Work

Hybridizable symmetric stress elements on the barycentric refinement in arbitrary dimensions

Year: 2025

Type: article

Abstract: Hybridizable H ( d i v ) H(div) -conforming finite elements for symmetric tensors on simplices with barycentric refinement are developed in this work for arbitrary dimensions and any polynomial order. By employing barycentric refinement and an intrinsic tangential-normal decomposition, novel basis functions are constructed to redistribute degrees of freedom while preserving H ( d i v ) 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.

Source: Mathematics of Computation

DOI: 10.1090/mcom/4180

Authors: Long Chen, Xuehai Huang

Institutions: University of California, Irvine, Shanghai University of Finance and Economics

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Natural Science Foundation of China