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

被引:288
|
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
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
下载
收藏
页码:103 / 119
页数:17
相关论文
共 50 条
  • [21] A Generic Framework for Building Heterogeneous Simulations of Parallel and Distributed Computing Systems
    Dursun, Taner
    Dag, Hasan
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2017, 42 (08) : 3357 - 3373
  • [22] Teaching grid computing in North Carolina: Part I
    University of North Carolina Charlotte
    不详
    IEEE Distrib. Syst. Online, 2006, 6
  • [23] A grid middleware for aggregating scientific computing libraries and parallel programming environments
    Gui, XL
    Wang, Q
    Qian, DP
    ADVANCED WEB TECHNOLOGIES AND APPLICATIONS, 2004, 3007 : 671 - 676
  • [24] Reconfiguration of information management framework based on adaptive grid computing
    Song, Eun-Ha
    Han, Sung-Kook
    Yang, Laurence T.
    Jeong, Young-Sik
    PARALLEL AND DISTRIBUTED PROCESSING AND APPLICATIONS, 2006, 4330 : 538 - +
  • [25] Coarse-grained distributed parallel programming interface for grid computing
    Wu, YW
    Wang, Q
    Yang, GW
    Zheng, WM
    GRID AND COOPERATIVE COMPUTING, PT 1, 2004, 3032 : 255 - 258
  • [27] An extensible scientific computing resources integration framework based on grid service
    Cui, Binge
    Chen, Xin
    Song, Pingjian
    Liu, Rongjie
    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2009, 5738 LNCS : 224 - 231
  • [28] An Extensible Scientific Computing Resources Integration Framework Based on Grid Service
    Cui, Binge
    Chen, Xin
    Song, Pingjian
    Liu, Rongjie
    COOPERATIVE DESIGN, VISUALIZATION, AND ENGINEERING, PROCEEDINGS, 2009, 5738 : 224 - +
  • [29] A Software Framework to Support Adaptive Applications in Distributed/Parallel Computing
    Liu, Hao
    Nazir, Amril
    Sorensen, Soren-Aksel
    HPCC: 2009 11TH IEEE INTERNATIONAL CONFERENCE ON HIGH PERFORMANCE COMPUTING AND COMMUNICATIONS, 2009, : 563 - 570
  • [30] A Generic Approach to Connector Architectures Part I: The General Framework
    Orejas, Fernando
    Ehrig, Hartmut
    Klein, Markus
    Padberg, Julia
    Pino, Elvira
    Perez, Sonia
    FUNDAMENTA INFORMATICAE, 2010, 99 (01) : 63 - 93