Browsing by Subject "Numerical solution"
Now showing items 113 of 13

Article
Application of the MFS to inverse obstacle scattering problems
(2011)In this paper, the method of fundamental solutions (MFS) is used to detect the shape, size and location of a scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered acoustic pressure ...

Article
Conforming spectral domain decomposition schemes
(1997)Spectral domain decomposition schemes are presented for the numerical solution of second and fourth order problems. These schemes, which are formulated in the collocation framework yield spectral approximations which are ...

Article
Detection of cavities using the method of fundamental solutions
(2009)The determination of the boundary of a cavity, defined here as a perfectly insulated inclusion, within a conducting medium from a single voltage and current flux measurements on the accessible boundary of the medium, can ...

Article
Efficient MFS algorithms for problems in thermoelasticity
(2013)We propose efficient fast Fourier transform (FFT)based algorithms using the method of fundamental solutions (MFS) for the numerical solution of certain problems in planar thermoelasticity. In particular, we consider ...

Article
A meshless numerical identification of a soundhard obstacle
(2012)We propose a simple meshless method for detecting a rigid (soundhard) scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered near field. This inverse problem is illposed since ...

Conference Object
The method of fundamental solutions for inverse obstacle acoustic scattering
(2010)In this paper we propose a simple method for detecting (shape, size and location) a scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered acoustic pressure in the vicinity (nearor ...

Article
The method of fundamental solutions for the inverse conductivity problem
(2010)In this article, we propose a simple method for detecting an inclusion Ω2 embedded in a host electrostatic medium Ω1 from a single Cauchy pair of voltage and current flux measurements on the exterior boundary of Ω1. A ...

Article
The MFS for the solution of harmonic boundary value problems with nonharmonic boundary conditions
(2013)We investigate applications of the method of fundamental solutions (MFS) for the numerical solution of twodimensional boundary value problems in complex geometries, governed by the Laplace equation and subject to Dirichlet ...

Article
Numerical similarity reductions of the (1+3)dimensional Burgers equation
(2011)We consider the (1+3)dimensional Burgers equation ut = u xx + uyy + uzz + uux which has considerable interest in mathematical physics. Lie symmetries are used to reduce it to certain ordinary differential equations. We ...

Article
Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries
(2014)The exhaustive group classification of a class of variable coefficient generalized KdV equations is presented, which completes and enhances results existing in the literature. Lie symmetries are used for solving an initial ...

Conference Object
Sedimentation of heavy crystal particles under microgravity conditions
(American Institute of Aeronautics and Astronautics Inc, AIAA, 1998)Crystals grown from specially prepared liquid solutions have important industrial applications such as in biochemical processes, refining etc. The efficiency of these crystals is usually a function of their size. Therefore, ...

Article
A survey of applications of the MFS to inverse problems
(2011)The method of fundamental solutions (MFS) is a relatively new method for the numerical solution of boundary value problems and initial/boundary value problems governed by certain partial differential equations. The ease ...

Conference Object
A twophase fluid model of crystal settling under variable gravity
(American Institute of Aeronautics and Astronautics Inc, AIAA, 1999)A twophase fluid model of crystal particle motion in a liquid is presented. The model includes a liquid and a solid phase as continua and forces due to pressure, viscous stresses, variable gravity and fluid drag. The model ...