Follow
Zhaonan (Peter) Dong
Title
Cited by
Cited by
Year
hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
A Cangiani, Z Dong, EH Georgoulis, P Houston
Springer, Cham 8, 131, 2017
3512017
Review of discontinuous Galerkin finite element methods for partial differential equations on complicated domains
PF Antonietti, A Cangiani, J Collis, Z Dong, EH Georgoulis, S Giani, ...
Building bridges: connections and challenges in modern approaches to …, 2016
952016
hp-version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes
A Cangiani, Z Dong, EH Georgoulis, P Houston
ESAIM: Mathematical Modelling and Numerical Analysis 50 (3), 699-725, 2016
732016
-Version space-time discontinuous Galerkin methods for parabolic problems on prismatic meshes
A Cangiani, Z Dong, EH Georgoulis
SIAM J. Sci. Comput., 39(4), A1251–A1279., 2017
692017
ℎ𝑝-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements
A Cangiani, Z Dong, E Georgoulis
Mathematics of Computation 91 (333), 1-35, 2022
392022
Hybrid high-order and weak Galerkin methods for the biharmonic problem
Z Dong, A Ern
SIAM Journal on Numerical Analysis 60 (5), 2626-2656, 2022
262022
Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes
Z Dong
International Journal of Numerical Analysis and Modeling 16 (5), 825–846, 2018
122018
Robust interior penalty discontinuous Galerkin methods
Z Dong, EH Georgoulis
Journal of Scientific Computing 92 (2), 57, 2022
92022
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains
Z Dong, A Ern
ESAIM: Mathematical Modelling and Numerical Analysis 55 (6), 3091-3114, 2021
92021
An improved high-order method for elliptic multiscale problems
Z Dong, M Hauck, R Maier
SIAM Journal on Numerical Analysis 61 (4), 1918-1937, 2023
82023
Recovered finite element methods on polygonal and polyhedral meshes
Z Dong, EH Georgoulis, T Pryer
ESAIM: Mathematical Modelling and Numerical Analysis 54 (4), 1309 - 1337, 2020
72020
Fast multilevel sparse Gaussian kernels for high-dimensional approximation and integration
Z Dong, EH Georgoulis, J Levesley, F Usta
arXiv preprint arXiv:1501.03296, 2015
62015
GPU-accelerated discontinuous Galerkin methods on polytopic meshes
Z Dong, EH Georgoulis, T Kappas
SIAM Journal on Scientific Computing 43 (4), C312-C334, 2021
52021
A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients
Z Dong, EH Georgoulis, J Levesley, F Usta
Computers & Mathematics with Applications 76 (8), 1950-1965, 2018
52018
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes
A Cangiani, Z Dong, EH Georgoulis
SIAM Journal on Numerical Analysis 61 (5), 2352-2380, 2023
42023
Residual-Based A Posteriori Error Estimates for -Discontinuous Galerkin Discretizations of the Biharmonic Problem
Z Dong, L Mascotto, OJ Sutton
SIAM Journal on Numerical Analysis 59 (3), 1273-1298, 2021
42021
On the exponent of exponential convergence of p-version FEM spaces
Z Dong
Advances in Computational Mathematics, 1-29, 2018
4*2018
-Optimal Interior Penalty Discontinuous Galerkin Methods for the Biharmonic Problem
Z Dong, L Mascotto
Journal of Scientific Computing 96 (1), 30, 2023
32023
Discontinuous Galerkin methods on polytopic meshes
Z Dong
University of Leicester, 2017
32017
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence
Z Dong, A Ern, JL Guermond
arXiv preprint arXiv:2201.01708, 2022
12022
The system can't perform the operation now. Try again later.
Articles 1–20