Perfectly nested finite element spaces using generalized hanging variables

Summayr form only given. Starting from an initial mesh, discretizations of higher resolution can be constructed very easily by partitioning existing finite elements (FEs) recursively (Rude, U., 1993). Besides guaranteeing a lower bound on mesh quality, the resulting nested structure adds a high degree of regularity to the FE discretization, which greatly simplifies the application of fast geometrical multigrid solvers. At the same time,...