An element-by-element iteration procedure for the solution of discrete algebraic systems of DQ-related discrete element analysis methods

Chang-New Chen

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In recent years, some new DQ-related discrete element analysis methods were proposed by the present author. These methods are DQEM, DQFEM, DQFDM, GDQEM and GCDQEM. The performance of these numerical methods is excellent. Moreover, they have the advantage of bing suitable to consistently discretize continuum mechanics problems having arbitrarily complex geometries. They are all suitable for vector and parallel processing. In this paper, an element-by-element iteration procedure is proposed for solving the resulting discrete algebraic systems of DQ-related discrete element analysis methods. Instead of solving the assembled overall discrete algebraic systems from the DQrelated discrete element analysis methods, the solution of discrete algebraic systems can be carried out using an element-by-element iteration procedure. By using this computational procedure, the largest computation system for solving a discrete algebraic system is an element-basis. The kinematic transition conditions and natural transition conditions are used to carry out the iterative solution from one element to the next one. This iterative computation procedure is effective.

Original languageEnglish
Title of host publicationProceedings of the 10th International Conference on Computational Structures Technology, CST 2010
PublisherCivil-Comp Press
Volume93
ISBN (Print)9781905088386
Publication statusPublished - 2010 Jan 1
Event10th International Conference on Computational Structures Technology, CST 2010 - Valencia, Spain
Duration: 2010 Sep 142010 Sep 17

Other

Other10th International Conference on Computational Structures Technology, CST 2010
CountrySpain
CityValencia
Period10-09-1410-09-17

All Science Journal Classification (ASJC) codes

  • Environmental Engineering
  • Civil and Structural Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence

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  • Cite this

    Chen, C-N. (2010). An element-by-element iteration procedure for the solution of discrete algebraic systems of DQ-related discrete element analysis methods. In Proceedings of the 10th International Conference on Computational Structures Technology, CST 2010 (Vol. 93). Civil-Comp Press.