This paper propose and analyze the two-level stabilized finite element method for the stationary Navier-Stokes equations based on Newon iteration. This algorithm involves solving one small, nonlinear coarse mesh with mesh size H and two linear problems on the fine mesh with mesh size h. Based on local Gauss integration and the quadratic equal-order triangular element ,the two-level stabilized m...

I present a real-time rendering method for converting directed acyclic graphs to polygonal meshes directly on the GPU. The method is composed of two steps. First a graph, where each node has information about its direction, radius and length, is used to construct a nonintersecting, provided well-defined input, topologically correct, closed polygon mesh. This produces a coarse mesh in real-time ...

In this paper, a new path planning method for robots used in outdoors environments is presented. The proposed method applies Fast Marching to a 3D surface represented with a triangular mesh to calculate a smooth trajectory from one point to another. The method uses a triangular mesh instead of a square mesh since this kind of grid adapts better to 3D surfaces. The novelty of this approach is th...

In this paper, we propose a robust isotropic tetrahedral mesh generation method. An advancing front method is employed to control local mesh density and to easily preserve the original connectivity of boundary surfaces. Tetrahedra are created by each layer. Instead of preparing a background mesh for mesh spacing control, this information is estimated at the beginning of each layer at each node ...

This work introduces a novel method of automating the process of patient-specific finite element (FE) model development using a mapped mesh technique. The objective is to map a predefined mesh (template) of high quality directly onto a new bony surface (target) definition, thereby yielding a similar mesh with minimal user interaction. To bring the template mesh into correspondence with the targ...