Zhaonan Dong

23
Documents
Affiliations actuelles
  • Simulation for the Environment: Reliable and Efficient Numerical Algorithms (SERENA)
  • Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS)
Identifiants chercheurs

Domaines de recherche

Mathématiques [math]

Publications

Publications

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A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation

Zhaonan Dong , Emmanuil H Georgoulis , Philip J. Herbert
SIAM Journal on Numerical Analysis, 2025, 63 (3), pp.1105--1127. ⟨10.1137/24M163373X⟩
Article dans une revue hal-04413333 v2
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Homogeneous multigrid for hybrid discretizations: application to HHO methods

Daniele A. Di Pietro , Zhaonan Dong , Guido Kanschat , Pierre Matalon , Andreas Rupp
Numerical Methods for Partial Differential Equations, 2025, 41 (5), ⟨10.1002/num.70023⟩
Article dans une revue hal-04518103 v3
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$hp$-version discontinuous Galerkin time-stepping schemes for diffusive-viscous wave equation

Min Zhang , Zhaonan Dong , Wenjing Yan
Computers & Mathematics with Applications, 2025, 200, pp.145--166. ⟨10.1016/j.camwa.2025.09.021⟩
Article dans une revue hal-05007733 v2
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$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes

Zhaonan Dong , Lorenzo Mascotto
IMA Journal of Numerical Analysis, In press, ⟨10.1093/imanum/drae051⟩
Article dans une revue hal-04252310 v3
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$C^0$-hybrid high-order methods for biharmonic problems

Zhaonan Dong , Alexandre Ern
IMA Journal of Numerical Analysis, 2024, 44 (1), pp.24-57. ⟨10.1093/imanum/drad003⟩
Article dans une revue hal-03695484 v3
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Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence

Zhaonan Dong , Alexandre Ern , Jean-Luc Guermond
Comptes Rendus. Mathématique, 2023, 361, pp.723-736. ⟨10.5802/crmath.347⟩
Article dans une revue hal-03513280 v2
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A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes

Andrea Cangiani , Zhaonan Dong , Emmanuil H Georgoulis
SIAM Journal on Numerical Analysis, 2023, 61 (5), pp.2352--2380. ⟨10.1137/22M1516701⟩
Article dans une revue hal-03753221 v3
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An improved high-order method for elliptic multiscale problems

Zhaonan Dong , Moritz Hauck , Roland Maier
SIAM Journal on Numerical Analysis, 2023, 61 (4), pp.1918-1937. ⟨10.1137/22M153392X⟩
Article dans une revue hal-03839664 v2
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hp-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem

Zhaonan Dong , Lorenzo Mascotto
Journal of Scientific Computing, In press, 96 (30), pp.30. ⟨10.1007/s10915-023-02253-y⟩
Article dans une revue hal-03889072 v2
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Hybrid high-order and weak Galerkin methods for the biharmonic problem

Zhaonan Dong , Alexandre Ern
SIAM Journal on Numerical Analysis, 2022, 60 (5), pp.2626-2656. ⟨10.1137/21M1408555⟩
Article dans une revue hal-03185683 v2
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$hp$ -Version discontinuous Galerkin methods on essentially arbitrarily-shaped elements

Andrea Cangiani , Zhaonan Dong , Emmanuil H Georgoulis
Mathematics of Computation, 2022, 91 (333), pp.1-35. ⟨10.1090/mcom/3667⟩
Article dans une revue hal-03109470 v3
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Robust interior penalty discontinuous Galerkin methods

Zhaonan Dong , Emmanuil H Georgoulis
Journal of Scientific Computing, 2022, 92 (2), pp.57. ⟨10.1007/s10915-022-01916-6⟩
Article dans une revue hal-03315088 v3
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Hybrid high-order method for singularly perturbed fourth-order problems on curved domains

Zhaonan Dong , Alexandre Ern
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (6), pp.3091-3114. ⟨10.1051/m2an/2021081⟩
Article dans une revue hal-03322267 v2
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Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem

Zhaonan Dong , Lorenzo Mascotto , Oliver J Sutton
SIAM Journal on Numerical Analysis, 2021, 59 (3), pp.1273--1298. ⟨10.1137/20M1364114⟩
Article dans une revue hal-03107210 v2
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GPU-accelerated discontinuous Galerkin methods on polytopic meshes

Zhaonan Dong , Emmanuil H Georgoulis , Thomas Kappas
SIAM Journal on Scientific Computing, 2021, 43 (4), pp.C312-C334. ⟨10.1137/20M1350984⟩
Article dans une revue hal-03109548 v2