A generic grid interface for parallel and adaptive scientific computing.: Part I:: abstract framework

被引：293

作者：

Bastian, P. ^{[1
]}

Blatt, M. ^{[1
]}

Dedner, A. ^{[2
]}

Engwer, C. ^{[1
]}

Kloefkorn, R. ^{[2
]}

Ohlberger, M. ^{[3
]}

Sander, O. ^{[4
]}

机构：

[1] Univ Stuttgart, Inst Parallele & Verteilte Syst, Stuttgart, Germany

[2] Univ Freiburg, Abt Angew Math, Freiburg, Germany

[3] Univ Munster, Inst Numer & Angew Math, Munster, Germany

[4] Free Univ Berlin, Inst Math, DFG Res Ctr Matheon, D-1000 Berlin, Germany

来源：

COMPUTING | 2008年 / 82卷 / 2-3期

关键词：

DUNE; hierarchical grids; interface; finite elements; finite volumes; entity complex; geometric realization; father relation; index maps; parallelization;

D O I：

10.1007/s00607-008-0003-x

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We give a mathematically rigorous definition of a grid for algorithms solving partial differential equations. Unlike previous approaches (Benger 2005, PhD thesis; Berti 2000, PhD thesis), our grids have a hierarchical structure. This makes them suitable for geometric multigrid algorithms and hierarchical local grid refinement. The description is also general enough to include geometrically non-conforming grids. The definitions in this article serve as the basis for an implementation of an abstract grid interface as C++ classes in the framework (Bastian et al. 2008, this issue).

引用

页码：103 / 119

页数：17