This paper is concerned about scalable parallel domain decomposition methods for numerical simulation of PDEs. First, one level and two level scalable parallel domain decomposition methods which can be used to solve different equations, are introduced in detail, and then we explain Krylov subspace accelerator technique used to improve the convergence of the methods. Last, the results of some nu...

In this paper a numerical solution of one dimensional heat equation is presented using Galerkin B-spline finite element method. Quadratic B-spline basis functions are used for finding the solution. Two test problems are studied to evaluate the efficiency of the given technique. Numerical algorithms are developed for the simulation to hold. Results obtained are compared with the exact solution a...

A reconstruction method of bioluminescence sources is proposed based on a phase approximation model. Compared with the diffuse approximation, this phase approximation model more correctly predicts bioluminescence photon propagation in biological tissues, so that bioluminescence tomography can accurately locate and quantify the distribution of bioluminescence sources. The compressive sensing (CS...

This paper is intended to provide a numerical algorithm based on random sampling for solving the linear Volterra integral equations of the second kind. This method is a Monte Carlo (MC) method based on the simulation of a continuous Markov chain. To illustrate the usefulness of this technique we apply it to a test problem. Numerical results are performed in order to show the efficiency and accu...

We discuss the application of importance-sampling techniques to the numerical simulation of transmission impairments induced by amplified spontaneous emission noise in soliton-based optical transmission systems. The method allows one to concentrate numerical simulations on the noise realizations that are most likely to result in transmission errors, thus leading to increases in speed of several...

the value of the permeability in fluid flow through porous media is important for process investigation. in low reynolds number, the classic darcy’s law is suitable for simulation of fluid flow. in this paper, an experimental study for evaluation of preformed fiber permeability has been done. also, the deviations from the classical darcy law by experimental and numerical simulation of the navie...

We report what we believe to be the first simulation of enhanced backscattering (EBS) of light by numerically solving Maxwell's equations without heuristic approximations. Our simulation employs the pseudospectral time-domain (PSTD) technique, which we have previously shown enables essentially exact numerical solutions of Maxwell's equations for light scattering by millimeter-volume random medi...

We present a direct measurement of velocity distributions in two dimensions by using an absorption imaging technique in a 3D near resonant optical lattice. The results show a clear difference in the velocity distributions for the different directions. The experimental results are compared with a numerical 3D semi-classical Monte-Carlo simulation. The numerical simulations are in good qualitativ...

Simulation is defined to be a technique to imitate the evolution of a real system by studying a model of the system (Winston, 1994, p. 23; Ripley, 1987, p. 2). The model is an abstraction, a simplified and convenient mathematical representation of the actual system typically coded and run as a computer program. If the model has a stochastic1 element, then we have stochastic simulation. The term...

for designing tillage implements it would be better to estimate soil forces exerted to the implements. many researches showed that numerical method of discrete element method (dem) is the cheapest and fastest technique for modeling granular material such as soil and especially sandy soil. in this study, paraplow and bentleg tines performance was compared with conventional tine using experimenta...