Guosheng Fu

According to our database, Guosheng Fu authored at least 43 papers between 2014 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Two Finite Element Approaches for the Porous Medium Equation That Are Positivity Preserving and Energy Stable.

Arjun Vijaywargiya, Guosheng Fu

J. Sci. Comput., September, 2024

hp-Multigrid Preconditioner for a Divergence-Conforming HDG Scheme for the Incompressible Flow Problems.

Guosheng Fu, Wenzheng Kuang

J. Sci. Comput., July, 2024

Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation.

Guosheng Fu, Stanley J. Osher, Will Pazner, Wuchen Li

J. Comput. Phys., 2024

A locally-conservative proximal Galerkin method for pointwise bound constraints.

Guosheng Fu, Brendan Keith, Rami Masri

CoRR, 2024

Mean field control of droplet dynamics with high order finite element computations.

Guosheng Fu, Hangjie Ji, Will Pazner, Wuchen Li

CoRR, 2024

2023

High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems.

Guosheng Fu, Stanley J. Osher, Wuchen Li

J. Comput. Phys., October, 2023

High order computation of optimal transport, mean field planning, and potential mean field games.

Guosheng Fu, Siting Liu, Stanley J. Osher, Wuchen Li

J. Comput. Phys., October, 2023

High-order variational Lagrangian schemes for compressible fluids.

Guosheng Fu, Chun Liu

J. Comput. Phys., October, 2023

Time-adaptive partitioned method for fluid-structure interaction problems with thick structures.

Martina Bukac, Guosheng Fu, Anyastassia Seboldt, Catalin Trenchea

J. Comput. Phys., 2023

High-order variational Lagrangian schemes for compressible fluids.

Guosheng Fu, Chun Liu

CoRR, 2023

High order computation of optimal transport, mean field planning, and mean field games.

Guosheng Fu, Siting Liu, Stanley J. Osher, Wuchen Li

CoRR, 2023

2022

A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model.

Guosheng Fu, Wenzheng Kuang

SIAM J. Numer. Anal., 2022

A High-Order Velocity-Based Discontinuous Galerkin Scheme for the Shallow Water Equations: Local Conservation, Entropy Stability, Well-Balanced Property, and Positivity Preservation.

Guosheng Fu

J. Sci. Comput., 2022

A hybridizable discontinuous Galerkin method on unfitted meshes for single-phase Darcy flow in fractured porous media.

Guosheng Fu, Yang Yang

CoRR, 2022

Optimal geometric multigrid preconditioners for HDG-P0 schemes for the reaction-diffusion equation and the generalized Stokes equations.

Guosheng Fu, Wenzheng Kuang

CoRR, 2022

2021

Uniform Auxiliary Space Preconditioning for HDG Methods for Elliptic Operators with a Parameter Dependent Low Order Term.

Guosheng Fu

SIAM J. Sci. Comput., 2021

Locking-Free and Gradient-Robust ${\varvec{H}}({{\, \mathrm{{\text {div}}}\, }})$-Conforming HDG Methods for Linear Elasticity.

Guosheng Fu, Christoph Lehrenfeld, Alexander Linke, Timo Streckenbach

J. Sci. Comput., 2021

A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations.

Lihong Feng, Guosheng Fu, Zhu Wang

J. Sci. Comput., 2021

A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media.

Guosheng Fu, Yang Yang

CoRR, 2021

High-order space-time finite element methods for the Poisson-Nernst-Planck equations: Positivity and unconditional energy stability.

Guosheng Fu, Zhiliang Xu

CoRR, 2021

Uniform block diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes problem and linear elasticity.

Guosheng Fu, Wenzheng Kuang

CoRR, 2021

Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for fluid-structure interaction.

Guosheng Fu

CoRR, 2021

2020

Exact smooth piecewise polynomial sequences on Alfeld splits.

Guosheng Fu, Johnny Guzmán, Michael Neilan

Math. Comput., 2020

POD-(H)DG Method for Incompressible Flow Simulations.

Guosheng Fu, Zhu Wang

J. Sci. Comput., 2020

A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow.

Guosheng Fu

J. Comput. Phys., 2020

Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity.

Guosheng Fu, Christoph Lehrenfeld, Alexander Linke, Timo Streckenbach

CoRR, 2020

Detection of peripherally inserted central catheter (PICC) in chest X-ray images: A multi-task deep learning model.

Dingding Yu, Kaijie Zhang, Lingyan Huang, Bonan Zhao, Xiaoshan Zhang, Xin Guo, Miaomiao Li, Zheng Gu, Guosheng Fu, Minchun Hu, Yan Ping, Ye Sheng, Zhenjie Liu, Xianliang Hu, Ruiyi Zhao

Comput. Methods Programs Biomed., 2020

2019

An Explicit Divergence-Free DG Method for Incompressible Magnetohydrodynamics.

Guosheng Fu

J. Sci. Comput., 2019

A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs.

Gang Chen, Guosheng Fu, John R. Singler, Yangwen Zhang

J. Sci. Comput., 2019

Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation.

Mark Ainsworth, Guosheng Fu

J. Sci. Comput., 2019

Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems.

Guosheng Fu, Chi-Wang Shu

J. Comput. Phys., 2019

An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation.

Guosheng Fu, Chi-Wang Shu

J. Comput. Appl. Math., 2019

Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces.

Guosheng Fu

CoRR, 2019

A high-order HDG method for the Biot's consolidation model.

Guosheng Fu

Comput. Math. Appl., 2019

2018

Discrete H¹-Inequalities for Spaces Admitting M-Decompositions.

Bernardo Cockburn, Guosheng Fu, Weifeng Qiu

SIAM J. Numer. Anal., 2018

A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow.

Guosheng Fu, Christoph Lehrenfeld

J. Sci. Comput., 2018

Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations.

Mark Ainsworth, Guosheng Fu

J. Sci. Comput., 2018

2017

A Systematic Construction of Finite Element Commuting Exact Sequences.

Bernardo Cockburn, Guosheng Fu

SIAM J. Numer. Anal., 2017

Superconvergence by M-decompositions. Part I: General theory for HDG methods for diffusion.

Bernardo Cockburn, Guosheng Fu, Francisco-Javier Sayas

Math. Comput., 2017

A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws.

Guosheng Fu, Chi-Wang Shu

J. Comput. Phys., 2017

2016

The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow.

Eric T. Chung, Bernardo Cockburn, Guosheng Fu

J. Sci. Comput., 2016

2014

The Staggered DG Method is the Limit of a Hybridizable DG Method.

Eric T. Chung, Bernardo Cockburn, Guosheng Fu

SIAM J. Numer. Anal., 2014

First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems.

Huangxin Chen, Guosheng Fu, Jingzhi Li, Weifeng Qiu

Comput. Math. Appl., 2014