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
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

Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation.
CoRR, 2023

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

hp-Multigrid preconditioner for a divergence-conforming HDG scheme for the incompressible flow problems.
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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