Results 21 to 30 of about 377,272 (263)

The Method of Fundamental Solution for the Dirichlet Problem in with the Boundary of the two Spheres

Journal of Algorithms & Computational Technology, 2012
In this paper we deal with the method of fundamental solution for the three-dimensional Dirichlet problem, where the fundamental solution of Laplace operator is used.
Ryu Kinugawa, Hiromichi Yamamoto, Heihachiro Hara   +2 more
doaj   +1 more source

Simulation of Antiplane Piezoelectricity Problems with Multiple Inclusions by the Meshless Method of Fundamental Solution with the LOOCV Algorithm for Determining Sources

Mathematics
This paper provides a high-accuracy and efficient method for addressing antiplane piezoelectricity problems with multiple inclusions. The method of fundamental solutions is a boundary-type meshless method that applies the linear combination of ...
Jingyi Zhang, Ji Lin, Fajie Wang, Yan Gu
doaj   +1 more source

Regularized singular boundary method for groundwater flow in a cofferdam

MATEC Web of Conferences, 2018
The boundary integral methods form one group of methods for solving differential equations. The boundary element method (BEM) is the basic method of this group.
Mužík Juraj, Bulko Roman
doaj   +1 more source

Relative Performance of Three Mesh-Reduction Methods in Predicting Mode III Crack-Tip Singularity

Latin American Journal of Solids and Structures
Due to their robustness in handling the inherent singularity difficulties associated with crack analysis, mesh-reduction methods present an avalanche of formulations in the literature which, sometimes, entails modifications to their conventional/standard
Faisal M. Mukhtar
doaj   +1 more source

On the Fundamental Solution of the Reduced Wave Equation

Journal of King Saud University: Engineering Sciences, 1995
A method is presented for constructing fundamental solutions for the Helmholtz operators Δ ± k2 in Rn in terms of the fundamental singularity for the Laplacian Δ.
M.A. Al-Gwaiz
doaj   +1 more source

Solving eigenvalues problems for Helmholtz equation by point-source method

Advanced Engineering Research, 2016
A method of problem solution of the eigenvalues and eigenfunctions for the Helmholtz equation in the domains with arbitrary configuration is worked out.
Elena E. Shcherbakova
doaj   +1 more source

Application of the generalized point source method for solving boundary value problems of mathematical physics

Advanced Engineering Research, 2017
Introduction. The work objective is to develop a new universal numerical method for solving boundary value problems for linear elliptic equations. Materials and Methods .
Sergey Yu. Knyazev, Elena E. Shcherbakova   +1 more
doaj   +1 more source

Lightning-fast Method of Fundamental Solutions

ACM Transactions on Graphics
The method of fundamental solutions (MFS) and its associated boundary element method (BEM) have gained popularity in computer graphics due to the reduced dimensionality they offer: for three-dimensional linear problems, they only require variables on the domain boundary to solve and evaluate the solution throughout space, making them a valuable tool in
Jiong Chen 0001, Florian Schäfer 0001, Mathieu Desbrun   +2 more
openaire   +3 more sources

Free surface groundwater flow solution using boundary collocation methods

MATEC Web of Conferences, 2018
In this paper, two meshless numerical algorithms are developed for the solution of two-dimensional steady-state diffusion equation that describes the stationary groundwater flow.
Mužík Juraj, Bulko Roman
doaj   +1 more source

Method of regularized sources for two-dimensional Stokes flow problems based on rational or exponential blobs

Computer Assisted Methods in Engineering and Science, 2017
The solution of Stokes flow problems with Dirichlet and Neumann boundary conditions is performed by a non-singular method of fundamental solutions (MFS) which does not require artificial boundary, i.e., source points of fundamental solution coincide ...
Shiting Wen, Kai Wang, Rizwan Zahoor, Ming Li, Bozidar Šarler   +4 more
doaj   +1 more source