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THE LOCALIZED METHOD OF FUNDAMENTAL SOLUTIONS FOR PLANAR GROUNDWATER FLOW PROBLEMS
SGEM International Multidisciplinary Scientific GeoConference� EXPO Proceedings, 2023The method of fundamental solutions is a meshless method that belongs to the Trefftz class of numerical methods. The method needs only the boundary to be defined using the set of boundary collocation nodes; it is mathematically effortless to program. One
J. Mužík
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Analysis of in-plane crack problems using the localized method of fundamental solutions
Engineering Fracture Mechanics, 2021In this paper, the localized method of fundamental solutions (LMFS), a recently developed meshless collocation method, is applied to the numerical solution of problems with cracks in linear elastic fracture mechanics.
Yan Gu, M. Golub, C. Fan
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The localized method of fundamental solutions for 2D and 3D inhomogeneous problems
Mathematics and Computers in Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junli Zhang +4 more
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Advances in Applied Mathematics and Mechanics, 2022
The localized method of fundamental solutions (LMFS) is a relatively new meshless boundary collocation method. In the LMFS, the global MFS approximation which is expensive to evaluate is replaced by local MFS formulation defined in a set of overlapping ...
Shuainan Liu, Zhuojia Fu null, Y. Gu
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The localized method of fundamental solutions (LMFS) is a relatively new meshless boundary collocation method. In the LMFS, the global MFS approximation which is expensive to evaluate is replaced by local MFS formulation defined in a set of overlapping ...
Shuainan Liu, Zhuojia Fu null, Y. Gu
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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.
C. Fan +3 more
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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.
C. Fan +3 more
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Engineering Analysis with Boundary Elements, 2021
This paper investigates the use of the localized method of fundamental solutions (LMFS) for the numerical solution of general transient convection-diffusion-reaction equation in both two-(2D) and three-dimensional (3D) materials.
Shuai Liu, Po-Wei Li, C. Fan, Yan Gu
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This paper investigates the use of the localized method of fundamental solutions (LMFS) for the numerical solution of general transient convection-diffusion-reaction equation in both two-(2D) and three-dimensional (3D) materials.
Shuai Liu, Po-Wei Li, C. Fan, Yan Gu
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A Localized Method of Fundamental Solutions for the Stokes Equations
Advances in Science and TechnologyThe Method of Fundamental Solution applied to the Stokes equation is investigated. Instead of using the classical approach, the problem is split into several subproblems defined on much smaller subdomains.
Csaba Gáspár
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Acta Mechanica Sinica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin Qiu, J. Lin, Q. Qin, W. Chen
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin Qiu, J. Lin, Q. Qin, W. Chen
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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
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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
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Localized method of fundamental solutions for interior Helmholtz problems with high wave number
Engineering Analysis with Boundary Elements, 2019This paper introduces a localized version of the method of fundamental solutions (MFS) named as the localized MFS (LMFS) for two-dimensional (2D) interior Helmholtz problems with high wave number. Due to its full interpolation matrix, the traditional MFS
Wenzhen Qu, C. Fan, Yan Gu
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