4 papers
Hybridizable Staggered Discontinuous Galerkin Methods for Polyharmonic Equations on Polytopes
Long Chen, Xuehai Huang, Yule Sun +1
Hybridizable staggered discontinuous Galerkin methods are developed for arbitrary-order polyharmonic equations on shape-regular polytopal meshes in , for…
A Staggered Discontinuous Galerkin Method for linear elasticity problem on Polytopal Meshes
Long Chen, Xuehai Huang, Ruishu Wang +1
This paper develops a novel staggered discontinuous Galerkin (SDG) method for linear elasticity based on the Hellinger-Reissner variational principle. We construct symmetric stress…
Hybridizable Symmetric Stress Elements on the Barycentric Refinement in Arbitrary Dimensions
Long Chen, Xuehai Huang
Hybridizable \(H(\textrm{div})\)-conforming finite elements for symmetric tensors on simplices with barycentric refinement are developed in this work for arbitrary dimensions and a…
A Primal Staggered Discontinuous Galerkin Method on Polytopal Meshes
L. Chen, X. Huang, E. Park +1
This paper introduces a novel staggered discontinuous Galerkin (SDG) method tailored for solving elliptic equations on polytopal meshes. Our approach utilizes a primal-dual grid fr…