List of works - Guosheng Fu

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

scientific article published in 2019

A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations

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

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

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

A Systematic Construction of Finite Element Commuting Exact Sequences

scientific article published in January 2017

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

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

A linear second-order in time unconditionally energy stable finite element scheme for a Cahn–Hilliard phase-field model for two-phase incompressible flow of variable densities

A lowest-order composite finite element exact sequence on pyramids

scientific article published in September 2017

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

scientific article published in October 2017

A note on the devising of superconvergent HDG methods for Stokes flow byM-decompositions

scientific article published in July 2016

An Explicit Divergence-Free DG Method for Incompressible Magnetohydrodynamics

An analysis of HDG methods for convection-dominated diffusion problems

scientific article published in January 2015

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

An explicit divergence-free DG method for incompressible flow

Analysis of an HDG method for linear elasticity

scientific article published on 21 October 2014

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

scientific article published in August 2020

Bernstein–Bézier bases for tetrahedral finite elements

Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by M-decompositions

Discrete $H^1$-Inequalities for Spaces Admitting M-Decompositions

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

Exact smooth piecewise polynomial sequences on Alfeld splits

scientific article published on 13 January 2020

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

scientific article published in December 2014

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

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

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

scientific article published on 3 February 2021

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

POD-(H)DG Method for Incompressible Flow Simulations

scientific article published on 18 October 2020

Parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations

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

scientific article published on 16 November 2016

Superconvergence byM-decompositions. Part II: Construction of two-dimensional finite elements

scientific article published on 28 November 2016

Superconvergence byM-decompositions. Part III: Construction of three-dimensional finite elements

scientific article published on 23 December 2016

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

scientific article published in January 2014

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

scientific article published on 2 June 2015

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

scientific article published in January 2023

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

scientific article published in January 2021

List of works by Guosheng Fu