Results 11 to 20 of about 221,374 (265)

Meshless method using fundamental solution applied to computational simulation of groundwater flow of real aquifers: study case (Guariroba’s APA and Juazeiro do Norte)

RBRH, 2020
We investigated the influence of fictitious boundary distance, a parameter of MFS, to determine piezometric levels of two unconfined sedimentary aquifers assuming Dupuit-Forchheimer and steady-state flow hypothesis.
Guilherme Costa Rodrigues Neto, Erlandson de Vasconcelos Queiroz, João Marcelo Costa Barbosa, Marco Aurélio Holanda de Castro, Guilherme Henrique Cavazzana   +4 more
doaj   +1 more source

A well conditioned Method of Fundamental Solutions

CoRR, 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.
openaire   +2 more sources

The method of fundamental solutions for pointwise source reconstruction

Computers & Mathematics with Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rocha de Faria, J, Lesnic, D, da Silva Lima, R, Jose Machado, T   +3 more
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Some Inverse Problems of Two-Dimensional Stokes Flows by the Method of Fundamental Solutions and Kalman Filter

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
doaj   +1 more source

On invariance of schemes in the method of fundamental solutions

Applied Mathematics Letters, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koya Sakakibara, Shigetoshi Yazaki
openaire   +1 more source

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, Chen Kue-Hong, Lin Sheng-Wei, Liu Ren   +3 more
doaj   +1 more source

The Method of Fundamental Solutions for Three-Dimensional Nonlinear Free Surface Flows Using the Iterative Scheme

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
doaj   +1 more source

A method of fundamental solutions without fictitious boundary [PDF]

Engineering Analysis with Boundary Elements, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Wen, Wang, F. Z.
openaire   +1 more source

Learning Data for Neural-Network-Based Numerical Solution of PDEs: Application to Dirichlet-to-Neumann Problems

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
doaj   +1 more source

Numerical Simulations of Tank Sloshing Problems Based on Moving Pseudo-Boundary Method of Fundamental Solution

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, Yuanting Zou, Ji Huang, Chia-Ming Fan   +3 more
doaj   +1 more source