Structural Engineering and Mechanics

  • 제14권6호
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  • Pages.625-647
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  • 2002
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Automatic decomposition of unstructured meshes employing genetic algorithms for parallel FEM computations

  • Rama Mohan Rao, A. (Structural Engineering Research Centre, CSIR Campus) ;
  • Appa Rao, T.V.S.R. (Structural Engineering Research Centre, CSIR Campus) ;
  • Dattaguru, B. (Department of Aerospace Engineering, Indian Institute of Science)
  • 투고 : 2001.12.11
  • 심사 : 2002.10.09
  • 발행 : 2002.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

Parallel execution of computational mechanics codes requires efficient mesh-partitioning techniques. These mesh-partitioning techniques divide the mesh into specified number of submeshes of approximately the same size and at the same time, minimise the interface nodes of the submeshes. This paper describes a new mesh partitioning technique, employing Genetic Algorithms. The proposed algorithm operates on the deduced graph (dual or nodal graph) of the given finite element mesh rather than directly on the mesh itself. The algorithm works by first constructing a coarse graph approximation using an automatic graph coarsening method. The coarse graph is partitioned and the results are interpolated onto the original graph to initialise an optimisation of the graph partition problem. In practice, hierarchy of (usually more than two) graphs are used to obtain the final graph partition. The proposed partitioning algorithm is applied to graphs derived from unstructured finite element meshes describing practical engineering problems and also several example graphs related to finite element meshes given in the literature. The test results indicate that the proposed GA based graph partitioning algorithm generates high quality partitions and are superior to spectral and multilevel graph partitioning algorithms.

키워드

참고문헌

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피인용 문헌

  1. Distributed evolutionary multi-objective mesh-partitioning algorithm for parallel finite element computations vol.87, pp.23-24, 2009, https://doi.org/10.1016/j.compstruc.2009.05.006
  2. Parallel mesh-partitioning algorithms for generating shape optimised partitions using evolutionary computing vol.40, pp.2, 2009, https://doi.org/10.1016/j.advengsoft.2008.03.017
  3. A new parallel overlapped domain decomposition method for nonlinear dynamic finite element analysis vol.81, pp.26-27, 2003, https://doi.org/10.1016/S0045-7949(03)00312-2
  4. Multilevel graph partitioning: an evolutionary approach vol.56, pp.5, 2005, https://doi.org/10.1057/palgrave.jors.2601837
  5. A mesh partitioning algorithm for generation of shape optimized submeshes using evolutionary computing vol.3, pp.3, 2008, https://doi.org/10.1556/Pollack.3.2008.3.8
  6. An optimized mesh partitioning in FEM based on element search technique vol.23, pp.5, 2019, https://doi.org/10.12989/cac.2019.23.5.311