Results 1 to 10 of about 275,954 (233)

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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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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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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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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Localized Boundary Knot Method for Solving Two-Dimensional Laplace and Bi-Harmonic Equations

Mathematics, 2020
In this paper, a localized boundary knot method is proposed, based on the local concept in the localized method of fundamental solutions. The localized boundary knot method is formed by combining the classical boundary knot method and the localization ...
Jingang Xiong, Jiancong Wen, Yan-Cheng Liu   +2 more
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Gaussian Process Regression for Data Fulfilling Linear Differential Equations with Localized Sources

Entropy, 2020
Specialized Gaussian process regression is presented for data that are known to fulfill a given linear differential equation with vanishing or localized sources.
Christopher G. Albert, Katharina Rath
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