Long Chen, Xuehai Huang
Published 2023-05-19Version 1
A new $H(\textrm{divdiv})$-conforming finite element is presented, which avoids the need for super-smoothness by redistributing the degrees of freedom to edges and faces. This leads to a hybridizable mixed method for the biharmonic equation. Moreover, new weak Galerkin and $C^0$ discontinuous Galerkin methods for the biharmonic equation are derived. Finally, new finite element divdiv complexes are established.
A mixed finite element method with piecewise linear elements for the biharmonic equation on surfaces
A mixed finite element method on polytopal mesh
An optimal error estimate for a mixed finite element method for a biharmonic problem with clamped boundary conditions
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