One of the biggest challenges in optimizing the shape of complex solids is the requirement to maintain a reasonable mesh quality not only at the boundary but also for the bulk discretization of the interior. Thus, additional regularization and, in many cases, re-meshing of the structure during the iterative process is unavoidable with a Lagrangian description. By tracking the shape update using an Eulerian representation, embedded boundary methods are a promising technique for eliminating mesh distortion problems.

中文翻译：

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使用隐式顶点变形对嵌入实体进行形状优化

优化复杂实体形状的最大挑战之一是不仅需要在边界处保持合理的网格质量，而且还需要在内部的整体离散化方面保持合理的网格质量。因此，使用拉格朗日描述，在迭代过程中额外的正则化以及在许多情况下对结构的重新网格化是不可避免的。通过使用欧拉表示来跟踪形状更新，嵌入式边界方法是消除网格畸变问题的一种有前途的技术。