Publications

2026

1. arXiv

   Analytical properties of polygonal Stokes and BGG Hessian complexes with application to Kirchhoff–Love plates

   Daniele A. Di Pietro, Jérôme Droniou, Kaibo Hu, and 1 more author

   arXiv preprint arXiv:2609.10150, 2026

   Bib HTML

   @article{di2026analytical,
     title = {Analytical properties of polygonal Stokes and BGG Hessian complexes with application to Kirchhoff--Love plates},
     author = {Di Pietro, Daniele A. and Droniou, J{\'e}r{\^o}me and Hu, Kaibo and Leroy, Arax},
     journal = {arXiv preprint arXiv:2609.10150},
     year = {2026}
   }

2. arXiv

   Finite element exterior calculus for spectra and pseudospectra of advection-diffusion of differential forms

   Daniele Boffi, Kaibo Hu, Yizhou Liang, and 1 more author

   arXiv preprint arXiv:2610.01501, 2026

   Bib HTML

   @article{boffi2026spectra,
     title = {Finite element exterior calculus for spectra and pseudospectra of advection-diffusion of differential forms},
     author = {Boffi, Daniele and Hu, Kaibo and Liang, Yizhou and Zerbinati, Umberto},
     journal = {arXiv preprint arXiv:2610.01501},
     year = {2026}
   }

3. FoCM

   Extended Regge complex for linearized Riemann-Cartan geometry and cohomology

   Snorre H. Christiansen, Kaibo Hu, and Ting Lin

   Foundations of Computational Mathematics, 2026

   arXiv Bib HTML

   @article{christiansen2023regge,
     title = {Extended Regge complex for linearized Riemann-Cartan geometry and cohomology},
     author = {Christiansen, Snorre H. and Hu, Kaibo and Lin, Ting},
     journal = {Foundations of Computational Mathematics},
     doi = {10.1007/s10208-026-09746-w},
     url = {https://doi.org/10.1007/s10208-026-09746-w},
     year = {2026}
   }

4. arXiv

   Optimal block preconditioners for a mass-conserving mixed stress formulation of Stokes flow

   Kaibo Hu, Jongho Park, and Jindong Wang

   arXiv preprint arXiv:2607.22932, 2026

   Bib HTML

   @article{hu2026optimal,
     title = {Optimal block preconditioners for a mass-conserving mixed stress formulation of Stokes flow},
     author = {Hu, Kaibo and Park, Jongho and Wang, Jindong},
     journal = {arXiv preprint arXiv:2607.22932},
     year = {2026}
   }

5. arXiv

   ReLU^k neural de Rham complexes

   Kaibo Hu, Jindong Wang, and Jinchao Xu

   arXiv preprint arXiv:2607.22478, 2026

   Bib HTML

   @article{hu2026relu,
     title = {{ReLU$^k$ neural de Rham complexes}},
     author = {Hu, Kaibo and Wang, Jindong and Xu, Jinchao},
     journal = {arXiv preprint arXiv:2607.22478},
     year = {2026}
   }

6. SISC

   Global and local helicity-preservation in the finite element discretization of magnetic relaxation

   Patrick E. Farrell, Mingdong He, Kaibo Hu, and 1 more author

   SIAM Journal on Scientific Computing (accepted), 2026

   Bib HTML

   @article{farrell2025global,
     title = {Global and local helicity-preservation in the finite element discretization of magnetic relaxation},
     author = {Farrell, Patrick E. and He, Mingdong and Hu, Kaibo and Zhang, Ganghui},
     journal = {SIAM Journal on Scientific Computing (accepted)},
     year = {2026}
   }

7. arXiv

   Finite element methods for isometric embedding of Riemannian manifolds

   Guangwei Gao, Kaibo Hu, Buyang Li, and 1 more author

   arXiv preprint arXiv:2602.18722, 2026

   Bib HTML

   @article{gao2025finite,
     title = {Finite element methods for isometric embedding of Riemannian manifolds},
     author = {Gao, Guangwei and Hu, Kaibo and Li, Buyang and Zhang, Ganghui},
     journal = {arXiv preprint arXiv:2602.18722},
     year = {2026}
   }

8. FoCM

   A 2-complex containing Sobolev spaces of matrix fields

   Jay Gopalakrishnan, Kaibo Hu, and Joachim Schöberl

   Foundations of Computational Mathematics (accepted), 2026

   Bib HTML

   @article{gopalakrishnan20252,
     title = {{A 2-complex containing Sobolev spaces of matrix fields}},
     author = {Gopalakrishnan, Jay and Hu, Kaibo and Sch{\"o}berl, Joachim},
     journal = {Foundations of Computational Mathematics (accepted)},
     year = {2026}
   }

9. IMA

   Convergence and Stability of Discrete Exterior Calculus for the Hodge Laplace Problem in Two Dimensions

   Chengbin Zhu, Snorre H. Christiansen, Kaibo Hu, and 1 more author

   IMA Journal of Numerical Analysis (accepted), 2026

   Bib HTML

   @article{DEC2025,
     title = {Convergence and Stability of Discrete Exterior Calculus for the Hodge Laplace Problem in Two Dimensions},
     author = {Zhu, Chengbin and Christiansen, Snorre H. and Hu, Kaibo and Hirani, Anil N.},
     journal = {IMA Journal of Numerical Analysis (accepted)},
     year = {2026}
   }

10. RSOS

    Many facets of cohomology: differential complexes and structure-aware formulation

    Kaibo Hu

    Royal Society Open Science, 2026

    arXiv Bib HTML

    @article{rssurvey2025,
      title = {Many facets of cohomology: differential complexes and structure-aware formulation},
      author = {Hu, Kaibo},
      journal = {Royal Society Open Science},
      volume = {13},
      number = {3},
      pages = {250728},
      doi = {10.1098/rsos.250728},
      url = {https://doi.org/10.1098/rsos.250728},
      year = {2026}
    }

11. SISC

    Helicity-preserving finite element discretization for magnetic relaxation

    Mingdong He, Patrick E Farrell, Kaibo Hu, and 1 more author

    SIAM Journal on Scientific Computing, 2026

    arXiv Bib HTML

    @article{he2025topology,
      title = {Helicity-preserving finite element discretization for magnetic relaxation},
      author = {He, Mingdong and Farrell, Patrick E and Hu, Kaibo and Andrews, Boris D},
      journal = {SIAM Journal on Scientific Computing},
      volume = {48},
      number = {2},
      pages = {B165--B183},
      doi = {10.1137/25M1727540},
      url = {https://doi.org/10.1137/25M1727540},
      year = {2026}
    }

12. SINUM

    Uniformly hp-stable elements for the elasticity complex

    Francis RA Aznaran, Kaibo Hu, and Charles Parker

    SIAM Journal on Numerical Analysis, 2026

    arXiv Bib HTML

    @article{aznaran2024uniformly,
      title = {Uniformly $hp$-stable elements for the elasticity complex},
      author = {Aznaran, Francis RA and Hu, Kaibo and Parker, Charles},
      journal = {SIAM Journal on Numerical Analysis},
      volume = {64},
      number = {3},
      pages = {708--736},
      doi = {10.1137/24M1701605},
      url = {https://doi.org/10.1137/24M1701605},
      year = {2026}
    }

13. Math.Comp.

    Finite elements for symmetric and traceless tensors in three dimensions

    Kaibo Hu, Ting Lin, and Bowen Shi

    accepted, Mathematics of Computation (arXiv:2311.16077), 2026

    Bib HTML

    @article{hu2023finite,
      title = {Finite elements for symmetric and traceless tensors in three dimensions},
      author = {Hu, Kaibo and Lin, Ting and Shi, Bowen},
      journal = {accepted, Mathematics of Computation (arXiv:2311.16077)},
      year = {2026}
    }

2025

1. arXiv

   Hodge-Dirac wave systems and structure-preserving discretizations of the linearized Einstein equations

   Marien-Lorenzo Hanot, and Kaibo Hu

   arXiv preprint arXiv:2511.19441, 2025

   Bib HTML

   @article{hanot2025hodge,
     title = {Hodge-Dirac wave systems and structure-preserving discretizations of the linearized Einstein equations},
     author = {Hanot, Marien-Lorenzo and Hu, Kaibo},
     journal = {arXiv preprint arXiv:2511.19441},
     year = {2025}
   }

2. arXiv

   Design and homological analysis of twisted and BGG Stokes-de Rham complexes on polygonal meshes

   Daniele A Di Pietro, Jérôme Droniou, Kaibo Hu, and 1 more author

   arXiv preprint arXiv:2507.17333, 2025

   Bib HTML

   @article{di2025design,
     title = {Design and homological analysis of twisted and BGG Stokes-de Rham complexes on polygonal meshes},
     author = {Di Pietro, Daniele A and Droniou, J{\'e}r{\^o}me and Hu, Kaibo and Leroy, Arax},
     journal = {arXiv preprint arXiv:2507.17333},
     year = {2025}
   }

3. arXiv

   Finite element form-valued forms: Construction

   Kaibo Hu, and Ting Lin

   arXiv preprint arXiv:2503.03243, 2025

   Bib HTML

   @article{hu2024intrinsic,
     title = {Finite element form-valued forms: Construction},
     author = {Hu, Kaibo and Lin, Ting},
     journal = {arXiv preprint arXiv:2503.03243},
     year = {2025}
   }

4. SINUM

   Intrinsic Mixed Finite Element Methods for Linear Cosserat Elasticity

   Andrea Dziubek, Kaibo Hu, Michael Karow, and 1 more author

   SIAM Journal on Numerical Analysis, 2025

   Bib HTML

   @article{dziubek2025intrinsic,
     title = {Intrinsic Mixed Finite Element Methods for Linear Cosserat Elasticity},
     author = {Dziubek, Andrea and Hu, Kaibo and Karow, Michael and Neunteufel, Michael},
     journal = {SIAM Journal on Numerical Analysis},
     volume = {63},
     number = {4},
     pages = {1833--1860},
     doi = {10.1137/24M1706578},
     url = {https://doi.org/10.1137/24M1706578},
     year = {2025},
     publisher = {SIAM}
   }

5. ESAIM

   Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system

   Lourenço Veiga, Kaibo Hu, and Lorenzo Mascotto

   ESAIM: Mathematical Modelling and Numerical Analysis, 2025

   Bib HTML

   @article{da2025error,
     title = {Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system},
     author = {Beir{\~a}o da Veiga, Louren{\c{c}}o and Hu, Kaibo and Mascotto, Lorenzo},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
     volume = {59},
     number = {2},
     pages = {1075--1094},
     year = {2025},
     publisher = {EDP Sciences}
   }

6. MNS

   Intrinsic finite elements: currents, discrete geometry and periodic table (in Chinese)

   Kaibo Hu

   Mathematica Numerica Sinica (Young Researcher Review), 2025

   Bib HTML

   @article{chinese-survey,
     title = {Intrinsic finite elements: currents,  discrete geometry and periodic table (in Chinese)},
     author = {Hu, Kaibo},
     journal = {Mathematica Numerica Sinica (Young Researcher Review)},
     volume = {47},
     number = {3},
     pages = {385-417},
     url = {https://computmath.cjoe.ac.cn/jssx/CN/10.12286/jssx.j2025-1308},
     year = {2025}
   }

7. SIAGA

   Distributional Hessian and divdiv complexes on triangulation and cohomology

   Kaibo Hu, Ting Lin, and Qian Zhang

   SIAM Journal on Applied Algebra and Geometry, 2025

   arXiv Bib HTML

   @article{hu2023distributional,
     title = {Distributional Hessian and divdiv complexes on triangulation and cohomology},
     author = {Hu, Kaibo and Lin, Ting and Zhang, Qian},
     journal = {SIAM Journal on Applied Algebra and Geometry},
     volume = {9},
     number = {1},
     pages = {108--153},
     doi = {10.1137/23M1623860},
     url = {https://doi.org/10.1137/23M1623860},
     year = {2025}
   }

8. JEMS

   An exterior calculus framework for polytopal methods

   Francesco Bonaldi, Daniele A Di Pietro, Jérôme Droniou, and 1 more author

   Journal of the European Mathematical Society, 2025

   Published online

   arXiv Bib HTML

   @article{bonaldi2023exterior,
     title = {An exterior calculus framework for polytopal methods},
     author = {Bonaldi, Francesco and Di Pietro, Daniele A and Droniou, J{\'e}r{\^o}me and Hu, Kaibo},
     journal = {Journal of the European Mathematical Society},
     doi = {10.4171/JEMS/1602},
     note = {Published online},
     year = {2025},
     url = {https://doi.org/10.4171/JEMS/1602},
   }

2024

1. RINAM

   Quadratic and cubic Lagrange finite elements for mixed Laplace eigenvalue problems on criss-cross meshes

   Kaibo Hu, Jiguang Sun, and Qian Zhang

   Results in Applied Mathematics, 2024

   Bib HTML

   @article{hu2024quadratic,
     title = {Quadratic and cubic Lagrange finite elements for mixed Laplace eigenvalue problems on criss-cross meshes},
     author = {Hu, Kaibo and Sun, Jiguang and Zhang, Qian},
     journal = {Results in Applied Mathematics},
     volume = {23},
     pages = {100480},
     url = {https://www.sciencedirect.com/science/article/pii/S2590037424000505},
     year = {2024},
     publisher = {Elsevier}
   }

2. FoCM

   BGG sequences with weak regularity and applications

   Andreas Čap, and Kaibo Hu

   Foundations of Computational Mathematics, 2024

   Bib HTML

   @article{vcap2023bgg,
     title = {BGG sequences with weak regularity and applications},
     author = {{\v{C}}ap, Andreas and Hu, Kaibo},
     journal = {Foundations of Computational Mathematics},
     volume = {24},
     pages = {1145--1184},
     year = {2024},
     publisher = {Springer},
     url = {https://link.springer.com/article/10.1007/s10208-023-09608-9},
   }

3. Num.Math.

   A discrete elasticity complex on three-dimensional Alfeld splits

   Snorre H Christiansen, Jay Gopalakrishnan, Johnny Guzmán, and 1 more author

   Numerische Mathematik, 2024

   arXiv Bib HTML

   @article{christiansen2020discrete,
     title = {A discrete elasticity complex on three-dimensional Alfeld splits},
     author = {Christiansen, Snorre H and Gopalakrishnan, Jay and Guzm{\'a}n, Johnny and Hu, Kaibo},
     journal = {Numerische Mathematik},
     volume = {156},
     pages = {159--204},
     doi = {10.1007/s00211-023-01381-9},
     year = {2024},
     url = {https://doi.org/10.1007/s00211-023-01381-9},
   }

4. Math.Comp.

   Discrete tensor product BGG sequences: splines and finite elements

   Francesca Bonizzoni, Kaibo Hu, Guido Kanschat, and 1 more author

   Mathematics of Computation, 2024

   arXiv Bib HTML

   @article{bonizzoni2023discrete,
     title = {Discrete tensor product BGG sequences: splines and finite elements},
     author = {Bonizzoni, Francesca and Hu, Kaibo and Kanschat, Guido and Sap, Duygu},
     journal = {Mathematics of Computation},
     doi = {10.1090/mcom/3969},
     year = {2024},
     url = {https://doi.org/10.1090/mcom/3969},
   }

5. INdAM

   Nonlinear elasticity complex and a finite element diagram chase

   Kaibo Hu

   In Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology, 2024

   arXiv Bib HTML

   @incollection{hu2023nonlinear,
     title = {Nonlinear elasticity complex and a finite element diagram chase},
     author = {Hu, Kaibo},
     booktitle = {Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology},
     editor = {Lanini, Martina and Manni, Carla and Schenck, Henry},
     series = {Springer INdAM Series},
     volume = {60},
     pages = {231--252},
     publisher = {Springer},
     doi = {10.1007/978-981-97-6508-9_11},
     year = {2024},
     url = {https://doi.org/10.1007/978-981-97-6508-9_11},
   }

6. INdAM

   Supersmoothness of the Alfeld split

   Michael S. Floater, and Kaibo Hu

   In Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology, 2024

   Bib HTML

   @incollection{cortona-supersmoothness,
     title = {Supersmoothness of the Alfeld split},
     author = {Floater, Michael S. and Hu, Kaibo},
     booktitle = {Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology},
     editor = {Lanini, Martina and Manni, Carla and Schenck, Henry},
     series = {Springer INdAM Series},
     volume = {60},
     pages = {173--180},
     publisher = {Springer},
     doi = {10.1007/978-981-97-6508-9_8},
     url = {https://doi.org/10.1007/978-981-97-6508-9_8},
     year = {2024},
   }

2023

1. FoCM

   Finite element systems for vector bundles: elasticity and curvature

   Snorre H Christiansen, and Kaibo Hu

   Foundations of Computational Mathematics, 2023

   Bib HTML

   @article{christiansen2023finite,
     title = {Finite element systems for vector bundles: elasticity and curvature},
     author = {Christiansen, Snorre H and Hu, Kaibo},
     journal = {Foundations of Computational Mathematics},
     volume = {23},
     number = {2},
     pages = {545--596},
     year = {2023},
     publisher = {Springer},
     url = {https://link.springer.com/article/10.1007/s10208-022-09555-x},
   }

2. JCP

   Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations

   Fabian Laakmann, Kaibo Hu, and Patrick E Farrell

   Journal of Computational Physics, 2023

   Bib HTML

   @article{laakmann2023structure,
     title = {Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations},
     author = {Laakmann, Fabian and Hu, Kaibo and Farrell, Patrick E},
     journal = {Journal of Computational Physics},
     pages = {112410},
     year = {2023},
     publisher = {Elsevier},
     url = {https://www.sciencedirect.com/science/article/abs/pii/S0021999123005053},
   }

3. IMA

   Spurious solutions for high-order curl problems

   Kaibo Hu, Qian Zhang, Jiayu Han, and 2 more authors

   IMA Journal of Numerical Analysis, 2023

   Bib HTML

   @article{hu2023spurious,
     title = {Spurious solutions for high-order curl problems},
     author = {Hu, Kaibo and Zhang, Qian and Han, Jiayu and Wang, Lixiu and Zhang, Zhimin},
     journal = {IMA Journal of Numerical Analysis},
     volume = {43},
     number = {3},
     pages = {1422--1449},
     year = {2023},
     publisher = {Oxford University Press},
   }

4. JMPA

   Bounded Poincaré operators for twisted and BGG complexes

   Andreas Čap, and Kaibo Hu

   Journal de Mathématiques Pures et Appliquées, 2023

   arXiv Bib HTML

   @article{vcap2023bounded,
     title = {Bounded Poincar\'e operators for twisted and BGG complexes},
     author = {{\v{C}}ap, Andreas and Hu, Kaibo},
     journal = {Journal de Math{\'e}matiques Pures et Appliqu{\'e}es},
     year = {2023},
     doi = {10.1016/j.matpur.2023.09.008},
     url = {https://doi.org/10.1016/j.matpur.2023.09.008},
   }

2022

1. SINUM

   A family of finite element Stokes complexes in three dimensions

   Kaibo Hu, Qian Zhang, and Zhimin Zhang

   SIAM Journal on Numerical Analysis, 2022

   Bib HTML

   @article{hu2022family,
     title = {A family of finite element Stokes complexes in three dimensions},
     author = {Hu, Kaibo and Zhang, Qian and Zhang, Zhimin},
     journal = {SIAM Journal on Numerical Analysis},
     volume = {60},
     number = {1},
     pages = {222--243},
     year = {2022},
     publisher = {SIAM},
     url = {https://epubs.siam.org/doi/abs/10.1137/20M1358700},
   }

2. arXiv

   Oberwolfach report: Discretization of Hilbert complexes

   Kaibo Hu

   arXiv preprint arXiv:2208.03420, 2022

   Bib HTML

   @article{hu2022oberwolfach,
     title = {Oberwolfach report: Discretization of Hilbert complexes},
     author = {Hu, Kaibo},
     journal = {arXiv preprint arXiv:2208.03420},
     year = {2022},
   }

3. CMAM

   Partially Discontinuous Nodal Finite Elements for 𝐻(curl) and 𝐻(div)

   Jun Hu, Kaibo Hu, and Qian Zhang

   Computational Methods in Applied Mathematics, 2022

   Bib HTML

   @article{hu2022partially,
     title = {Partially Discontinuous Nodal Finite Elements for 𝐻(curl) and 𝐻(div)},
     author = {Hu, Jun and Hu, Kaibo and Zhang, Qian},
     journal = {Computational Methods in Applied Mathematics},
     volume = {22},
     number = {3},
     pages = {613--629},
     year = {2022},
     publisher = {De Gruyter},
   }

2021

1. FoCM

   Complexes from complexes

   Douglas N Arnold, and Kaibo Hu

   Foundations of Computational Mathematics, 2021

   Bib HTML

   @article{arnold2021complexes,
     title = {Complexes from complexes},
     author = {Arnold, Douglas N and Hu, Kaibo},
     journal = {Foundations of Computational Mathematics},
     volume = {21},
     number = {6},
     pages = {1739--1774},
     year = {2021},
     publisher = {Springer},
     url = {https://link.springer.com/article/10.1007/s10208-021-09498-9},
   }

2. JCP

   Helicity-conservative finite element discretization for incompressible MHD systems

   Kaibo Hu, Young-Ju Lee, and Jinchao Xu

   Journal of Computational Physics, 2021

   Bib HTML

   @article{hu2021helicity,
     title = {Helicity-conservative finite element discretization for incompressible MHD systems},
     author = {Hu, Kaibo and Lee, Young-Ju and Xu, Jinchao},
     journal = {Journal of Computational Physics},
     volume = {436},
     pages = {110284},
     year = {2021},
     publisher = {Elsevier},
     url = {https://www.sciencedirect.com/science/article/abs/pii/S0021999121001790},
   }

3. JCM

   Well-conditioned frames for finite element methods

   Kaibo Hu, and Ragnar Winther

   Journal of Computational Mathematics, 2021

   Bib HTML

   @article{hu2017well,
     title = {Well-conditioned frames for finite element methods},
     author = {Hu, Kaibo and Winther, Ragnar},
     journal = {Journal of Computational Mathematics},
     year = {2021},
     volume = {39},
     number = {3},
     pages = {333--357},
     doi = {10.4208/jcm.2001-m2018-0078},
     url = {https://doi.org/10.4208/jcm.2001-m2018-0078},
   }

2020

1. SISC

   Simple curl-curl-conforming finite elements in two dimensions

   Kaibo Hu, Qian Zhang, and Zhimin Zhang

   SIAM Journal on Scientific Computing, 2020

   Bib HTML

   @article{hu2020simple,
     title = {Simple curl-curl-conforming finite elements in two dimensions},
     author = {Hu, Kaibo and Zhang, Qian and Zhang, Zhimin},
     journal = {SIAM Journal on Scientific Computing},
     volume = {42},
     number = {6},
     pages = {A3859--A3877},
     year = {2020},
     publisher = {SIAM},
     url = {https://epubs.siam.org/doi/abs/10.1137/20M1333390},
   }

2. ACM

   A characterization of supersmoothness of multivariate splines

   Michael S Floater, and Kaibo Hu

   Advances in Computational Mathematics, 2020

   Bib HTML

   @article{floater2020characterization,
     title = {A characterization of supersmoothness of multivariate splines},
     author = {Floater, Michael S and Hu, Kaibo},
     journal = {Advances in Computational Mathematics},
     volume = {46},
     number = {5},
     pages = {70},
     year = {2020},
     publisher = {Springer},
     url = {https://link.springer.com/article/10.1007/s10444-020-09813-y},
   }

3. JCAM

   Convergence of a BE based finite element method for MHD models on Lipschitz domains

   Kaibo Hu, Weifeng Qiu, and Ke Shi

   Journal of Computational and Applied Mathematics, 2020

   Bib HTML

   @article{hu2020convergence,
     title = {Convergence of a BE based finite element method for MHD models on Lipschitz domains},
     author = {Hu, Kaibo and Qiu, Weifeng and Shi, Ke},
     journal = {Journal of Computational and Applied Mathematics},
     volume = {368},
     pages = {112477},
     year = {2020},
     publisher = {Elsevier},
     url = {https://www.sciencedirect.com/science/article/abs/pii/S0377042719304807},
   }

4. JMPA

   Poincaré path integrals for elasticity

   Snorre H Christiansen, Kaibo Hu, and Espen Sande

   Journal de Mathématiques Pures et Appliquées, 2020

   Bib HTML

   @article{christiansen2020poincare,
     title = {Poincar{\'e} path integrals for elasticity},
     author = {Christiansen, Snorre H and Hu, Kaibo and Sande, Espen},
     journal = {Journal de Math{\'e}matiques Pures et Appliqu{\'e}es},
     volume = {135},
     pages = {83--102},
     year = {2020},
     publisher = {Elsevier},
     url = {https://www.sciencedirect.com/science/article/abs/pii/S0021782419301187},
   }

5. BIT

   Nonstandard finite element de Rham complexes on cubical meshes

   Andrew Gillette, Kaibo Hu, and Shuo Zhang

   BIT Numerical Mathematics, 2020

   Bib HTML

   @article{gillette2020nonstandard,
     title = {Nonstandard finite element de Rham complexes on cubical meshes},
     author = {Gillette, Andrew and Hu, Kaibo and Zhang, Shuo},
     journal = {BIT Numerical Mathematics},
     volume = {60},
     pages = {373--409},
     year = {2020},
     publisher = {Springer},
     url = {https://link.springer.com/article/10.1007/s10543-019-00779-y},
   }

2019

1. Math.Comp.

   Structure-preserving finite element methods for stationary MHD models

   Kaibo Hu, and Jinchao Xu

   Mathematics of Computation, 2019

   Bib HTML

   @article{hu2019structure,
     title = {Structure-preserving finite element methods for stationary MHD models},
     author = {Hu, Kaibo and Xu, Jinchao},
     journal = {Mathematics of Computation},
     volume = {88},
     number = {316},
     pages = {553--581},
     year = {2019},
     url = {https://www.ams.org/mcom/2019-88-316/S0025-5718-2018-03341-5/},
   }

2. Num.Math.

   Generalized Gaffney inequality and discrete compactness for discrete differential forms

   Juncai He, Kaibo Hu, and Jinchao Xu

   Numerische Mathematik, 2019

   Bib HTML

   @article{he2019generalized,
     title = {Generalized Gaffney inequality and discrete compactness for discrete differential forms},
     author = {He, Juncai and Hu, Kaibo and Xu, Jinchao},
     journal = {Numerische Mathematik},
     volume = {143},
     number = {4},
     pages = {781--795},
     year = {2019},
     publisher = {Springer},
     url = {https://link.springer.com/article/10.1007/s00211-019-01076-0},
   }

2018

1. Num.Math.

   Generalized finite element systems for smooth differential forms and Stokes’ problem

   Snorre H Christiansen, and Kaibo Hu

   Numerische Mathematik, 2018

   Bib HTML

   @article{christiansen2018generalized,
     title = {Generalized finite element systems for smooth differential forms and Stokes’ problem},
     author = {Christiansen, Snorre H and Hu, Kaibo},
     journal = {Numerische Mathematik},
     volume = {140},
     pages = {327--371},
     year = {2018},
     publisher = {Springer},
     url = {https://link.springer.com/article/10.1007/s00211-018-0970-6},
   }

2. Num.Math.

   Nodal finite element de Rham complexes

   Snorre H Christiansen, Jun Hu, and Kaibo Hu

   Numerische Mathematik, 2018

   Bib HTML

   @article{christiansen2018nodal,
     title = {Nodal finite element de Rham complexes},
     author = {Christiansen, Snorre H and Hu, Jun and Hu, Kaibo},
     journal = {Numerische Mathematik},
     volume = {139},
     number = {2},
     pages = {411--446},
     year = {2018},
     publisher = {Springer},
     url = {https://link.springer.com/article/10.1007/s00211-017-0939-x},
   }

2017

1. Num.Math.

   Stable finite element methods preserving ∇⋅B=0 exactly for MHD models

   Kaibo Hu, Yicong Ma, and Jinchao Xu

   Numerische Mathematik, 2017

   Bib HTML

   @article{hu2017stable,
     title = {Stable finite element methods preserving $\nabla\cdot {B}=0$ exactly for MHD models},
     author = {Hu, Kaibo and Ma, Yicong and Xu, Jinchao},
     journal = {Numerische Mathematik},
     volume = {135},
     number = {2},
     pages = {371--396},
     year = {2017},
     publisher = {Springer},
     url = {https://link.springer.com/article/10.1007/s00211-016-0803-4},
   }

2016

1. JCP

   Robust preconditioners for incompressible MHD models

   Yicong Ma, Kaibo Hu, Xiaozhe Hu, and 1 more author

   Journal of Computational Physics, 2016

   Bib HTML

   @article{ma2016robust,
     title = {Robust preconditioners for incompressible MHD models},
     author = {Ma, Yicong and Hu, Kaibo and Hu, Xiaozhe and Xu, Jinchao},
     journal = {Journal of Computational Physics},
     volume = {316},
     pages = {721--746},
     year = {2016},
     publisher = {Elsevier},
     url = {https://www.sciencedirect.com/science/article/pii/S0021999116300602},
   }

2. Sci.China

   磁流体动力学方程组的稳定磁场-电流有限元格式

   胡凯博, and  许进超

   中国科学: 数学, 2016

   Bib HTML

   @article{mhd-chinese,
     title = {磁流体动力学方程组的稳定磁场-电流有限元格式},
     author = {胡凯博 and 许进超},
     journal = {中国科学: 数学},
     number = {7},
     pages = {967--980},
     year = {2016},
     doi = {10.1360/N012015-00364},
     url = {https://doi.org/10.1360/N012015-00364},
   }