Results 21 to 30 of about 1,784,799 (325)

Inverse heat conduction problems by using particular solutions [PDF]

, 2011
Based on the method of fundamental solutions, we develop in this paper a new computational method to solve two-dimensional transient heat conduction inverse problems.
Belytschko, Chantasiriwan, Cheng, Durbin, Fairweather, Golberg, Guo, Hon, Hon, Hsu, Ingber, Jonas, Kurpisz, Lesnic, Li, Liu, Reinhardt, Reutskiy, Shen, Sladek, Stehfest   +20 more
core   +1 more source

Convergence analysis of the scaled boundary finite element method for the Laplace equation [PDF]

, 2020
The scaled boundary finite element method (SBFEM) is a relatively recent boundary element method that allows the approximation of solutions to PDEs without the need of a fundamental solution.
Bertrand, Fleurianne, Boffi, Daniele, de Diego, Gonzalo G.   +2 more
core   +2 more sources

Method of fundamental solutions for Neumann problems of the modified Helmholtz equation in disk domains [PDF]

Journal of Computational and Applied Mathematics, 2020
The method of the fundamental solutions (MFS) is used to construct an approximate solution for a partial differential equation in a bounded domain. It is demonstrated by combining the fundamental solutions shifted to the points outside the domain and ...
Shin-ichiro Ei, Hiroyuki Ochiai, Yoshitaro Tanaka   +2 more
semanticscholar   +1 more source

Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions

Computers and Mathematics with Applications, 2020
The localized method of fundamental solutions (LMFS) is an efficient meshless collocation method that combines the concept of localization and the method of fundamental solutions (MFS).
Wenzhen Qu, C. Fan, Xiaolin Li
semanticscholar   +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

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

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

A probabilistic interpretation of the parametrix method [PDF]

, 2014
In this article, we introduce the parametrix technique in order to construct fundamental solutions as a general method based on semigroups and their generators.
Bally, Vlad, Kohatsu-Higa, Arturo
core   +6 more sources

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