Submitted

Hybridizable Symmetric stress elements on the barycentric refinement in Arbitrary Dimensions

Long Chen and Xuehai Huang

Submitted

Coming soon   Bibtex coming soon

ABSTRACT:

 Hybridizable H(div)-conforming finite elements for symmetric
 tensors on simplices with barycentric refinement are developed in
 this work for arbitrary dimen- sions and any polynomial order. By
 employing barycentric refinement and an intrinsic tangential-normal
 (t-n) decomposition, novel basis functions are constructed to redis-
 tribute degrees of freedom while preserving H(div)-conformity and
 symmetry, and ensuring inf-sup stability. These hybridizable
 elements enhance computational flexibility and efficiency, with
 applications to mixed finite element methods for linear elasticity.