Automated Recognition of Adaptation Regions for Finite Element Meshes in Three-Dimensional Problems

In simulation of processes using finite element method obtaining a sufficient precision of computation can be achieved by applying advanced mesh adaptation techniques. Such techniques have a substantial computational cost and their implementation as fully automated procedures is a difficult task. The goal of the work carried by the authors is development of remeshing algorithms with an automated identification of subdomains, where the mesh needs to be adjusted. In a single adaptation step the area of required adjustment may be small or more widespread. If such area is limited to several neighbouring elements it is sufficient to insert some vertices, move some nodes, or perform small topological corrections. If, however, the area contains more elements, it may be necessary to remesh the whole cavity created by removing those elements. If the number of adjusted areas is too high or the areas are unfavourably located, the new mesh has to be created for the whole domain. In the article various aspects of the efficiency of the remeshing techniques mentioned above are considered.