Name
Abstract | ||
|---|---|---|
This paper presents a generic approach to mesh global optimization via node movement, based on a discrete graph-theoretic model. Mesh is considered as an electric system with lumped parameters, governed by the Kirchhoff's voltage and circuit laws. Each mesh element is treated as a multi-pole electric component, relating input electric potentials to the output via a transfer function. We automatically derive an element transfer function and finally a mesh optimization model using a formal analysis of the coefficients couplings in the finite element stiffness matrix, similar to the method, used in Algebraic Multigrid. Our mesh model is a transient dynamic system and proposed optimization can be also used for mesh deformation problems. We will show that new method works well for realistic 3D meshes and provide a number of mesh optimization examples and details of our implementation. |
Year | Venue | Keywords |
|---|---|---|
2004 | IMR | algebraic multigrid,graph-theoretic mesh model,hybrid mesh,mesh smoothening,mesh optimization,transfer function,finite element,global optimization |
Field | DocType | Citations |
Topology,Mathematical optimization,Polygon mesh,Global optimization,Computer science,Voltage,Finite element method,Transfer function,Stiffness matrix,Multigrid method,Mesh generation | Conference | 4 |
PageRank | References | Authors |
0.44 | 5 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andrey A. Mezentsev | 1 | 37 | 5.49 |