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Conservative port-to-port funneling of light in nonlinear photonic lattices. [PDF]
Nat CommunPyrialakos GG +7 more
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Bifurcation, chaotic behavior, sensitivity analysis, and dynamical investigations of third-order Schrödinger equation using new auxiliary equation method. [PDF]
Sci RepFatima M +5 more
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Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems
Engineering Analysis with Boundary Elements, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Q. G., Fan, C. M., Šarler, B.
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Advances in Applied Mathematics and Mechanics, 2023
Summary: Accurate and efficient analysis of the coupled electroelastic behavior of piezoelectric structures is a challenging task in the community of computational mechanics. During the past few decades, the method of fundamental solutions (MFS) has emerged as a popular and well-established meshless boundary collocation method for the numerical ...
Gu, Yan, Lin, Ji, Fan, Chia-Ming
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Summary: Accurate and efficient analysis of the coupled electroelastic behavior of piezoelectric structures is a challenging task in the community of computational mechanics. During the past few decades, the method of fundamental solutions (MFS) has emerged as a popular and well-established meshless boundary collocation method for the numerical ...
Gu, Yan, Lin, Ji, Fan, Chia-Ming
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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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Analysis of in-plane crack problems using the localized method of fundamental solutions
Engineering Fracture Mechanics, 2021Abstract In 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. The main idea of the LMFS is to divide the entire computational domain into a set of overlapping sub-domains, and in each sub-
Yan Gu, Mikhail V. Golub, Chia-Ming Fan
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Acta Mechanica Sinica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, L., Lin, J., Qin, Q.-H., Chen, W.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiu, L., Lin, J., Qin, Q.-H., Chen, W.
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Localized method of fundamental solutions for 2D harmonic elastic wave problems
Applied Mathematics Letters, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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Advances in Applied Mathematics and Mechanics, 2020
Summary: 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 space-time domain and along its boundary.
Wang, Fajie +3 more
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Summary: 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 space-time domain and along its boundary.
Wang, Fajie +3 more
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