Finite Elements Method Coupled with Delaunay Triangulation Method Applied on a Silicon Corner Diode

International audienceThis work considers a two dimensional numerical device simulation system using a novel digitizing scheme based on finite elements coupled with the Delaunay triangulation method which allowed an optimal mesh involved in nonrectangular devices as a corner diode. A grid was generated automatically according to the specified device geometry standing on the Delaunay triangulation process. The solution of the problem consists in the resolution of three strong nonlinear partial differential equations (PDE) which are, in occurrence, two dimensional Poisson and continuity equations. Modeled voltage, free carriers distribution and I-V characteristics were extracted when the PN junction resolution was based on second-order Bezier curves. The results are presented using a Delaunay triangulation meshing mathematical tool

Multiresolution Mesh Representation: Models and Data Structures

Multiresolution meshes are a common basis for building representations of a geometric shape at dierent levels of detail. The use of the term multiresolution depends on the remark that the accuracy (or, level of detail) of a mesh in approximating a shape is related to the mesh resolution, i.e., to the density (size and number) of its cells. A multiresolution mesh provides several alternative meshbased approximations of a spatial object (e.g., a surface describing the boundary of a solid object, or the graph of a scalar eld)