Guosheng Fu

Orcid: 0000-0002-4578-924X

According to our database1, Guosheng Fu authored at least 41 papers between 2014 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
hp-Multigrid Preconditioner for a Divergence-Conforming HDG Scheme for the Incompressible Flow Problems.
J. Sci. Comput., July, 2024

Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation.
J. Comput. Phys., 2024

Mean field control of droplet dynamics with high order finite element computations.
CoRR, 2024

2023
High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems.
J. Comput. Phys., October, 2023

High order computation of optimal transport, mean field planning, and potential mean field games.
J. Comput. Phys., October, 2023

High-order variational Lagrangian schemes for compressible fluids.
J. Comput. Phys., October, 2023

Time-adaptive partitioned method for fluid-structure interaction problems with thick structures.
J. Comput. Phys., 2023

Two Finite Element Approaches For The Porous Medium Equation That Are Positivity Preserving And Energy Stable.
CoRR, 2023

High order computation of optimal transport, mean field planning, and mean field games.
CoRR, 2023

2022
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model.
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.
J. Sci. Comput., 2022

A hybridizable discontinuous Galerkin method on unfitted meshes for single-phase Darcy flow in fractured porous media.
CoRR, 2022

Optimal geometric multigrid preconditioners for HDG-P0 schemes for the reaction-diffusion equation and the generalized Stokes equations.
CoRR, 2022

2021
Uniform Auxiliary Space Preconditioning for HDG Methods for Elliptic Operators with a Parameter Dependent Low Order Term.
SIAM J. Sci. Comput., 2021

Locking-Free and Gradient-Robust ${\varvec{H}}({{\, \mathrm{{\text {div}}}\, }})$-Conforming HDG Methods for Linear Elasticity.
J. Sci. Comput., 2021

A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations.
J. Sci. Comput., 2021

A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media.
CoRR, 2021

High-order space-time finite element methods for the Poisson-Nernst-Planck equations: Positivity and unconditional energy stability.
CoRR, 2021

Uniform block diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes problem and linear elasticity.
CoRR, 2021

Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for fluid-structure interaction.
CoRR, 2021

2020
Exact smooth piecewise polynomial sequences on Alfeld splits.
Math. Comput., 2020

POD-(H)DG Method for Incompressible Flow Simulations.
J. Sci. Comput., 2020

A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow.
J. Comput. Phys., 2020

Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity.
CoRR, 2020

Detection of peripherally inserted central catheter (PICC) in chest X-ray images: A multi-task deep learning model.
Comput. Methods Programs Biomed., 2020

2019
An Explicit Divergence-Free DG Method for Incompressible Magnetohydrodynamics.
J. Sci. Comput., 2019

A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs.
J. Sci. Comput., 2019

Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation.
J. Sci. Comput., 2019

Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems.
J. Comput. Phys., 2019

An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation.
J. Comput. Appl. Math., 2019

Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces.
CoRR, 2019

A high-order HDG method for the Biot's consolidation model.
Comput. Math. Appl., 2019

2018
Discrete H<sup>1</sup>-Inequalities for Spaces Admitting M-Decompositions.
SIAM J. Numer. Anal., 2018

A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow.
J. Sci. Comput., 2018

Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations.
J. Sci. Comput., 2018

2017
A Systematic Construction of Finite Element Commuting Exact Sequences.
SIAM J. Numer. Anal., 2017

Superconvergence by M-decompositions. Part I: General theory for HDG methods for diffusion.
Math. Comput., 2017

A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws.
J. Comput. Phys., 2017

2016
The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow.
J. Sci. Comput., 2016

2014
The Staggered DG Method is the Limit of a Hybridizable DG Method.
SIAM J. Numer. Anal., 2014

First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems.
Comput. Math. Appl., 2014


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