New conforming finite element divdiv complexes in three dimensions
Jun Hu, Yizhou Liang, Rui Ma, Min Zhang
TL;DR
This paper introduces the first conforming finite element divdiv complexes in 3D for cuboid and tetrahedral grids, ensuring exactness and enhanced smoothness, advancing finite element methods for complex geometries.
Contribution
It constructs the first conforming finite element divdiv complexes in three dimensions on cuboid and tetrahedral grids, with exactness and improved smoothness properties.
Findings
First conforming finite element divdiv complexes in 3D on cuboid grids
New complexes with enhanced smoothness on tetrahedral grids
Exactness of the constructed complexes
Abstract
In this paper, the first family of conforming finite element divdiv complexes on cuboid grids in three dimensions is constructed. Besides, a new family of conforming finite element divdiv complexes with enhanced smoothness on tetrahedral grids is presented. These complexes are exact in the sense that the range of each discrete map is the kernel space of the succeeding one.
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Taxonomy
TopicsDigital Image Processing Techniques · Computational Geometry and Mesh Generation · Computer Graphics and Visualization Techniques