Distributed Point Objects. A New Concept for Parallel Finite Elements

  • Christian Wieners
Conference paper

DOI: 10.1007/3-540-26825-1_14

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 40)
Cite this paper as:
Wieners C. (2005) Distributed Point Objects. A New Concept for Parallel Finite Elements. In: Barth T.J. et al. (eds) Domain Decomposition Methods in Science and Engineering. Lecture Notes in Computational Science and Engineering, vol 40. Springer, Berlin, Heidelberg

Summary

We present a new concept for the realization of finite element computations on parallel machines with distributed memory. The parallel programming model is based on a dynamic data structure addressed by points. All geometric objects (cells, faces, edges) are referenced by their midpoints, and all algebraic data structures (vectors and matrices) are tied to the nodal points of the finite elements. The parallel distribution of all objects is determined by processor lists assigned to the reference points.

Based on this new model for Distributed Point Objects (DPO) a first application to a geotechnical application with Taylor-Hood elements on hexahedra has been presented in Wieners et al. [2004]. Here, we consider the extension to parallel refinement, curved boundaries, and multigrid preconditioners. Finally, we present parallel results for a nonlinear model problem with isoparametric cubic elements.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Christian Wieners
    • 1
  1. 1.Institut für Praktische MathematikUniversität KarlsruheKarlsruheGermany

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