Analysis of bimaterial interface cracks using the localized method of fundamental solutions
Results in Applied Mathematics, 2022 This short communication makes the first attempt to apply the localized method of fundamental solutions (LMFS), a newly-developed meshless collocation method, for fracture mechanics analysis of bimaterial interface crack problems.
Xiao Wang, Yan Gu, Mikhail V. Golub
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Localized Method of Fundamental Solutions for Two-Dimensional Inhomogeneous Inverse Cauchy Problems
Mathematics, 2022 Due to the fundamental solutions are employed as basis functions, the localized method of fundamental solution can obtain more accurate numerical results than other localized methods in the homogeneous problems.
Junli Zhang +3 more
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Mathematics, 2022 The localized method of fundamental solutions (LMFS) is a domain-type, meshless numerical method. Compared with numerical methods that have a high grid dependence, it does not require grid generation and numerical integration, so it can effectively ...
Ke Sun +3 more
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Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory
Advances in Applied Mathematics and Mechanics, 2021 . A localized version of the method of fundamental solution (LMFS) is de-vised in this paper for the numerical solutions of three-dimensional (3D) elasticity problems.
global sci
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A Localized Method of Fundamental Solution for Numerical Simulation of Nonlinear Heat Conduction [PDF]
Mathematics, 2022 In this study, an efficient localized method of fundamental solution (LMFS) is applied to nonlinear heat conduction with mixed boundary conditions. Since the thermal conductivity is temperature-dependent, the Kirchhoff transformation is used to transform
Feng Wang, Yan-Cheng Liu, Hui Zheng
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Advances in Applied Mathematics and Mechanics, 2023 . This paper documents the first attempt to apply a localized method of fundamental solutions (LMFS) to the acoustic analysis of car cavity containing sound-absorbing materials.
Zengtao Chen null, Fajie Wang
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STOKES EQUATION SOLUTION USING THE LOCALIZED METHOD OF FUNDAMENTAL SOLUTIONS WITH A GLOBAL BASIS
WIT Transactions on Engineering Sciences, 2023 The paper focuses on deriving a local variant of the method of fundamental solutions (MFS) for the case of Stokes flow. Compared to the global and local basis variants, the local with global basis one leads to a sparse characteristic matrix as in fully ...
J. Mužík, Filip Cigáň
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Stress analysis of elastic bi-materials by using the localized method of fundamental solutions
AIMS Mathematics, 2021 The localized method of fundamental solutions belongs to the family of meshless collocation methods and now has been successfully tried for many kinds of engineering problems.
Juan Wang +3 more
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Comparative analysis of lump, breather, and interaction solutions using a bidirectional data mapping approach [PDF]
Scientific ReportsThis study analyzes the $$(2+1)$$ -dimensional Boussinesq equation, a fundamental model in coastal and ocean engineering for describing the propagation of long waves in shallow water.
Syeda Sarwat Kazmi, Muhammad Bilal Riaz
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A Localized Version of the Method of Fundamental Solutions in a Multi-level Context
Periodica Polytechnica Civil Engineering, 2023 The Method of Fundamental Solutions is applied to the Laplace equation. Instead of using the traditional approach with external source points and boundary collocation points, the original domain decomposed into a lot of smaller, overlapping subdomains ...
C. Gáspár
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