Design of Finite Element Tools for Coupled Surface and Volume Meshes

作     者：Daniel Kster Oliver Kriessl Kunibert G.Siebert 

作者机构：Numerical Analysis and Computational Mechanics GroupUniversity of TwenteP O.Box 2177500 AE EnschedeThe Netherlands. Institut für MathematikUniversitt AugsburgUniversittsstraβe 14D-86159 AugsburgGermany. 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2008年第1卷第3期

页      面：245-274页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

主　　题：Adaptive finite element methods scientific software software design. 

摘      要：Many problems with underlying variational structure involve a coupling of volume with surface effects.A straight-forward approach in a finite element discretiza- tion is to make use of the surface triangulation that is naturally induced by the volume *** an adaptive method one wants to facilitate matching local mesh modifications,i.e.,local refinement and/or coarsening,of volume and surface mesh with standard tools such that the surface grid is always induced by the volume grid. We describe the concepts behind this approach for bisectional refinement and describe new tools incorporated in the finite element toolbox *** also present several important applications of the mesh coupling.