Paper Info
Title
Variational Harmonic Method for Parameterization of Computational Domain in 2D Isogeometric Analysis
Abstract
In is geometric anlaysis, parameterization of computational domain has great effects as mesh generation in finite element analysis. In this paper, based on the concept of harmonic map from the computational domain to parametric domain, a variational approach is proposed to construct the parameterization of computational domain for 2D is geometric analysis. Different from the previous elliptic mesh generation method in finite element analysis, the proposed method focus on is geometric version, and converts the elliptic PDE into a nonlinear optimization problem. A regular term is integrated into the optimization formulation to achieve more uniform grid near convex(concave) parts of the boundary. Several examples are presented to show the efficiency of the proposed method.
Year
DOI
Venue
2011
10.1109/CAD/Graphics.2011.22
CAD/Graphics
Keywords
Field
DocType
computational domain,finite element analysis,mesh generation,geometric analysis,geometric version,nonlinear optimization problem,proposed method focus,geometric anlaysis,variational harmonic method,elliptic pde,isogeometric analysis,nonlinear programming,partial differential equations,cad,computational geometry
Mathematical optimization,Computer science,Isogeometric analysis,Nonlinear programming,Computational geometry,Geometric analysis,Finite element method,Parametric statistics,Partial differential equation,Mesh generation
Conference
Citations 
PageRank 
References 
5
0.55
6
Authors
4
Name
Order
Citations
PageRank
Gang Xu150.55
Bernard Mourrain21074113.70
Regis Duvigneau350.89
André Galligo4535.92