Results 11 to 20 of about 211,070 (266)
Mathematics, 2023 Some inverse problems of Stokes flow, including noisy boundary conditions, unknown angular velocity, and dynamic viscous constant identification are studied in this paper.
Yeqin Shao, Quan Jiang
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A modified version of regularized meshless method for three dimensional potential problem
ITM Web of Conferences, 2017 In this study, three-dimensional potential problem is solved using a novel meshless method. Due to the singularity of the kernel functions, the diagonal terms of the influence matrices in the method of fundamental solutions (MFS) are unobtainable.
Lai Cheng-Yang +3 more
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Applied Sciences, 2019 In this article, we present a meshless method based on the method of fundamental solutions (MFS) capable of solving free surface flow in three dimensions.
Cheng-Yu Ku, Jing-En Xiao, Chih-Yu Liu
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Journal of Marine Science and Engineering, 2023 The moving pseudo-boundary method of fundamental solutions (MFS) was employed to solve the Laplace equation, which describes the potential flow in a two-dimensional (2D) numerical wave tank.
Chengyan Wang +3 more
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Algorithms, 2023 We propose neural-network-based algorithms for the numerical solution of boundary-value problems for the Laplace equation. Such a numerical solution is inherently mesh-free, and in the approximation process, stochastic algorithms are employed.
Ferenc Izsák, Taki Eddine Djebbar
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NUMERICAL SOLUTION TO BOUNDARY PROBLEMS FOR POISSON EQUATION BY POINTSOURCE METHOD
Advanced Engineering Research, 2014 The aim o f t his p a p e r is t h e e fficie n c y im p r o v e m e n t o f o n e o f t h e m o s t a d v a n c e d t e c h niq u e s o f s olvin g t h e ellip tic b o u n d a r y v alu e p r o ble m s — t h e field p oin t- s o u r c e m e t h o d d e ...
Sergey Yuryevich Knyazev +2 more
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Method of fundamental solutions for a conductivity problem
Applied Mathematics in Science and EngineeringA numerical solution of the interior Dirichlet problem for the homogeneous conductivity equation is considered. After introducing certain assumptions and discretization of the domain, the boundary value problem for a second-order elliptic equation with ...
Andriy Beshley, Ihor Borachok
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Mathematical and Computational ApplicationsThe velocity and trajectory of particles moving along the corrugated (rough) surface under the action of gravity is obtained by a modified Method of Fundamental Solutions (MFS).
Alex Povitsky
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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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A well conditioned Method of Fundamental Solutions
, 2021 The method of fundamental solutions (MFS) is a numerical method for solving boundary value problems involving linear partial differential equations. It is well known that it can be very effective assuming regularity of the domain and boundary conditions.
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