Unified Construction of Tensor-Valued Finite Elements on Simplices Using Polytopal Templates

This work introduces a unified method for constructing the basis functions of a wide variety of partially continuous tensor-valued finite elements on simplices using polytopal templates. The proposed approach allows for the construction of well-known elements such as Regge, Hellan-Herrmann-Johnson, Pechstein-Schöberl, Hu-Zhang, Hu-Ma-Sun, and Gopalakrishnan-Lederer-Schöberl elements.