Zhaonan Dong

According to our database, Zhaonan Dong authored at least 20 papers between 2017 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

<i>hp</i>-error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes.

Zhaonan Dong, Alexandre Ern

CoRR, 2024

Homogeneous multigrid for hybrid discretizations: application to HHO methods.

Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp

CoRR, 2024

A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation.

Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert

CoRR, 2024

2023

A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes.

Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis

SIAM J. Numer. Anal., October, 2023

An Improved High-Order Method for Elliptic Multiscale Problems.

Zhaonan Dong, Moritz Hauck, Roland Maier

SIAM J. Numer. Anal., August, 2023

$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes.

Zhaonan Dong, Lorenzo Mascotto

CoRR, 2023

2022

Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem.

Zhaonan Dong, Alexandre Ern

SIAM J. Numer. Anal., 2022

hp-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements.

Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis

Math. Comput., 2022

Robust Interior Penalty Discontinuous Galerkin Methods.

Zhaonan Dong, Emmanuil H. Georgoulis

J. Sci. Comput., 2022

hp-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem.

Zhaonan Dong, Lorenzo Mascotto

CoRR, 2022

C⁰-hybrid high-order methods for biharmonic problems.

Zhaonan Dong, Alexandre Ern

CoRR, 2022

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

CoRR, 2022

2021

GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes.

Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas

SIAM J. Sci. Comput., 2021

Residual-Based A Posteriori Error Estimates for hp-Discontinuous Galerkin Discretizations of the Biharmonic Problem.

Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton

SIAM J. Numer. Anal., 2021

Hybrid high-order method for singularly perturbed fourth-order problems on curved domains.

Zhaonan Dong, Alexandre Ern

CoRR, 2021

On the suboptimality of the p-version discontinuous Galerkin methods for first order hyperbolic problems.

Zhaonan Dong, Lorenzo Mascotto

CoRR, 2021

2020

Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem.

Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton

CoRR, 2020

2019

On the exponent of exponential convergence of p-version FEM spaces.

Zhaonan Dong

Adv. Comput. Math., 2019

2018

A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients.

Zhaonan Dong, Emmanuil H. Georgoulis, Jeremy Levesley, Fuat Usta

Comput. Math. Appl., 2018

2017

hp-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes.

Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis

SIAM J. Sci. Comput., 2017