Zhaonan Dong

Publication Activity (10 Years)

Years Active: 2017-2024
Publications (10 Years): 25

Top Topics

Error Estimates

Top Venues

SIAM J. Numer. Anal.

SIAM J. Sci. Comput.

Comput. Math. Appl.

Publications

Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert
A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation. CoRR (2024)
Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp
Homogeneous multigrid for hybrid discretizations: application to HHO methods. CoRR (2024)
Zhaonan Dong, Moritz Hauck, Roland Maier
An Improved High-Order Method for Elliptic Multiscale Problems. SIAM J. Numer. Anal. 61 (4) (2023)
Zhaonan Dong, Lorenzo Mascotto
$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes. CoRR (2023)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes. SIAM J. Numer. Anal. 61 (5) (2023)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
hp-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. Math. Comput. 91 (333) (2022)
Zhaonan Dong, Moritz Hauck, Roland Maier
An improved high-order method for elliptic multiscale problems. CoRR (2022)
Zhaonan Dong, Alexandre Ern
-hybrid high-order methods for biharmonic problems. CoRR (2022)
Zhaonan Dong, Emmanuil H. Georgoulis
Robust Interior Penalty Discontinuous Galerkin Methods. J. Sci. Comput. 92 (2) (2022)
Zhaonan Dong, Alexandre Ern
Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem. SIAM J. Numer. Anal. 60 (5) (2022)
Zhaonan Dong, Lorenzo Mascotto
hp-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem. CoRR (2022)
Zhaonan Dong, Alexandre Ern, Jean-Luc Guermond
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence. CoRR (2022)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes. CoRR (2022)
Zhaonan Dong, Alexandre Ern
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains. CoRR (2021)
Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas
GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes. SIAM J. Sci. Comput. 43 (4) (2021)
Zhaonan Dong, Emmanuil H. Georgoulis
Robust interior penalty discontinuous Galerkin methods. CoRR (2021)
Zhaonan Dong, Lorenzo Mascotto
On the suboptimality of the p-version discontinuous Galerkin methods for first order hyperbolic problems. CoRR (2021)
Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton
Residual-Based A Posteriori Error Estimates for hp-Discontinuous Galerkin Discretizations of the Biharmonic Problem. SIAM J. Numer. Anal. 59 (3) (2021)
Zhaonan Dong, Alexandre Ern
Hybrid high-order and weak Galerkin methods for the biharmonic problem. CoRR (2021)
Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas
GPU-accelerated discontinuous Galerkin methods on polytopic meshes. CoRR (2020)
Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton
Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem. CoRR (2020)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
hp-Version discontinuous Galerkin methods on essentially arbitrarily-shaped elements. CoRR (2019)
Zhaonan Dong
On the exponent of exponential convergence of p-version FEM spaces. Adv. Comput. Math. 45 (2) (2019)
Zhaonan Dong, Emmanuil H. Georgoulis, Jeremy Levesley, Fuat Usta
A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients. Comput. Math. Appl. 76 (8) (2018)
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
hp-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes. SIAM J. Sci. Comput. 39 (4) (2017)