3 papers
math.NA2018
High accuracy analysis of a nonconforming discrete Stokes complex over rectangular meshes
Xinchen Zhou, Zhaoliang Meng, Xin Fan +1
This work is devoted to the high accuracy analysis of a discrete Stokes complex over rectangular meshes with a simple structure. The 0-form in the complex is a non nonconform…
math.NA2018
Two 11-node nonconforming triangular prism elements for 3D elliptic problems
Xinchen Zhou, Zhaoliang Meng, Xin Fan +1
This work introduces two 11-node triangular prism elements for 3D elliptic problems. The degrees of freedom (DoFs) of both elements are at the vertices and face centroids of a pris…
math.NA2018
A nodal type polynomial finite element exact sequence over quadrilaterals
Xinchen Zhou, Zhaoliang Meng, Xin Fan +1
This work proposes two nodal type nonconforming finite elements over convex quadrilaterals, which are parts of a finite element exact sequence. Both elements are of 12 degrees of f…