Zhaonan Dong Chargé de Recherche (Tenured Researcher)

Identifiants chercheurs

IdHAL :

zhaonan-dong

ORCID :

0000-0003-4083-6593

Publications

Pré-publication, Document de travail (10)

On $p$-robust convergence and optimality of adaptive FEM driven by equilibrated-flux estimators Théophile Chaumont-Frelet,Zhaonan Dong,Gregor Gantner,Martin Vohralík 2026 Pré-publication, Document de travail hal-05544956v1
Asymptotic numerical hypocoercivity of the space-time discontinuous Galerkin method for the Kolmogorov equation Zhaonan Dong,Emmanuil H Georgoulis,Philip J. Herbert 2026 Pré-publication, Document de travail hal-05080993v3
Weighted $\boldsymbol{H}^2$ regularity of fluid-structure interaction when the interface intersects the boundary Zhaonan Dong,Tiantian Huang,Buyang Li 2026 Pré-publication, Document de travail hal-05507626v1
$hp$-a posteriori error estimates for hybrid high-order methods applied to biharmonic problems Zhaonan Dong,Alexandre Ern,Tanvi Wadhawan 2026 Pré-publication, Document de travail hal-05498158v1
The pressure-robust virtual element methods with reconstruction for the Stokes equation Jikun Zhao,Wenhao Zhu,Zhaonan Dong,Shipeng Mao 2025 Pré-publication, Document de travail hal-05288123v1
On the constants in inverse trace inequalities for polynomials orthogonal to lower-order subspaces Zhaonan Dong,Tanvi Wadhawan 2025 Pré-publication, Document de travail hal-05419621v1
A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation Zhaonan Dong,Emmanuil H Georgoulis,Lorenzo Mascotto,Zuodong Wang 2025 Pré-publication, Document de travail hal-05248777v1
A priori and a posteriori error estimates of a $C^0$-in-time method for the wave equation in second order formulation Zhaonan Dong,Lorenzo Mascotto,Zuodong Wang 2025 Pré-publication, Document de travail hal-04768144v2
Adaptive robust interior penalty discontinuous Galerkin methods Zhaonan Dong,Emmanuil H Georgoulis,Natalia Kopteva 2025 Pré-publication, Document de travail hal-05436540v1
$hp$-error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes Zhaonan Dong,Alexandre Ern 2025 Pré-publication, Document de travail hal-04720237v2

Article dans une revue (16)

$\boldsymbol {H} (\textbf{curl})$-reconstruction of piecewise polynomial fields with application to $hp$-a posteriori nonconforming error analysis for Maxwell's equations Zhaonan Dong,Alexandre Ern SIAM Journal on Numerical Analysis, In press Article dans une revue hal-05213366v3
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-04413333v2
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-04518103v3
$hp$-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-05007733v2
$hp$-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-04252310v3
$C^0$-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-03695484v3
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-03839664v2
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-03753221v3
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-03513280v2
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-03889072v2
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-03185683v2
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-03315088v3
$hp$ -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-03109470v3
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-03109548v2
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-03107210v2
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-03322267v2

Communication dans un congrès (2)

On the suboptimality of the p-version discontinuous Galerkin methods for first order hyperbolic problems Zhaonan Dong,Lorenzo Mascotto 14th WCCM-ECCOMAS Congress 2020, Jan 2021, Paris, France. ⟨10.23967/wccm-eccomas.2020.033⟩ Communication dans un congrès hal-03104757v1
Hybrid high-order methods for elliptic PDEs on curved and complicated domains Zhaonan Dong,Zuodong Wang 13th ICOSAHOM 2020/2021 Conference Proceeding, Jul 2021, Vienna, Austria Communication dans un congrès hal-03476090v2