论文标题
在部分倒置的六面体元素上迈向纠结的有限元分析
Towards tangled finite element analysis over partially inverted hexahedral elements
论文作者
论文摘要
如果有限的元素网格包含凹元素，则据说会纠结。在网格生成，网格优化和大型变形模拟过程中可能会发生纠结的网格，并在有限元分析过程中导致错误的结果。最近，作者引入了纠结的有限元方法（TFEM），以准确处理纠结的2D凹面四边形元素。在本文中，TFEM延伸到3D六面体元素。我们证明，TFEM在纠结的六面体元素上取得了准确的结果，需要对现有的FEM框架的最小变化。
If a finite element mesh contains concave elements, it is said to tangled. Tangled meshes can occur during mesh generation, mesh optimization, and large deformation simulations, and will lead to erroneous results during finite element analysis. Recently, the authors introduced the tangled finite element method (TFEM) to accurately handle tangled 2D concave quadrilateral elements. In this paper, TFEM is extended to 3D hexahedral elements. We demonstrate that TFEM leads to accurate results over tangled hexahedral elements, requiring minimal changes to existing FEM framework.
