CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2005, Vol. 22 ›› Issue (5): 399-406.

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A Parallel Bisection Mesh Refinement Algorithm for Distributed Memory Parallel Computers

LIU Qing-kai1,2, ZHANG Lin-bo1   

  1. 1. State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China;
    2. Graduate School of the Chinese Academy of Sciences, Beijing 100080, China
  • Received:2005-01-10 Revised:2005-03-29 Online:2005-09-25 Published:2005-09-25
  • Supported by:
    Subsidized by the Special Funds for Major State Basic Research Projects (Grant No.2005CB321702)

Abstract: We present a parallel bisection mesh refinement algorithm based on ALBERT (Adaptive multi-Level finite element toolbox using Bisection refinement and Error control by Residual Techniques). The goal is to develop a parallel adaptive finite element code suitable for distributed memory parallel computers or PC clusters. An overview on the basic strategy for the parallelization of ALBERT is given. Issues on the parallel mesh refinement are addressed. A modified mesh refinement algorithm, which can be implemented efficiently on distributed memory parallel computers, is proposed and its properties are discussed. Numerical experiments with parallel bisection mesh refinement algorithm are shown.

Key words: adaptive finite element, bisection mesh refinement, parallel algorithm

CLC Number: