
Finite elements for divdivconforming symmetric tensors in three dimensions
Two types of finite element spaces on a tetrahedron are constructed for ...
read it

A finite element elasticity complex in three dimensions
A finite element elasticity complex on tetrahedral meshes is devised. Th...
read it

A family of mixed finite elements for the biharmonic equations on triangular and tetrahedral grids
This paper introduces a new family of mixed finite elements for solving ...
read it

Finite elements for divdivconforming symmetric tensors in arbitrary dimension
Several divconforming and divdivconforming finite elements for symmetr...
read it

A general theory for anisotropic KirchhoffLove shells with embedded fibers and inplane bending
In this work we present a generalized KirchhoffLove shell theory that c...
read it

Collapse capacity of masonry domes under horizontal loads: A static limit analysis approach
A static limit analysis approach is proposed for assessing the collapse ...
read it

Threefield mixed finite element methods for nonlinear elasticity
In this paper, we extend the tangentialdisplacement normalnormalstres...
read it
Finite elements for divdivconforming symmetric tensors
Two types of finite element spaces on triangles are constructed for divdiv conforming symmetric tensors. Besides the normalnormal continuity, the stress tensor is continuous at vertices and another trace involving combination of derivatives of stress is identified. Polynomial complex, finite element complex, and Hilbert complex are presented and a commuting diagram between them is given. The constructed divdiv conforming elements are exploited to discretize the mixed formulation of the biharmonic equation. Optimal order and superconvergence error analysis is provided. By rotation, finite elements for rotrot conforming symmetric strain are also obtained.
READ FULL TEXT
Comments
There are no comments yet.