Results 251 to 260 of about 166,982,905 (289)

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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Virtual special issue: Trefftz Methods and Method of Fundamental Solutions

Engineering Analysis with Boundary Elements, 2019
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Anita Uscilowska, Carlos Alves, Artur Maciąg   +2 more
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The method of fundamental solutions for the Helmholtz equation

Applied Numerical Mathematics, 2019
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Zi-Cai Li, Yimin Wei, Yunkun Chen, Hung-Tsai Huang   +3 more
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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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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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Comparisons of fundamental solutions and particular solutions for Trefftz methods

Engineering Analysis with Boundary Elements, 2010
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Li, Zi-Cai, Young, Lih-Jier, Huang, Hung-Tsai, Liu, Ya-Ping, Cheng, Alexander H.-D.   +4 more
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A Note on the Method of Fundamental Solutions

Academia Letters, 2021
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The method of fundamental solutions for Poisson's equation

Engineering Analysis with Boundary Elements, 1995
We show how to extend the method of fundamental solutions (MFS) to solve Poisson's equation in R2 and R2 without boundary or domain discretization. To do this an approximate particular solution is found by approximating the right hand side by thin plate splines.
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Method of fundamental solution using Erdogan's solution: Static and dynamic

Engineering Analysis with Boundary Elements, 2023
Wei, H., Zheng, J. L., Sladek, J., Sladek, V., Wen, P. H.   +4 more
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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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