HR: 0800h
AN: NS11A-0164    [Abstracts]
TI: Object-oriented philosophy in designing adaptive finite-element package for 3D elliptic deferential equations
AU: * ZhengYong, R
EM: renzhengyong@gmail.com
AF: School of Info-physics and Geomatics Engineering, Central South University, ChangSha, 410083, China
AU: JingTian, T
EM: jttang@mail.csu.edu.cn
AU: ChangSheng, L
EM: lcs888_2002@163.com
AU: Xiao, X
EM: csuxiao@gmail.com
AB: Although adaptive finite-element (AFE) analysis is becoming more and more focused in scientific and engineering fields, its efficient implementations are remain to be a discussed problem as its more complex procedures. In this paper, we propose a clear C++ framework implementation to show the powerful properties of Object-oriented philosophy (OOP) in designing such complex adaptive procedure. In terms of the modal functions of OOP language, the whole adaptive system is divided into several separate parts such as the mesh generation or refinement, a-posterior error estimator, adaptive strategy and the final post processing. After proper designs are locally performed on these separate modals, a connected framework of adaptive procedure is formed finally. Based on the general elliptic deferential equation, little efforts should be added in the adaptive framework to do practical simulations. To show the preferable properties of OOP adaptive designing, two numerical examples are tested. The first one is the 3D direct current resistivity problem in which the powerful framework is efficiently shown as only little divisions are added. And then, in the second induced polarization£¨IP£©exploration case, new adaptive procedure is easily added which adequately shows the strong extendibility and re-usage of OOP language. Finally we believe based on the modal framework adaptive implementation by OOP methodology, more advanced adaptive analysis system will be available in future.
DE: 0545 Modeling (4255)
DE: 0560 Numerical solutions (4255)
DE: 0599 General or miscellaneous
DE: 0903 Computational methods: potential fields (1214)
DE: 0925 Magnetic and electrical methods (5109)
SC: Near-Surface Geophysics [NS]
MN: 2007 Fall Meeting