In this paper we consider the adaptive finite element solution of a general class of variational problems using a combination of node insertion, node movement and edge swapping. The adaptive strategy that is proposed is based upon the construction of a hierarchy of locally optimal meshes starting with a coarse grid for which the location and connectivity of the nodes is optimized.ududThis grid is then locally refined and the new mesh is optimized in the same manner. Results presented indicate that this approach is able to produce better meshes than those possible by more conventional adaptive strategies and in a relatively efficient manner.
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机译：在本文中，我们考虑了节点插入，节点移动和边交换的组合，来解决一类一般变分问题的自适应有限元解决方案。所提出的自适应策略是基于从粗网格开始的局部最优网格层次结构的构建，针对该粗网格优化了节点的位置和连通性。 ud ud然后对该网格进行了局部精炼并优化了新网格以相同的方式。呈现的结果表明，与通过更常规的自适应策略可能实现的网格相比，该方法能够以相对有效的方式生成更好的网格。
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