We present a computational module for interactively visualizing large scale D un structured meshes Scientists and engineers routinely solve large scale computational boundary value problems on unstructured grids These grids typically range from several hundred thousand elements to millions of elements With this ability to solve such large scale problems comes the challenge of viewing the D nite...

singular perturbation problems have been studied by many mathematicians. since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. this paper, investigates this issue for a singular perturbation problem including a first order differential equation with gen...

SUMMARY Large scale parallel simulations are dealing with meshes with millions to billions of elements. As the numbers of elements in these meshes continue to increase, it is becoming necessary to deal with the generation and control of the mesh in parallel. This paper overviews a set of procedures that can accept a CAD model as input and generate initial meshes in parallel with 100's of millio...

This paper describes an algorithm to extract adaptive and quality 3D meshes directly from volumetric imaging data. The extracted tetrahedral and hexahedral meshes are extensively used in the finite element method (FEM). A top-down octree subdivision coupled with a dual contouring method is used to rapidly extract adaptive 3D finite element meshes with correct topology from volumetric imaging da...

Design of an anisotropic diffusion-based filter that performs Bayesian classification for automatic selection of a proper weight for fairing polygon meshes is proposed. The data analysis based on Bayesian classification is adopted to determine the decision boundary for separating potential edge and non-edge vertices in the curvature space. The adaptive diffusion filter is governed by a double-d...

A new method for noise removal of arbitrary surfaces meshes is presented which focuses on the preservation and sharpening of non-linear geometric features such as curved surface regions and feature lines. Our method uses a prescribed mean curvature flow (PMC) for simplicial surfaces which is based on three new contributions: 1. the definition and efficient calculation of a discrete shape operat...

in this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. a fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. thomas algorithm is used to solve the tri-diagonal system. the stability of the algorithm is investigated. it ...

In this paper, we study the superconvergence property for the discontinuous Galerkin (DG) and the local discontinuous Galerkin (LDG) methods, for solving one-dimensional time dependent linear conservation laws and convection-diffusion equations. We prove superconvergence towards a particular projection of the exact solution when the upwind flux is used for conservation laws and when the alterna...

We present a computational module for interactively visualizing, large-scale, 3D un-structured meshes. Scientists and engineers routinely solve large-scale computational boundary value problems on unstructured grids. These grids typically range from several hundred thousand elements to millions of elements. With this ability to solve such large-scale problems comes the challenge of viewing the ...