The method of fundamental solutions for the backward heat conduction problem
NS Mera* - Inverse Problems in Science and Engineering, 2005 - Taylor & Francis
In this article a meshless numerical scheme for solving the backward heat conduction
problem (BHCP) is proposed. The numerical solution is developed by using the fundamental …
problem (BHCP) is proposed. The numerical solution is developed by using the fundamental …
Fundamental solutions of an extended hydrodynamic model in two dimensions: Derivation, theory, and applications
The inability of the Navier-Stokes-Fourier equations to capture rarefaction effects motivates
us to adopt the extended hydrodynamic equations. In the present work, a hydrodynamic …
us to adopt the extended hydrodynamic equations. In the present work, a hydrodynamic …
The meshless method of fundamental solutions applied to couple stress problems
In this paper, the meshless method of fundamental solutions is developed to solve couple
stress problems even with the existence of body forces. Suitable new particular solutions are …
stress problems even with the existence of body forces. Suitable new particular solutions are …
A three-dimensional acoustics model using the method of fundamental solutions
The method of fundamental solutions (MFS) is formulated in the frequency domain to model
the sound wave propagation in three-dimensional (3D) enclosed acoustic spaces. In this …
the sound wave propagation in three-dimensional (3D) enclosed acoustic spaces. In this …
On the sources placement in the method of fundamental solutions for time-dependent heat conduction problems
JK Grabski - Computers & Mathematics with Applications, 2021 - Elsevier
The method of fundamental solutions is a more and more popular meshless method for
solving boundary or initial–boundary value problems. The most important issue in this …
solving boundary or initial–boundary value problems. The most important issue in this …
Fundamental solutions of an extended hydrodynamic model in two dimensions: Derivation, theory, and applications
AS Rana, VK Gupta - arXiv preprint arXiv:2302.01551, 2023 - arxiv.org
The inability of the Navier-Stokes-Fourier equations to capture rarefaction effects motivates
us to adopt the extended hydrodynamic equations. In the present work, a hydrodynamic …
us to adopt the extended hydrodynamic equations. In the present work, a hydrodynamic …
Convergence and stability of the method of meshless fundamental solutions using an array of randomly distributed sources
P Mitic, YF Rashed - Engineering Analysis with Boundary Elements, 2004 - Elsevier
The method of external source collocation is used to solve a discretised boundary value
problem (BVP)∇ 2U= 0, where U is the potential in a two-dimensional simply connected …
problem (BVP)∇ 2U= 0, where U is the potential in a two-dimensional simply connected …
Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems
JK Grabski, A Karageorghis - Engineering Analysis with Boundary …, 2019 - Elsevier
In the method of fundamental solutions (MFS), the solution of a boundary value problem
(BVP) is approximated by a linear combination of fundamental solutions expressed in terms …
(BVP) is approximated by a linear combination of fundamental solutions expressed in terms …
The Method of Fundamental Solutions applied to 3D structures with body forces using particular solutions
This paper presents the Method of Fundamental Solutions for three-dimensional
elastostatics with body forces. The gravitational body loading is considered as an example …
elastostatics with body forces. The gravitational body loading is considered as an example …
Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions
C Gáspár - Open Mathematics, 2013 - degruyter.com
The method of fundamental solutions and some versions applied to mixed boundary value
problems are considered. Several strategies are outlined to avoid the problems due to the …
problems are considered. Several strategies are outlined to avoid the problems due to the …