Results 1 to 10 of about 274,387 (252)

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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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, Hui Zheng, Chia-Ming Fan, Ming-Fu Fu   +3 more
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Stress analysis of elastic bi-materials by using the localized method of fundamental solutions

AIMS Mathematics, 2022
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, Wenzhen Qu, Xiao Wang , Rui-Ping Xu   +3 more
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Solving the Eigenfrequencies Problem of Waveguides by Localized Method of Fundamental Solutions with External Source

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, Shuang Ding, Junli Zhang, Yan-Cheng Liu   +3 more
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On the supporting nodes in the localized method of fundamental solutions for 2D potential problems with Dirichlet boundary condition

AIMS Mathematics, 2021
This paper proposes a simple, accurate and effective empirical formula to determine the number of supporting nodes in a newly-developed method, the localized method of fundamental solutions (LMFS).
Zengtao Chen, Fajie Wang
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Comparative analysis of lump, breather, and interaction solutions using a bidirectional data mapping approach [PDF]

Scientific Reports
This 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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How Do Health Systems Address Patient Flow When Services Are Misaligned With Population Needs? A Qualitative Study [PDF]

International Journal of Health Policy and Management, 2022
Background  Patient flow through health services is increasingly recognized as a system issue, yet the flow literature has focused overwhelmingly on localized interventions, with limited examination of system-level causes or remedies.
Sara Kreindler, Zaid Aboud, Stephanie Hastings, Shannon Winters, Keir Johnson, Sara Mallinson, Meaghan Brierley   +6 more
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Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory

Advances in Applied Mathematics and Mechanics, 2021
Summary: A localized version of the method of fundamental solution (LMFS) is devised in this paper for the numerical solutions of three-dimensional (3D) elasticity problems. The present method combines the advantages of high computational efficiency of localized discretization schemes and the pseudo-spectral convergence rate of the classical MFS ...
Gu, Yan, Fan, Chia-Ming, Fu, Zhuojia
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Localized MFS for three‐dimensional acoustic inverse problems on complicated domains

International Journal of Mechanical System Dynamics, 2022
This paper proposes a semi‐analytical and local meshless collocation method, the localized method of fundamental solutions (LMFS), to address three‐dimensional (3D) acoustic inverse problems in complex domains.
Zengtao Chen, Fajie Wang, Suifu Cheng, Guozheng Wu   +3 more
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