9 citations · 9 across the 2 of their papers we have counts for
5 papers
On the Activation Function Dependence of the Spectral Bias of Neural Networks
Qingguo Hong, Jonathan W. Siegel, Qinyang Tan +1
Neural networks are universal function approximators which are known to generalize well despite being dramatically overparameterized. We study this phenomenon from the point of vie…
An Abstract Stabilization Method with Applications to Nonlinear Incompressible Elasticity
Qingguo Hong, Chunmei Liu, Jinchao Xu
In this paper, we propose and analyze an abstract stabilized mixed finite element framework that can be applied to nonlinear incompressible elasticity problems. In the abstract sta…
Robust block preconditioners for poroelasticity
Shuangshuang Chen, Qingguo Hong, Jinchao Xu +1
In this paper we study the linear systems arising from discretized poroelasticity problems. We formulate one block preconditioner for the two-filed Biot model and several precondit…
Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot's consolidation and multiple-network poroelasticity models
Qingguo Hong, Johannes Kraus, Maria Lymbery +1
This work is concerned with the iterative solution of systems of quasi-static multiple-network poroelasticity (MPET) equations describing flow in elastic porous media that is perme…
An Extended Galerkin Analysis for Elliptic Problems
Qingguo Hong, Shuonan Wu, Jinchao Xu
A general analysis framework is presented in this paper for many different types of finite element methods (including various discontinuous Galerkin methods). For second order elli…