Locking-free DGFEM for elasticity problems in polygons
Locking-free DGFEM for elasticity problems in polygons
复制标题
用于解决多边形弹性问题的无锁定 DGFEM
DOI：
10.3929/ethz-a-004401327
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
T. Wihler
中科院分区：
文献类型：
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作者：
T. Wihler
本文分析了近似不可压多边形线弹性问题的h型间断伽辽金有限元法（h-DGFEM）。它被证明是鲁棒的（锁定自由）相对于体积锁定，即使在没有H2正则性的解决方案。此外，它表明，一个适当的选择的有限元网格导致强大的和最佳的代数收敛速度的DGFEM，即使精确解不属于H2。
The h-version of the discontinuous Galerkin finite element method (h-DGFEM) for nearly incompressible linear elasticity problems in polygons is analysed. It is proved that the scheme is robust (locking-free) with respect to volume locking, even in the absence of H 2 -regularity of the solution. Furthermore, it is shown that an appropriate choice of the finite element meshes leads to robust and optimal algebraic convergence rates of the DGFEM even if the exact solutions do not belong to H 2 .