Guosheng Fu

Publication Activity (10 Years)

Years Active: 2014-2024
Publications (10 Years): 50

Top Topics

Interaction Model

Top Venues

J. Sci. Comput.

J. Comput. Phys.

SIAM J. Numer. Anal.

Publications

Guosheng Fu, Stanley J. Osher, Will Pazner, Wuchen Li
Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation. J. Comput. Phys. 508 (2024)
Guosheng Fu, Wenzheng Kuang
hp-Multigrid Preconditioner for a Divergence-Conforming HDG Scheme for the Incompressible Flow Problems. J. Sci. Comput. 100 (1) (2024)
Arjun Vijaywargiya, Guosheng Fu
Two Finite Element Approaches for the Porous Medium Equation That Are Positivity Preserving and Energy Stable. J. Sci. Comput. 100 (3) (2024)
Guosheng Fu, Hangjie Ji, Will Pazner, Wuchen Li
Mean field control of droplet dynamics with high order finite element computations. CoRR (2024)
Arjun Vijaywargiya, Guosheng Fu
Two Finite Element Approaches For The Porous Medium Equation That Are Positivity Preserving And Energy Stable. CoRR (2023)
Guosheng Fu, Chun Liu
High-order variational Lagrangian schemes for compressible fluids. J. Comput. Phys. 491 (2023)
Martina Bukac, Guosheng Fu, Anyastassia Seboldt, Catalin Trenchea
Time-adaptive partitioned method for fluid-structure interaction problems with thick structures. J. Comput. Phys. 473 (2023)
Guosheng Fu, Siting Liu, Stanley J. Osher, Wuchen Li
High order computation of optimal transport, mean field planning, and potential mean field games. J. Comput. Phys. 491 (2023)
Guosheng Fu, Wenzheng Kuang
hp-Multigrid preconditioner for a divergence-conforming HDG scheme for the incompressible flow problems. CoRR (2023)
Guosheng Fu, Stanley J. Osher, Wuchen Li
High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems. CoRR (2023)
Guosheng Fu, Stanley J. Osher, Will Pazner, Wuchen Li
Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation. CoRR (2023)
Guosheng Fu, Siting Liu, Stanley J. Osher, Wuchen Li
High order computation of optimal transport, mean field planning, and mean field games. CoRR (2023)
Guosheng Fu, Stanley J. Osher, Wuchen Li
High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems. J. Comput. Phys. 491 (2023)
Guosheng Fu, Chun Liu
High-order variational Lagrangian schemes for compressible fluids. CoRR (2023)
Guosheng Fu
A high-order velocity-based discontinuous Galerkin scheme for the shallow water equations: local conservation, entropy stability, well-balanced property, and positivity preservation. CoRR (2022)
Guosheng Fu, Yang Yang
A hybridizable discontinuous Galerkin method on unfitted meshes for single-phase Darcy flow in fractured porous media. CoRR (2022)
Guosheng Fu, Wenzheng Kuang
Optimal geometric multigrid preconditioners for HDG-P0 schemes for the reaction-diffusion equation and the generalized Stokes equations. CoRR (2022)
Guosheng Fu
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. 92 (3) (2022)
Guosheng Fu, Wenzheng Kuang
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model. SIAM J. Numer. Anal. 60 (2) (2022)
Lihong Feng, Guosheng Fu, Zhu Wang
A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations. J. Sci. Comput. 89 (3) (2021)
Guosheng Fu, Yang Yang
A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media. CoRR (2021)
Guosheng Fu, Zhiliang Xu
High-order space-time finite element methods for the Poisson-Nernst-Planck equations: Positivity and unconditional energy stability. CoRR (2021)
Lihong Feng, Guosheng Fu, Zhu Wang
A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations. CoRR (2021)
Guosheng Fu, Wenzheng Kuang
Uniform block diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes problem and linear elasticity. CoRR (2021)
Guosheng Fu, Christoph Lehrenfeld, Alexander Linke, Timo Streckenbach
Locking-Free and Gradient-Robust ${\varvec{H}}({{\, \mathrm{{\text {div}}}\, }})$-Conforming HDG Methods for Linear Elasticity. J. Sci. Comput. 86 (3) (2021)
Guosheng Fu
Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for fluid-structure interaction. CoRR (2021)
Guosheng Fu
Uniform Auxiliary Space Preconditioning for HDG Methods for Elliptic Operators with a Parameter Dependent Low Order Term. SIAM J. Sci. Comput. 43 (6) (2021)
Guosheng Fu
A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow. CoRR (2020)
Guosheng Fu, Zhu Wang
POD-(H)DG Method for Incompressible Flow Simulations. J. Sci. Comput. 85 (2) (2020)
Guosheng Fu
Uniform auxiliary space preconditioning for HDG methods for elliptic operators with a parameter dependent low order term. CoRR (2020)
Guosheng Fu, Zhu Wang
POD-(H)DG Method for Incompressible Flow Simulations. CoRR (2020)
Guosheng Fu
A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow. J. Comput. Phys. 419 (2020)
Guosheng Fu, Wenzheng Kuang
A monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction model. CoRR (2020)
Guosheng Fu, Johnny Guzmán, Michael Neilan
Exact smooth piecewise polynomial sequences on Alfeld splits. Math. Comput. 89 (323) (2020)
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
Detection of peripherally inserted central catheter (PICC) in chest X-ray images: A multi-task deep learning model. Comput. Methods Programs Biomed. 197 (2020)
Guosheng Fu, Christoph Lehrenfeld, Alexander Linke, Timo Streckenbach
Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity. CoRR (2020)
Gang Chen, Guosheng Fu, John R. Singler, Yangwen Zhang
A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs. J. Sci. Comput. 81 (2) (2019)
Guosheng Fu, Chi-Wang Shu
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. J. Comput. Appl. Math. 349 (2019)
Guosheng Fu, Chi-Wang Shu
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. J. Comput. Phys. 394 (2019)
Guosheng Fu
Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces. CoRR (2019)
Guosheng Fu
An Explicit Divergence-Free DG Method for Incompressible Magnetohydrodynamics. J. Sci. Comput. 79 (3) (2019)
Mark Ainsworth, Guosheng Fu
Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation. J. Sci. Comput. 79 (1) (2019)
Guosheng Fu
A high-order HDG method for the Biot's consolidation model. Comput. Math. Appl. 77 (1) (2019)
Guosheng Fu, Christoph Lehrenfeld
A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow. J. Sci. Comput. 77 (3) (2018)
Bernardo Cockburn, Guosheng Fu, Weifeng Qiu
-Inequalities for Spaces Admitting M-Decompositions. SIAM J. Numer. Anal. 56 (6) (2018)
Mark Ainsworth, Guosheng Fu
Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations. J. Sci. Comput. 77 (1) (2018)
Bernardo Cockburn, Guosheng Fu, Francisco-Javier Sayas
Superconvergence by M-decompositions. Part I: General theory for HDG methods for diffusion. Math. Comput. 86 (306) (2017)
Guosheng Fu, Chi-Wang Shu
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. J. Comput. Phys. 347 (2017)
Bernardo Cockburn, Guosheng Fu
A Systematic Construction of Finite Element Commuting Exact Sequences. SIAM J. Numer. Anal. 55 (4) (2017)
Eric T. Chung, Bernardo Cockburn, Guosheng Fu
The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow. J. Sci. Comput. 66 (2) (2016)
Huangxin Chen, Guosheng Fu, Jingzhi Li, Weifeng Qiu
First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems. Comput. Math. Appl. 68 (12) (2014)
Eric T. Chung, Bernardo Cockburn, Guosheng Fu
The Staggered DG Method is the Limit of a Hybridizable DG Method. SIAM J. Numer. Anal. 52 (2) (2014)