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COMBINED ALGORITHM OF DOMAIN DECOMPOSITION AND h -ADAPTATION FOR THE SOLUTION OF CONTACT PROBLEMS OF ELASTICITY

机译:域分解与h适应的组合算法求解弹性接触问题

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摘要

We propose a combined algorithm for the solution of the problems of contact of elastic bodies. This algorithm combines the iterative method of domain decomposition and the h -adaptive scheme based on the comparison of the results of the finite-element and boundary-element methods. The numerical analysis of a test problem shows that the mesh refinement performed by using the proposed algorithm reveals singularities of the stress field near the contact area and the total number of unknowns significantly decreases, as compared with the case of uniform partition.
机译:我们提出了一种用于解决弹性体接触问题的组合算法。该算法在比较有限元法和边界元法的结果的基础上,将域分解的迭代方法与h自适应方案相结合。对一个测试问题的数值分析表明,与均匀分配的情况相比,使用该算法进行的网格细化显示了接触区域附近应力场的奇异性,未知数的总数显着减少。

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  • 来源
    《Journal of Mathematical Sciences》 |2015年第4期|383-399|共17页
  • 作者单位

    Franko Lviv National University, Lviv, Ukraine;

    Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine;

    Franko Lviv National University, Lviv, Ukraine;

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