Browsing by Subject "Fundamental solutions"
Now showing items 111 of 11

Article
Applicability and applications of the method of fundamental solutions
(2009)In the present work, we investigate the applicability of the method of fundamental solutions for the solution of boundary value problems of elliptic partial differential equations and elliptic systems. More specifically, ...

Article
Approximation by solutions of elliptic equations in semilocal spaces
(2009)In the present work, we investigate the approximability of solutions of elliptic partial differential equations in a bounded domain Ω by solutions of the same equations in a larger domain. We construct an abstract framework ...

Article
Density results with linear combinations of translates of fundamental solutions
(2009)In the present work, we investigate the approximability of solutions of elliptic partial differential equations in a bounded domain Ω by linear combinations of translates of fundamental solutions of the underlying partial ...

Article
Efficient MFS algorithms for inhomogeneous polyharmonic problems
(2011)In this work we develop an efficient algorithm for the application of the method of fundamental solutions to inhomogeneous polyharmonic problems, that is problems governed by equations of the form Δ ℓ u=f, ℓ ε ℕ, in circular ...

Article
The method of fundamental solutions for elliptic boundary value problems
(1998)The aim of this paper is to describe the development of the method of fundamental solutions (MFS) and related methods over the last three decades. Several applications of MFStype methods are presented. Techniques by which ...

Article
The method of fundamental solutions for scattering and radiation problems
(2003)The development of the method of fundamental solutions (MFS) and related methods for the numerical solution of scattering and radiation problems in fluids and solids is described and reviewed. A brief review of the ...

Article
The method of fundamental solutions for solving direct and inverse Signorini problems
(2015)Signorini problems model phenomena in which a known or unknown portion of the boundary is subjected to alternating Dirichlet and Neumann boundary conditions. In this paper, we apply the method of fundamental solutions (MFS) ...

Article
The method of fundamental solutions in Threedimensional Elastostatics
(2002)We consider the application of the Method of Fundamental Solutions (MFS) to isotropic elastostatics problems in threespace dimensions. The displacements are approximated by linear combinations of the fundamental solutions ...

Article
Rotation of the sources and normalization of the fundamental solutions in the MFS
(2002)The Method of Fundamental Solutions (MFS) is a boundary type method suitable for the solution of certain elliptic boundary value problems. The basic ideas of the MFS were introduced by Kupradze and Alexidze and its modern ...

Article
Some aspects of the Method of Fundamental solutions for certain biharmonic problems
(2003)In this study, we investigate the application of the Method of Fundamental Solutions for the solution of biharmonic Dirichlet problems on a disk. Modifications of the method for overcoming sources of inaccuracy are suggested. ...

Article
Steadystate nonlinear heat conduction in composite materials using the method of fundamental solutions
(2008)The steadystate heat conduction in composite (layered) heat conductors with temperature dependent thermal conductivity and mixed boundary conditions involving convection and radiation is investigated using the method of ...