Zhaonan Dong

33 papers Journal 33
YearRankTypeTitle / Venue / Authors
2026 J jnl
Corrigendum: \(hp\)-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes.
SIAM J. Sci. Comput.
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
2026 J jnl
On p-robust convergence and optimality of adaptive FEM driven by equilibrated-flux estimators.
CoRR
Théophile Chaumont-Frelet, Zhaonan Dong, Gregor Gantner, Martin Vohralík
2025 J jnl
A Hypocoercivity-Exploiting Stabilized Finite Element Method for Kolmogorov Equation.
SIAM J. Numer. Anal.
Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert
2025 J jnl
A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation.
CoRR
Zhaonan Dong, Emmanuil H. Georgoulis, Lorenzo Mascotto, Zuodong Wang
2025 J jnl
Asymptotic numerical hypocoercivity of the space-time discontinuous Galerkin method for Kolmogorov equation.
CoRR
Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert
2025 J jnl
On the constants in inverse trace inequalities for polynomials orthogonal to lower-order subspaces.
CoRR
Zhaonan Dong, Tanvi Wadhawan
2025 J jnl
hp-version discontinuous Galerkin time-stepping schemes for diffusive-viscous wave equation.
Comput. Math. Appl.
Min Zhang, Zhaonan Dong, Wenjing Yan
2024 J jnl
A hypocoercivity-exploiting stabilised finite element method for Kolmogorov equation.
CoRR
Zhaonan Dong, Emmanuil H. Georgoulis, Philip J. Herbert
2024 J jnl
A priori and a posteriori error estimates of a DG-CG method for the wave equation in second order formulation.
CoRR
Zhaonan Dong, Lorenzo Mascotto, Zuodong Wang
2024 J jnl
Homogeneous multigrid for hybrid discretizations: application to HHO methods.
CoRR
Daniele A. Di Pietro, Zhaonan Dong, Guido Kanschat, Pierre Matalon, Andreas Rupp
2023 J jnl
$hp$-optimal convergence of the original DG method for linear hyperbolic problems on special simplicial meshes.
CoRR
Zhaonan Dong, Lorenzo Mascotto
2023 J jnl
A Posteriori Error Estimates for Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes.
SIAM J. Numer. Anal.
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
2023 J jnl
An Improved High-Order Method for Elliptic Multiscale Problems.
SIAM J. Numer. Anal.
Zhaonan Dong, Moritz Hauck, Roland Maier
2022 J jnl
A posteriori error estimates for discontinuous Galerkin methods on polygonal and polyhedral meshes.
CoRR
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
2022 J jnl
An improved high-order method for elliptic multiscale problems.
CoRR
Zhaonan Dong, Moritz Hauck, Roland Maier
2022 J jnl
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CoRR
Zhaonan Dong, Alexandre Ern
2022 J jnl
Hybrid High-Order and Weak Galerkin Methods for the Biharmonic Problem.
SIAM J. Numer. Anal.
Zhaonan Dong, Alexandre Ern
2022 J jnl
Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence.
CoRR
Zhaonan Dong, Alexandre Ern, Jean-Luc Guermond
2022 J jnl
Robust Interior Penalty Discontinuous Galerkin Methods.
J. Sci. Comput.
Zhaonan Dong, Emmanuil H. Georgoulis
2022 J jnl
hp-optimal interior penalty discontinuous Galerkin methods for the biharmonic problem.
CoRR
Zhaonan Dong, Lorenzo Mascotto
2022 J jnl
hp-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements.
Math. Comput.
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
2021 J jnl
GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes.
SIAM J. Sci. Comput.
Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas
2021 J jnl
Hybrid high-order and weak Galerkin methods for the biharmonic problem.
CoRR
Zhaonan Dong, Alexandre Ern
2021 J jnl
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains.
CoRR
Zhaonan Dong, Alexandre Ern
2021 J jnl
On the suboptimality of the p-version discontinuous Galerkin methods for first order hyperbolic problems.
CoRR
Zhaonan Dong, Lorenzo Mascotto
2021 J jnl
Residual-Based A Posteriori Error Estimates for hp-Discontinuous Galerkin Discretizations of the Biharmonic Problem.
SIAM J. Numer. Anal.
Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton
2021 J jnl
Robust interior penalty discontinuous Galerkin methods.
CoRR
Zhaonan Dong, Emmanuil H. Georgoulis
2020 J jnl
GPU-accelerated discontinuous Galerkin methods on polytopic meshes.
CoRR
Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas
2020 J jnl
Residual-based a posteriori error estimates for hp-discontinuous Galerkin discretisations of the biharmonic problem.
CoRR
Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton
2019 J jnl
On the exponent of exponential convergence of p-version FEM spaces.
Adv. Comput. Math.
Zhaonan Dong
2019 J jnl
hp-Version discontinuous Galerkin methods on essentially arbitrarily-shaped elements.
CoRR
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis
2018 J jnl
A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients.
Comput. Math. Appl.
Zhaonan Dong, Emmanuil H. Georgoulis, Jeremy Levesley, Fuat Usta
2017 J jnl
hp-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes.
SIAM J. Sci. Comput.
Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis