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Guosheng Fu
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2020 – today
- 2024
- [j31]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: 112994 (2024) - [j30]Guosheng Fu, Wenzheng Kuang
hp-Multigrid Preconditioner for a Divergence-Conforming HDG Scheme for the Incompressible Flow Problems. J. Sci. Comput. 100(1): 16 (2024) - [j29]Arjun Vijaywargiya
Two Finite Element Approaches for the Porous Medium Equation That Are Positivity Preserving and Energy Stable. J. Sci. Comput. 100(3): 86 (2024) - [i21]Guosheng Fu, Hangjie Ji, Will Pazner, Wuchen Li:
Mean field control of droplet dynamics with high order finite element computations. CoRR abs/2402.05923 (2024) - 2023
- [j28]Martina Bukac, Guosheng Fu
Time-adaptive partitioned method for fluid-structure interaction problems with thick structures. J. Comput. Phys. 473: 111708 (2023) - [j27]Guosheng Fu
High order computation of optimal transport, mean field planning, and potential mean field games. J. Comput. Phys. 491: 112346 (2023) - [j26]Guosheng Fu
High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems. J. Comput. Phys. 491: 112375 (2023) - [j25]Guosheng Fu
High-order variational Lagrangian schemes for compressible fluids. J. Comput. Phys. 491: 112398 (2023) - [i20]Guosheng Fu, Siting Liu, Stanley J. Osher, Wuchen Li:
High order computation of optimal transport, mean field planning, and mean field games. CoRR abs/2302.02308 (2023) - [i19]Guosheng Fu, Chun Liu:
High-order variational Lagrangian schemes for compressible fluids. CoRR abs/2302.13977 (2023) - [i18]Guosheng Fu, Wenzheng Kuang:
hp-Multigrid preconditioner for a divergence-conforming HDG scheme for the incompressible flow problems. CoRR abs/2303.06762 (2023) - [i17]Guosheng Fu, Stanley J. Osher, Wuchen Li:
High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems. CoRR abs/2303.08950 (2023) - [i16]Arjun Vijaywargiya, Guosheng Fu:
Two Finite Element Approaches For The Porous Medium Equation That Are Positivity Preserving And Energy Stable. CoRR abs/2303.14216 (2023) - [i15]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 abs/2306.06287 (2023) - 2022
- [j24]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): 86 (2022) - [j23]Guosheng Fu
A Monolithic Divergence-Conforming HDG Scheme for a Linear Fluid-Structure Interaction Model. SIAM J. Numer. Anal. 60(2): 631-658 (2022) - [i14]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 abs/2201.13040 (2022) - [i13]Guosheng Fu, Wenzheng Kuang:
Optimal geometric multigrid preconditioners for HDG-P0 schemes for the reaction-diffusion equation and the generalized Stokes equations. CoRR abs/2208.14418 (2022) - [i12]Guosheng Fu, Yang Yang:
A hybridizable discontinuous Galerkin method on unfitted meshes for single-phase Darcy flow in fractured porous media. CoRR abs/2209.05445 (2022) - 2021
- [j22]Guosheng Fu
Locking-Free and Gradient-Robust ${\varvec{H}}({{\, \mathrm{{\text {div}}}\, }})$-Conforming HDG Methods for Linear Elasticity. J. Sci. Comput. 86(3): 39 (2021) - [j21]Lihong Feng, Guosheng Fu
A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations. J. Sci. Comput. 89(3): 61 (2021) - [j20]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): A3912-A3937 (2021) - [i11]Lihong Feng, Guosheng Fu, Zhu Wang:
A FOM/ROM Hybrid Approach for Accelerating Numerical Simulations. CoRR abs/2103.08642 (2021) - [i10]Guosheng Fu:
Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for fluid-structure interaction. CoRR abs/2103.15179 (2021) - [i9]Guosheng Fu, Wenzheng Kuang
Uniform block diagonal preconditioners for divergence-conforming HDG Methods for the generalized Stokes problem and linear elasticity. CoRR abs/2104.13886 (2021) - [i8]Guosheng Fu, Zhiliang Xu:
High-order space-time finite element methods for the Poisson-Nernst-Planck equations: Positivity and unconditional energy stability. CoRR abs/2105.01163 (2021) - [i7]Guosheng Fu, Yang Yang:
A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media. CoRR abs/2111.07003 (2021) - 2020
- [j19]Dingding Yu, Kaijie Zhang
Detection of peripherally inserted central catheter (PICC) in chest X-ray images: A multi-task deep learning model. Comput. Methods Programs Biomed. 197: 105674 (2020) - [j18]Guosheng Fu
A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow. J. Comput. Phys. 419: 109671 (2020) - [j17]Guosheng Fu
POD-(H)DG Method for Incompressible Flow Simulations. J. Sci. Comput. 85(2): 24 (2020) - [j16]Guosheng Fu
Exact smooth piecewise polynomial sequences on Alfeld splits. Math. Comput. 89(323): 1059-1091 (2020) - [i6]Guosheng Fu, Christoph Lehrenfeld, Alexander Linke, Timo Streckenbach:
Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity. CoRR abs/2001.08610 (2020) - [i5]Guosheng Fu:
A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow. CoRR abs/2002.09150 (2020) - [i4]Guosheng Fu, Zhu Wang:
POD-(H)DG Method for Incompressible Flow Simulations. CoRR abs/2004.08411 (2020) - [i3]Guosheng Fu:
Uniform auxiliary space preconditioning for HDG methods for elliptic operators with a parameter dependent low order term. CoRR abs/2011.11828 (2020) - [i2]Guosheng Fu, Wenzheng Kuang
A monolithic divergence-conforming HDG scheme for a linear fluid-structure interaction model. CoRR abs/2012.00128 (2020)
2010 – 2019
- 2019
- [j15]Guosheng Fu
A high-order HDG method for the Biot's consolidation model. Comput. Math. Appl. 77(1): 237-252 (2019) - [j14]Guosheng Fu
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. J. Comput. Appl. Math. 349: 41-51 (2019) - [j13]Guosheng Fu
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. J. Comput. Phys. 394: 329-363 (2019) - [j12]Mark Ainsworth, Guosheng Fu
Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation. J. Sci. Comput. 79(1): 209-226 (2019) - [j11]Guosheng Fu
An Explicit Divergence-Free DG Method for Incompressible Magnetohydrodynamics. J. Sci. Comput. 79(3): 1737-1752 (2019) - [j10]Gang Chen, Guosheng Fu
A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs. J. Sci. Comput. 81(2): 623-648 (2019) - [i1]Guosheng Fu:
Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces. CoRR abs/1912.07465 (2019) - 2018
- [j9]Mark Ainsworth, Guosheng Fu
Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations. J. Sci. Comput. 77(1): 443-466 (2018) - [j8]Guosheng Fu
A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow. J. Sci. Comput. 77(3): 1605-1620 (2018) - [j7]Bernardo Cockburn
Discrete H1-Inequalities for Spaces Admitting M-Decompositions. SIAM J. Numer. Anal. 56(6): 3407-3429 (2018) - 2017
- [j6]Guosheng Fu
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. J. Comput. Phys. 347: 305-327 (2017) - [j5]Bernardo Cockburn
Superconvergence by M-decompositions. Part I: General theory for HDG methods for diffusion. Math. Comput. 86(306): 1609-1641 (2017) - [j4]Bernardo Cockburn
A Systematic Construction of Finite Element Commuting Exact Sequences. SIAM J. Numer. Anal. 55(4): 1650-1688 (2017) - 2016
- [j3]Eric T. Chung, Bernardo Cockburn
The Staggered DG Method is the Limit of a Hybridizable DG Method. Part II: The Stokes Flow. J. Sci. Comput. 66(2): 870-887 (2016) - 2014
- [j2]Huangxin Chen, Guosheng Fu
First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems. Comput. Math. Appl. 68(12): 1635-1652 (2014) - [j1]Eric T. Chung, Bernardo Cockburn
The Staggered DG Method is the Limit of a Hybridizable DG Method. SIAM J. Numer. Anal. 52(2): 915-932 (2014)
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