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Optimal Finite Element Approach for Elasticity Problems on Nonsmooth Domain in R3

  • Benqi Guo
Conference paper

Abstract

In engineering practice the three-dimensional elasticity problems are often solved numerically on domains which are unions of simple subjects such as cylinders, balls and cones. The intersections of these simple subjects yield vertices and edges where singularities of solutions may occur. The singularities affect the efficiency and effectiveness of the computation, and the conventional numerical approaches may fail to achieve the desired accuracy in practical engineering range if the singularities of the solutions are very severe.

Keywords

Elasticity Problem Finite Element Solution Exponential Convergence Optimal Convergence Lame Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    B.Q. Guo, The h-p version of finite element method for solving boundary value problems in polyhedral domains, Boundary Value Problems and Integral Equations in Nonsmooth Domain, M. Costabel, M. Dauge and S. Nicaise, eds., Marcel Dekker Inc., (1994) pp.101–120.Google Scholar
  2. [2]
    I. Babuška and B.Q. Guo, The h — p version of finite element method in three dimensions, to appear (1995).Google Scholar
  3. [3]
    I. Babuška and B.Q. Guo, Approximation properties of the h — p version of the finite element method, Tech Note BN-1177 (1994).Google Scholar
  4. [4]
    B.Q. Guo and I. Babuska, The regularity of solution for problein on nonsmooth domains in R 3, to appear (1995).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Benqi Guo
    • 1
  1. 1.University of ManitobaWinnipegCanada

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