5 papers
The coupling of mixed and primal finite element methods for the coupled body-plate problem
Jun Hu, Zhen Liu, Rui Ma
This paper considers the coupled problem of a three-dimensional elastic body and a two-dimensional plate, which are rigidly connected at their interface. The plate consists of a pl…
A direct finite element method for elliptic interface problems
Jun Hu, Limin Ma
In this paper, a direct finite element method is proposed for solving interface problems on unfitted meshes. This new method treats the two interface conditions as an $H^{\frac12}(…
Optimality of adaptive mixed finite element methods for the Kirchhoff-Love plate bending problem
Jun Hu, Rui Ma, Min Zhang
This paper presents a reliable and efficient residual-based a posteriori error analysis for the symmetric mixed finite element method for…
A nodal basis for the - finite elements on 5D simplex grids
Jun Hu, Shangyou Zhang
We construct a nodal basis for the 5-dimensional finite element space of polynomial degree on simplex grids, where the finite element functions are on the 6 4D-sim…
Lower order mixed elements for the linear elasticity problem in 2D and 3D
Jun Hu, Rui Ma, Yuanxun Sun
In this paper, we construct two lower order mixed elements for the linear elasticity problem in the Hellinger-Reissner formulation, one for the 2D problem and one for the 3D proble…