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Author ID: fu.guosheng Recent zbMATH articles by "Fu, Guosheng"
Published as: Fu, Guosheng
Documents Indexed: 39 Publications since 2002
Co-Authors: 25 Co-Authors with 31 Joint Publications
1,022 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 274 times in 194 Documents Cited by Year
Superconvergence by \(M\)-decompositions. I: General theory for HDG methods for diffusion. Zbl 1361.65084
Cockburn, Bernardo; Fu, Guosheng; Sayas, Francisco Javier
27
2017
An analysis of HDG methods for convection-dominated diffusion problems. Zbl 1314.65142
Fu, Guosheng; Qiu, Weifeng; Zhang, Wujun
23
2015
The staggered DG method is the limit of a hybridizable DG method. Zbl 1298.65168
Chung, Eric; Cockburn, Bernardo; Fu, Guosheng
21
2014
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1380.65262
Fu, Guosheng; Shu, Chi-Wang
20
2017
Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by \(M\)-decompositions. Zbl 1477.65205
Cockburn, Bernardo; Fu, Guosheng
17
2018
Superconvergence by \(M\)-decompositions. III: Construction of three-dimensional finite elements. Zbl 1412.65137
Cockburn, Bernardo; Fu, Guosheng
17
2017
Analysis of an HDG method for linear elasticity. Zbl 1352.74037
Fu, Guosheng; Cockburn, B.; Stolarski, H.
16
2015
Superconvergence by \(M\)-decompositions. II: Construction of two-dimensional finite elements. Zbl 1412.65205
Cockburn, Bernardo; Fu, Guosheng
16
2017
A note on the devising of superconvergent HDG methods for Stokes flow by \(M\)-decompositions. Zbl 1433.76077
Cockburn, Bernardo; Fu, Guosheng; Qiu, Weifeng
13
2017
A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow. Zbl 1406.65112
Fu, Guosheng; Lehrenfeld, Christoph
12
2018
A high-order HDG method for the Biot’s consolidation model. Zbl 1442.65257
Fu, Guosheng
12
2019
Exact smooth piecewise polynomial sequences on Alfeld splits. Zbl 1434.65255
Fu, Guosheng; Guzmán, Johnny; Neilan, Michael
11
2020
A systematic construction of finite element commuting exact sequences. Zbl 1369.65145
Cockburn, Bernardo; Fu, Guosheng
9
2017
First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems. Zbl 1369.65144
Chen, Huangxin; Fu, Guosheng; Li, Jingzhi; Qiu, Weifeng
9
2014
The staggered DG method is the limit of a hybridizable DG method. II: The Stokes flow. Zbl 1457.65188
Chung, Eric; Cockburn, Bernardo; Fu, Guosheng
8
2016
An explicit divergence-free DG method for incompressible flow. Zbl 1440.76060
Fu, Guosheng
8
2019
Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations. Zbl 1407.65275
Ainsworth, Mark; Fu, Guosheng
7
2018
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. Zbl 1407.65187
Fu, Guosheng; Shu, Chi-Wang
6
2019
Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems. Zbl 1380.65261
Fu, Guosheng; Shu, Chi-Wang
5
2017
Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces. Zbl 1442.76066
Fu, Guosheng
3
2020
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. Zbl 1452.65230
Fu, Guosheng; Shu, Chi-Wang
3
2019
Parameter-free superconvergent \(H(\operatorname{div})\)-conforming HDG methods for the Brinkman equations. Zbl 1466.65187
Fu, Guosheng; Jin, Yanyi; Qiu, Weifeng
3
2019
A class of embedded DG methods for Dirichlet boundary control of convection diffusion PDEs. Zbl 1427.65353
Chen, Gang; Fu, Guosheng; Singler, John R.; Zhang, Yangwen
2
2019
Uniform auxiliary space preconditioning for HDG methods for elliptic operators with a parameter dependent low order term. Zbl 1478.65123
Fu, Guosheng
1
2021
Locking-free and gradient-robust \(H(\operatorname{div})\)-conforming HDG methods for linear elasticity. Zbl 1460.65146
Fu, Guosheng; Lehrenfeld, Christoph; Linke, Alexander; Streckenbach, Timo
1
2021
Discrete \(H^1\)-inequalities for spaces admitting M-decompositions. Zbl 1407.65285
Cockburn, Bernardo; Fu, Guosheng; Qiu, Weifeng
1
2018
An introduction to the theory of \(M\)-decompositions. Zbl 1416.65412
Cockburn, Bernardo; Fu, Guosheng; Shi, Ke
1
2018
Dispersive behavior of an energy-conserving discontinuous Galerkin method for the one-way wave equation. Zbl 1478.65078
Ainsworth, Mark; Fu, Guosheng
1
2019
An explicit divergence-free DG method for incompressible magnetohydrodynamics. Zbl 1422.65384
Fu, Guosheng
1
2019
Uniform auxiliary space preconditioning for HDG methods for elliptic operators with a parameter dependent low order term. Zbl 1478.65123
Fu, Guosheng
1
2021
Locking-free and gradient-robust \(H(\operatorname{div})\)-conforming HDG methods for linear elasticity. Zbl 1460.65146
Fu, Guosheng; Lehrenfeld, Christoph; Linke, Alexander; Streckenbach, Timo
1
2021
Exact smooth piecewise polynomial sequences on Alfeld splits. Zbl 1434.65255
Fu, Guosheng; Guzmán, Johnny; Neilan, Michael
11
2020
Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces. Zbl 1442.76066
Fu, Guosheng
3
2020
A high-order HDG method for the Biot’s consolidation model. Zbl 1442.65257
Fu, Guosheng
12
2019
An explicit divergence-free DG method for incompressible flow. Zbl 1440.76060
Fu, Guosheng
8
2019
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. Zbl 1407.65187
Fu, Guosheng; Shu, Chi-Wang
6
2019
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. Zbl 1452.65230
Fu, Guosheng; Shu, Chi-Wang
3
2019
Parameter-free superconvergent \(H(\operatorname{div})\)-conforming HDG methods for the Brinkman equations. Zbl 1466.65187
Fu, Guosheng; Jin, Yanyi; Qiu, Weifeng
3
2019
A class of embedded DG methods for Dirichlet boundary control of convection diffusion PDEs. Zbl 1427.65353
Chen, Gang; Fu, Guosheng; Singler, John R.; Zhang, Yangwen
2
2019
Dispersive behavior of an energy-conserving discontinuous Galerkin method for the one-way wave equation. Zbl 1478.65078
Ainsworth, Mark; Fu, Guosheng
1
2019
An explicit divergence-free DG method for incompressible magnetohydrodynamics. Zbl 1422.65384
Fu, Guosheng
1
2019
Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by \(M\)-decompositions. Zbl 1477.65205
Cockburn, Bernardo; Fu, Guosheng
17
2018
A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow. Zbl 1406.65112
Fu, Guosheng; Lehrenfeld, Christoph
12
2018
Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations. Zbl 1407.65275
Ainsworth, Mark; Fu, Guosheng
7
2018
Discrete \(H^1\)-inequalities for spaces admitting M-decompositions. Zbl 1407.65285
Cockburn, Bernardo; Fu, Guosheng; Qiu, Weifeng
1
2018
An introduction to the theory of \(M\)-decompositions. Zbl 1416.65412
Cockburn, Bernardo; Fu, Guosheng; Shi, Ke
1
2018
Superconvergence by \(M\)-decompositions. I: General theory for HDG methods for diffusion. Zbl 1361.65084
Cockburn, Bernardo; Fu, Guosheng; Sayas, Francisco Javier
27
2017
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1380.65262
Fu, Guosheng; Shu, Chi-Wang
20
2017
Superconvergence by \(M\)-decompositions. III: Construction of three-dimensional finite elements. Zbl 1412.65137
Cockburn, Bernardo; Fu, Guosheng
17
2017
Superconvergence by \(M\)-decompositions. II: Construction of two-dimensional finite elements. Zbl 1412.65205
Cockburn, Bernardo; Fu, Guosheng
16
2017
A note on the devising of superconvergent HDG methods for Stokes flow by \(M\)-decompositions. Zbl 1433.76077
Cockburn, Bernardo; Fu, Guosheng; Qiu, Weifeng
13
2017
A systematic construction of finite element commuting exact sequences. Zbl 1369.65145
Cockburn, Bernardo; Fu, Guosheng
9
2017
Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems. Zbl 1380.65261
Fu, Guosheng; Shu, Chi-Wang
5
2017
The staggered DG method is the limit of a hybridizable DG method. II: The Stokes flow. Zbl 1457.65188
Chung, Eric; Cockburn, Bernardo; Fu, Guosheng
8
2016
An analysis of HDG methods for convection-dominated diffusion problems. Zbl 1314.65142
Fu, Guosheng; Qiu, Weifeng; Zhang, Wujun
23
2015
Analysis of an HDG method for linear elasticity. Zbl 1352.74037
Fu, Guosheng; Cockburn, B.; Stolarski, H.
16
2015
The staggered DG method is the limit of a hybridizable DG method. Zbl 1298.65168
Chung, Eric; Cockburn, Bernardo; Fu, Guosheng
21
2014
First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems. Zbl 1369.65144
Chen, Huangxin; Fu, Guosheng; Li, Jingzhi; Qiu, Weifeng
9
2014
all top 5

Cited by 299 Authors

20 Chung, Tsz Shun Eric
17 Cockburn, Bernardo
11 Fu, Guosheng
9 Shu, Chi-Wang
9 Zhang, Yangwen
7 Chen, Gang
7 Kim, Hyea Hyun
7 Qiu, Jianxian
6 Du, Jie
5 Dassi, Franco
5 Leng, Haitao
5 Nguyen, Ngoc Cuong
5 Park, Eun-Jae
5 Qiu, Weifeng
5 Rhebergen, Sander
5 Sayas, Francisco-Javier
5 Singler, John R.
5 Zhu, Jun
4 Chen, Yanping
4 Di Pietro, Daniele Antonio
4 Du, Shukai
4 Sánchez, Manuel A.
4 Shi, Ke
4 Zhao, Lina
3 Burman, Erik
3 Fabien, Maurice S.
3 Feng, Minfu
3 Giacomini, Matteo
3 He, Yinnian
3 Hou, Yanren
3 Hu, Kaibo
3 Huerta, Antonio
3 Lederer, Philip Lukas
3 Monk, Peter B.
3 Neilan, Michael
3 Solano, Manuel E.
3 Sun, Zheng
3 Vacca, Giuseppe
3 Xing, Yulong
3 Xu, Jinchao
3 Zhu, Hongqiang
2 Ainsworth, Mark
2 Arbogast, Todd
2 Barrenechea, Gabriel R.
2 Beirão da Veiga, Lourenço
2 Çeşmelioğlu, Ayçıl
2 Chen, Huangxin
2 Cheng, Yingda
2 Cheung, Siu Wun
2 Christiansen, Snorre Harald
2 Fehn, Niklas
2 Guzmán, Johnny
2 Hesthaven, Jan S.
2 Hong, Qingguo
2 Hu, Weiwei
2 Hungria, Allan
2 Kashiwabara, Takahito
2 Kim, Dohyun
2 Knepley, Matthew G.
2 Kronbichler, Martin
2 Lam, Chi Yeung
2 Lehrenfeld, Christoph
2 Linke, Alexander
2 Liu, Jiangguo
2 Lovadina, Carlo
2 Ma, Limin
2 Oikawa, Issei
2 Peraire, Jaime
2 Prada, Daniele
2 Ray, Deep
2 Rivière, Beatrice M.
2 Schöberl, Joachim
2 Sevilla, Ruben
2 Shen, Jiguang
2 Shiue, Ming-Cheng
2 Tao, Zhen
2 Tavener, Simon J.
2 Terrana, Sébastien
2 Visinoni, Michele
2 Wall, Wolfgang A.
2 Wang, Haijin
2 Wang, Zhu
2 Wells, Garth N.
2 Weng, Zhifeng
2 Xia, Shiqiang
2 Xie, Xiaoping
2 Xue, Dandan
2 Zeng, Yuping
2 Zhang, Mengping
2 Zhou, Guanyu
1 Adler, James H.
1 Aghili, Joubine
1 Ahmed, Naveed
1 Altmann, Robert
1 Araya, Rodolfo A.
1 Arf, Jeremias
1 Atik, Youcef
1 Baccouch, Mahboub
1 Baier-Reinio, Aaron
1 Bertoluzza, Silvia
...and 199 more Authors
all top 5

Cited in 43 Serials

34 Journal of Scientific Computing
18 Computer Methods in Applied Mechanics and Engineering
15 Journal of Computational Physics
13 SIAM Journal on Numerical Analysis
12 Computers & Mathematics with Applications
10 Journal of Computational and Applied Mathematics
8 Applied Numerical Mathematics
7 Mathematics of Computation
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Communications in Computational Physics
5 Advances in Computational Mathematics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 SIAM Journal on Scientific Computing
3 Calcolo
3 Numerische Mathematik
3 Computational Geosciences
3 Communications on Applied Mathematics and Computation
2 International Journal for Numerical Methods in Engineering
2 Journal of Computational Mathematics
2 Computational Methods in Applied Mathematics
2 Journal of Numerical Mathematics
2 Multiscale Modeling & Simulation
2 Advances in Applied Mathematics and Mechanics
2 Results in Applied Mathematics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 BIT
1 Computational Mechanics
1 Applied Mathematics Letters
1 Japan Journal of Industrial and Applied Mathematics
1 Numerical Algorithms
1 ETNA. Electronic Transactions on Numerical Analysis
1 Vietnam Journal of Mathematics
1 Discrete Dynamics in Nature and Society
1 International Journal of Numerical Analysis and Modeling
1 Complex Variables and Elliptic Equations
1 Networks and Heterogeneous Media
1 Science China. Mathematics
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 SMAI Journal of Computational Mathematics

Citations by Year