To consistently coarsen arbitrary unstructured meshes, a computational morphogenesis process is built in conjunction with a numerical method of choice, such as the virtual element method with adaptive meshing. The morphogenesis procedure is performed by clustering elements based on a posteriori error estimation. Additionally, an edge straightening scheme is introduced to reduce the number of nodes and improve accuracy of solutions. The adaptive morphogenesis can be recursively conducted regardless of element type and mesh generation counting. To handle mesh modification events during the morphogenesis, a topology‐based data structure is employed, which provides adjacent information on unstructured meshes. Numerical results demonstrate that the adaptive mesh morphogenesis effectively handles mesh coarsening for arbitrarily shaped elements while capturing problematic regions such as those with sharp gradients or singularity.

中文翻译：

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计算形态发生：使用多边形离散化的形态构造

为了一致地粗化任意非结构化网格，结合选择的数值方法（例如具有自适应网格的虚拟元素方法）构建了计算形态发生过程。通过基于后验误差估计的元素聚类来执行形态发生过程。另外，引入了边缘拉直方案以减少节点数量并提高解决方案的准确性。无论元素类型和网格生成计数如何，都可以递归进行自适应形态发生。为了处理形态发生过程中的网格修改事件，采用了基于拓扑的数据结构，该结构提供了有关非结构化网格的相邻信息。