Si-en Gong

activity

20182023

collaborators

4 papers

math.NA2023

Discrete Elasticity Exact Sequences on Worsey-Farin Splits

Sining Gong, Jay Gopalakrishnan, Johnny Guzmán +1

We construct conforming finite element elasticity complexes on Worsey-Farin splits in three dimensions. Spaces for displacement, strain, stress, and the load are connected in the e…

math.NA2022

A Note on the Shape Regularity of Worsey-Farin Splits

Sining Gong, Johnny Guzmán, Michael Neilan

We prove three-dimensional Worsey-Farin refinements inherit their parent triangulations' shape-regularity.

math.NA2022

Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D

Daniele Boffi, Sining Gong, Johnny Guzmán +1

We prove convergence of the Maxwell eigenvalue problem using quadratic or higher Lagrange finite elements on Worsey-Farin splits in three dimensions. To do this, we construct two F…

math.DG2018

Locally Removable Singularities for Kähler Metrics with Constant Holomorphic Sectional Curvature

Si-en Gong, Hongyi Liu, Bin Xu

Let $n \geq 2$ be an integer, and $B^{n} \subset C^{n}$ the unit ball. Let $K \subset B^{n}$ be a compact subset such that $B^{n} ∖ K$ is connected, or $K=\{z=(z_1,\cdots…