Results 251 to 260 of about 1,784,799 (325)

The method of fundamental solutions for the Helmholtz equation

Applied Numerical Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zi-Cai Li, Yimin Wei, Yunkun Chen, Hung-Tsai Huang   +3 more
openaire   +3 more sources

The method of fundamental solutions for scattering and radiation problems

Engineering Analysis with Boundary Elements, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fairweather, G., Karageorghis, Andreas, Martin, P. A., Fairweather, G., Karageorghis, Andreas, Martin, P. A.   +5 more
openaire   +3 more sources

A Note on the Method of Fundamental Solutions

Academia Letters, 2021
Hollis Williams
openaire   +2 more sources

An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability

Engineering Analysis With Boundary Elements, 2020
In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a heuristic numerical method. It is truly meshless. Its concept and numerical implementation are simple.
Alexander H -D Cheng
exaly   +2 more sources

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.
M. Golberg
openaire   +2 more sources

An Introduction to the Method of Fundamental Solutions

Alexander H-D Cheng, C S Chen, Andreas Karageorghis   +2 more
openaire   +2 more sources

Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions

Applied Mathematical Modelling, 2019
The traditional method of fundamental solutions has a full interpolation matrix, and thus its solution is computationally expensive, especially for large-scale problems with complicated domains.
Wenzhen Qu, Chia-Ming Fan, Yan Gu
exaly   +2 more sources

Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations

Engineering Analysis With Boundary Elements, 2019
The localized method of fundamental solutions (LMFS) is proposed in this paper for solving two-dimensional boundary value problems, governed by Laplace and biharmonic equations, in complicated domains.
Chia-Ming Fan, C S Chen
exaly   +2 more sources

A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems

Advances in Applied Mathematics and Mechanics, 2020
In this paper, a localized space-time method of fundamental solutions (LSTMFS) is proposed to solve the diffusion and convection-diffusion problems. The proposed LSTMFS only requires some arbitrarily-distributed nodes inside the spacetime domain and ...
Fajie Wang
semanticscholar   +1 more source

A dual-level method of fundamental solutions for three-dimensional exterior high frequency acoustic problems

Applied Mathematical Modelling, 2018
Physical essence of the fictitious boundary of the method of fundamental solutions has been a mystery for a long time. In this study, we attempt to explain the reason why fictitious boundary has such a dramatic effect on numerical results.
Junpu Li, Qing-Hua Qin, Zhuojia Fu
exaly   +2 more sources