3 papers
math.NA2023
A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration
Qijia Zhai, Qingguo Hong, Xiaoping Xie
In this paper, we develop a new reduced basis (RB) method, named as Single Eigenvalue Acceleration Method (SEAM), for second-order parabolic equations with homogeneous Dirichlet bo…
math.NA2022
A sharp Korn's inequality for piecewise space and its application
Qingguo Hong, YounJu Lee, Jinchao Xu
In this paper, we revisit Korn's inequality for the piecewise space based on general polygonal or polyhedral decompositions of the domain. Our Korn's inequality is expressed…
math.NA2022
Generalized Korn's Inequalities for Piecewise Vector Fields
David M. Williams, Qingguo Hong
The purpose of this paper is to construct a new class of discrete generalized Korn's inequalities for piecewise H2 vector fields in three-dimensional space. The resulting Korn's in…