## Fu, Guosheng

Compute Distance To:
 Author ID: 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
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### Co-Authors

 8 single-authored 11 Cockburn, Bernardo 5 Qiu, Weifeng 4 Ainsworth, Mark 4 Shu, Chi-Wang 2 Chung, Tsz Shun Eric 2 Lehrenfeld, Christoph 2 Wang, Zhu 1 Chen, Gang 1 Chen, Huangxin 1 Feng, Lihong 1 Guzmán, Johnny 1 Han, Daozhi 1 Jin, Yanyi 1 Kuang, Wenzheng 1 Li, Jingzhi 1 Linke, Alexander 1 Neilan, Michael 1 Sayas, Francisco-Javier 1 Shi, Ke 1 Singler, John R. 1 Stolarski, Henryk K. 1 Streckenbach, Timo 1 Xu, Zhiliang 1 Zhang, Wujun 1 Zhang, Yangwen
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### Serials

 10 Journal of Scientific Computing 6 Computer Methods in Applied Mechanics and Engineering 4 SIAM Journal on Numerical Analysis 3 IMA Journal of Numerical Analysis 3 Journal of Computational Physics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computers & Mathematics with Applications 2 Mathematics of Computation 1 Journal of Applied Mechanics 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Scientific Computing 1 International Journal of Numerical Analysis and Modeling
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### Fields

 36 Numerical analysis (65-XX) 19 Fluid mechanics (76-XX) 16 Partial differential equations (35-XX) 6 Mechanics of deformable solids (74-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 Potential theory (31-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

### 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
2017
An analysis of HDG methods for convection-dominated diffusion problems. Zbl 1314.65142
Fu, Guosheng; Qiu, Weifeng; Zhang, Wujun
2015
The staggered DG method is the limit of a hybridizable DG method. Zbl 1298.65168
Chung, Eric; Cockburn, Bernardo; Fu, Guosheng
2014
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1380.65262
Fu, Guosheng; Shu, Chi-Wang
2017
Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by $$M$$-decompositions. Zbl 1477.65205
Cockburn, Bernardo; Fu, Guosheng
2018
Superconvergence by $$M$$-decompositions. III: Construction of three-dimensional finite elements. Zbl 1412.65137
Cockburn, Bernardo; Fu, Guosheng
2017
Analysis of an HDG method for linear elasticity. Zbl 1352.74037
Fu, Guosheng; Cockburn, B.; Stolarski, H.
2015
Superconvergence by $$M$$-decompositions. II: Construction of two-dimensional finite elements. Zbl 1412.65205
Cockburn, Bernardo; Fu, Guosheng
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
2017
A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow. Zbl 1406.65112
Fu, Guosheng; Lehrenfeld, Christoph
2018
A high-order HDG method for the Biot’s consolidation model. Zbl 1442.65257
Fu, Guosheng
2019
Exact smooth piecewise polynomial sequences on Alfeld splits. Zbl 1434.65255
Fu, Guosheng; Guzmán, Johnny; Neilan, Michael
2020
A systematic construction of finite element commuting exact sequences. Zbl 1369.65145
Cockburn, Bernardo; Fu, Guosheng
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
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
2016
An explicit divergence-free DG method for incompressible flow. Zbl 1440.76060
Fu, Guosheng
2019
Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations. Zbl 1407.65275
Ainsworth, Mark; Fu, Guosheng
2018
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. Zbl 1407.65187
Fu, Guosheng; Shu, Chi-Wang
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
2017
Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces. Zbl 1442.76066
Fu, Guosheng
2020
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. Zbl 1452.65230
Fu, Guosheng; Shu, Chi-Wang
2019
Parameter-free superconvergent $$H(\operatorname{div})$$-conforming HDG methods for the Brinkman equations. Zbl 1466.65187
Fu, Guosheng; Jin, Yanyi; Qiu, Weifeng
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
2019
Uniform auxiliary space preconditioning for HDG methods for elliptic operators with a parameter dependent low order term. Zbl 1478.65123
Fu, Guosheng
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
2021
Discrete $$H^1$$-inequalities for spaces admitting M-decompositions. Zbl 1407.65285
Cockburn, Bernardo; Fu, Guosheng; Qiu, Weifeng
2018
An introduction to the theory of $$M$$-decompositions. Zbl 1416.65412
Cockburn, Bernardo; Fu, Guosheng; Shi, Ke
2018
Dispersive behavior of an energy-conserving discontinuous Galerkin method for the one-way wave equation. Zbl 1478.65078
Ainsworth, Mark; Fu, Guosheng
2019
An explicit divergence-free DG method for incompressible magnetohydrodynamics. Zbl 1422.65384
Fu, Guosheng
2019
Uniform auxiliary space preconditioning for HDG methods for elliptic operators with a parameter dependent low order term. Zbl 1478.65123
Fu, Guosheng
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
2021
Exact smooth piecewise polynomial sequences on Alfeld splits. Zbl 1434.65255
Fu, Guosheng; Guzmán, Johnny; Neilan, Michael
2020
Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces. Zbl 1442.76066
Fu, Guosheng
2020
A high-order HDG method for the Biot’s consolidation model. Zbl 1442.65257
Fu, Guosheng
2019
An explicit divergence-free DG method for incompressible flow. Zbl 1440.76060
Fu, Guosheng
2019
An energy-conserving ultra-weak discontinuous Galerkin method for the generalized Korteweg-de Vries equation. Zbl 1407.65187
Fu, Guosheng; Shu, Chi-Wang
2019
Optimal energy-conserving discontinuous Galerkin methods for linear symmetric hyperbolic systems. Zbl 1452.65230
Fu, Guosheng; Shu, Chi-Wang
2019
Parameter-free superconvergent $$H(\operatorname{div})$$-conforming HDG methods for the Brinkman equations. Zbl 1466.65187
Fu, Guosheng; Jin, Yanyi; Qiu, Weifeng
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
2019
Dispersive behavior of an energy-conserving discontinuous Galerkin method for the one-way wave equation. Zbl 1478.65078
Ainsworth, Mark; Fu, Guosheng
2019
An explicit divergence-free DG method for incompressible magnetohydrodynamics. Zbl 1422.65384
Fu, Guosheng
2019
Devising superconvergent HDG methods with symmetric approximate stresses for linear elasticity by $$M$$-decompositions. Zbl 1477.65205
Cockburn, Bernardo; Fu, Guosheng
2018
A strongly conservative hybrid DG/mixed FEM for the coupling of Stokes and Darcy flow. Zbl 1406.65112
Fu, Guosheng; Lehrenfeld, Christoph
2018
Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations. Zbl 1407.65275
Ainsworth, Mark; Fu, Guosheng
2018
Discrete $$H^1$$-inequalities for spaces admitting M-decompositions. Zbl 1407.65285
Cockburn, Bernardo; Fu, Guosheng; Qiu, Weifeng
2018
An introduction to the theory of $$M$$-decompositions. Zbl 1416.65412
Cockburn, Bernardo; Fu, Guosheng; Shi, Ke
2018
Superconvergence by $$M$$-decompositions. I: General theory for HDG methods for diffusion. Zbl 1361.65084
Cockburn, Bernardo; Fu, Guosheng; Sayas, Francisco Javier
2017
A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1380.65262
Fu, Guosheng; Shu, Chi-Wang
2017
Superconvergence by $$M$$-decompositions. III: Construction of three-dimensional finite elements. Zbl 1412.65137
Cockburn, Bernardo; Fu, Guosheng
2017
Superconvergence by $$M$$-decompositions. II: Construction of two-dimensional finite elements. Zbl 1412.65205
Cockburn, Bernardo; Fu, Guosheng
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
2017
A systematic construction of finite element commuting exact sequences. Zbl 1369.65145
Cockburn, Bernardo; Fu, Guosheng
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
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
2016
An analysis of HDG methods for convection-dominated diffusion problems. Zbl 1314.65142
Fu, Guosheng; Qiu, Weifeng; Zhang, Wujun
2015
Analysis of an HDG method for linear elasticity. Zbl 1352.74037
Fu, Guosheng; Cockburn, B.; Stolarski, H.
2015
The staggered DG method is the limit of a hybridizable DG method. Zbl 1298.65168
Chung, Eric; Cockburn, Bernardo; Fu, Guosheng
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
2014
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### 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
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### 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
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### Cited in 21 Fields

 182 Numerical analysis (65-XX) 80 Fluid mechanics (76-XX) 76 Partial differential equations (35-XX) 35 Mechanics of deformable solids (74-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)