Stochastic models of chemical systems are often analysed by solving the corresponding Fokker-Planck equation which is a drift-diffusion partial differential equation for the probability distribution function. Efficient numerical solution of the Fokker-Planck equation requires adaptive mesh refinements. In this paper, we present a mesh refinement approach which makes use of a stochastic simulati...

determination of physical properties of municipal waste compost is necessary to obtain the parameters related to designing and constructing a suitable pelleting machine for producing compost pellets. the purpose of this study is determining some physical properties such as; bulk density, coefficient of friction, porosity, angle of repose for compost and density and expansion for compost pellets...

The centroidal Voronoi tessellation based Delaunay triangulation (CVDT) provides an optimal distribution of generating points with respect to a given density function and accordingly generates a high-quality mesh. In this paper, we discuss algorithms for the construction of the constrained CVDT from an initial Delaunay tetrahedral mesh of a three-dimensional domain. By establishing an appropria...

In this paper, we present the first phase of our effort to build a bone density atlas. We adopted a tetrahedral mesh structure to represent anatomical structures. We propose an efficient and automatic algorithm to construct the tetrahedral mesh from contours in CT images corresponding to the outer bone surfaces and boundaries between compact bone, spongy bone, and medullary cavity. We approxima...

Mesh refinement procedures for the solution of three dimensional problems are described. The computational domain is represented by an assembly of tetrahedral elements and the mesh refinement is acheived by the bisection and Rivara methods using an explicit mesh density function coupled with an automatic 3D mesh generator. A couple of benchmark examples is used to compare the performance of bot...

This study focuses on the summary data structure design and optimize the method of calculation of the mesh density and how to effectively deal with the problem of boundary points, combined with the sliding window mechanism and suggest improvements based on the mesh density of the data stream real-time clustering algorithm framework and the various parts of concrete realization of the algorithm.

Determination of the maximum temperature and its location is the matter of the greatest importance in many technological and scientific engineering applications. In terms of numerical calculations of the heat conduction equation by using uniform mesh increments in space, large computational cost is sometimes countered. However, adaptive grid refinement method could be computationally efficient ...

In order to interactively investigate large scale D data sets we propose an improved hierarchical data structure for structured grids and an original hierarchical data struc ture for unstructured grids These multi tiered implementations allow the user to interactively control both the local and global density of the mesh Therefore the user can interactively re ne areas of interest and decimate ...

~ We study. adaptive finite element methods for elliptic problems with domain corner singularities. Our model problem is the two dimensional Poisson equation. Results of this paper are two folds. First, we prove that there exists an adaptive mesh (gauged by a discrete mesh density function) under which the recovered.gradient by the Polynomial Preserving Recovery (PPR) is superconvergent. Second...