Chen, Antonio Tadeu
exaly  

A Method for the COnstruction of Fundamental Solutions in Elasticity Theory

Journal of Mathematics and Physics, 1957
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