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Guosheng Fu
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An analysis of HDG methods for convection-dominated diffusion problems
G Fu, W Qiu, W Zhang
ESAIM: Mathematical Modelling and Numerical Analysis 49 (1), 225-256, 2015
682015
Superconvergence by 𝑀-decompositions. Part I: General theory for HDG methods for diffusion
B Cockburn, G Fu, F Sayas
Mathematics of Computation 86 (306), 1609-1641, 2017
662017
Analysis of an HDG method for linear elasticity
G Fu, B Cockburn, H Stolarski
International Journal for Numerical Methods in Engineering 102 (3-4), 551-575, 2015
652015
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws
G Fu, CW Shu
Journal of Computational Physics 347, 305-327, 2017
582017
Mismatching integration-enabled strains and defects engineering in LDH microstructure for high-rate and long-life charge storage
W Guo, C Dun, C Yu, X Song, F Yang, W Kuang, Y Xie, S Li, Z Wang, J Yu, ...
Nature communications 13 (1), 1409, 2022
532022
Exact smooth piecewise polynomial sequences on Alfeld splits
G Fu, J Guzmán, M Neilan
Mathematics of Computation 89 (323), 1059-1091, 2020
522020
Superconvergence by -decompositions. Part II: Construction of two-dimensional finite elements
B Cockburn, G Fu
ESAIM: Mathematical Modelling and Numerical Analysis 51 (1), 165-186, 2017
452017
Superconvergence by M-decompositions. Part III: Construction of three-dimensional finite elements
B Cockburn, G Fu
ESAIM: Mathematical Modelling and Numerical Analysis 51 (1), 365-398, 2017
452017
The staggered DG method is the limit of a hybridizable DG method
E Chung, B Cockburn, G Fu
SIAM Journal on Numerical Analysis 52 (2), 915-932, 2014
442014
Parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations
G Fu, Y Jin, W Qiu
IMA Journal of Numerical Analysis 39 (2), 957-982, 2019
432019
A note on the devising of superconvergent HDG methods for Stokes flow by M-decompositions
B Cockburn, G Fu, W Qiu
IMA Journal of Numerical Analysis 37 (2), 730-749, 2017
402017
A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow
G Fu, C Lehrenfeld
Journal of Scientific Computing 77, 1605-1620, 2018
382018
Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by M-decompositions
B Cockburn, G Fu
IMA Journal of Numerical Analysis 38 (2), 566-604, 2018
372018
A high-order HDG method for the Biot’s consolidation model
G Fu
Computers & Mathematics with Applications 77 (1), 237-252, 2019
312019
A systematic construction of finite element commuting exact sequences
B Cockburn, G Fu
SIAM journal on numerical analysis 55 (4), 1650-1688, 2017
252017
The staggered DG method is the limit of a hybridizable DG method. Part II: the Stokes flow
E Chung, B Cockburn, G Fu
Journal of Scientific Computing 66 (2), 870-887, 2016
242016
An explicit divergence-free DG method for incompressible flow
G Fu
Computer Methods in Applied Mechanics and Engineering 345, 502-517, 2019
232019
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems
G Fu, CW Shu
Journal of Computational Physics 394, 329-363, 2019
212019
Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations
M Ainsworth, G Fu
Journal of Scientific Computing 77, 443-466, 2018
212018
First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems
H Chen, G Fu, J Li, W Qiu
Computers & Mathematics with Applications 68 (12), 1635-1652, 2014
212014
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