A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. - Qingguo Hong; Johannes Kraus 001; Jinchao Xu; Ludmil T. Zikatanov (Numerische Mathematik, 2016)

Uniformly Stable Discontinuous Galerkin Discretization and Robust Iterative Solution Methods for the Brinkman Problem. - Qingguo Hong; Johannes Kraus 001 (SIAM J. Numer. Anal., 2016)

Extended Galerkin Method. - Qingguo Hong; Shuonan Wu; Jinchao Xu (CoRR, 2019)

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 001; Maria Lymbery; Fadi Philo (CoRR, 2019)

Conservative discretizations and parameter-robust preconditioners for Biot and multiple-network flux-based poroelasticity models. - Qingguo Hong; Johannes Kraus 001; Maria Lymbery; Fadi Philo (Numer. Linear Algebra Appl., 2019)

Robust block preconditioners for poroelasticity. - Shuangshuang Chen; Qingguo Hong; Jinchao Xu; Kai Yang (CoRR, 2020)

An Extended Galerkin Analysis for Linear Elasticity with Strongly Symmetric Stress Tensor. - Qingguo Hong; Jun Hu 013; Limin Ma; Jinchao Xu (CoRR, 2020)

An Abstract Stabilization Method with Applications to Nonlinear Incompressible Elasticity. - Qingguo Hong; Chunmei Liu; Jinchao Xu (CoRR, 2020)

Parameter-Robust Convergence Analysis of Fixed-Stress Split Iterative Method for Multiple-Permeability Poroelasticity Systems. - Qingguo Hong; Johannes Kraus 001; Maria Lymbery; Mary F. Wheeler (Multiscale Model. Simul., 2020)

A new framework for the stability analysis of perturbed saddle-point problems and applications in poromechanics. - Qingguo Hong; Johannes Kraus 001; Maria Lymbery; Fadi Philo (CoRR, 2021)

New discontinuous Galerkin algorithms and analysis for linear elasticity with symmetric stress tensor. - Qingguo Hong; Jun Hu 013; Limin Ma; Jinchao Xu (Numerische Mathematik, 2021)

Generalized Korn's Inequalities for Piecewise H2 Vector Fields. - David M. Williams; Qingguo Hong (CoRR, 2022)

An efficient iterative method for dynamical Ginzburg-Landau equations. - Qingguo Hong; Limin Ma; Jinchao Xu (CoRR, 2022)

A sharp Korn's inequality for piecewise H1 space and its application. - Qingguo Hong; YounJu Lee; Jinchao Xu (CoRR, 2022)

On the Activation Function Dependence of the Spectral Bias of Neural Networks. - Qingguo Hong; Qinyang Tan; Jonathan W. Siegel; Jinchao Xu (CoRR, 2022)

Robust Approximation of Generalized Biot-Brinkman Problems. - Qingguo Hong; Johannes Kraus 001; Miroslav Kuchta; Maria Lymbery; Kent-André Mardal; Marie E. Rognes (J. Sci. Comput., 2022)

An extended Galerkin analysis in finite element exterior calculus. - Qingguo Hong; Yuwen Li 001; Jinchao Xu (Math. Comput., 2022)

A new practical framework for the stability analysis of perturbed saddle-point problems and applications. - Qingguo Hong; Johannes Kraus 001; Maria Lymbery; Fadi Philo (Math. Comput., 2022)

A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration. - Qijia Zhai; Qingguo Hong; Xiaoping Xie (CoRR, 2023)

Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons. - Wenrui Hao; Qingguo Hong; Xianlin Jin; Yiran Wang (CoRR, 2023)

An efficient iterative method for dynamical Ginzburg-Landau equations. - Qingguo Hong; Limin Ma; Jinchao Xu; Long-Qing Chen (J. Comput. Phys., 2023)

Greedy training algorithms for neural networks and applications to PDEs. - Jonathan W. Siegel; Qingguo Hong; Xianlin Jin; Wenrui Hao; Jinchao Xu (J. Comput. Phys., 2023)

Greedy Algorithm for Neural Networks for Indefinite Elliptic Problems. - Qingguo Hong; Jiwei Jia; Young Ju Lee; Ziqian Li (CoRR, 2024)

Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons. - Wenrui Hao; Qingguo Hong; Xianlin Jin (J. Sci. Comput., 2024)

On The Sharpness of a Korn's Inequality For Piecewise H1 Space and Its Applications. - Qingguo Hong; Young-Ju Lee; Jinchao Xu (J. Sci. Comput., 2025)