5 papers
Pressure-robust -a posteriori error estimates of -conforming discontinuous Galerkin methods for the Stokes equations
Zhaonan Dong, Zuodong Wang, Lina Zhao
We devise and analyze a pressure-robust residual-based -a posteriori error estimator for -conforming discontinuous Galerkin (dG) methods for the S…
-a posteriori error estimates for hybrid high-order methods applied to biharmonic problems
Zhaonan Dong, Alexandre Ern, Tanvi Wadhawan
We derive a residual-based -a posteriori error estimator for hybrid high-order (HHO) methods on simplicial meshes applied to the biharmonic problem posed on two- and three-dime…
A note on the constants in inverse trace inequalities for polynomials orthogonal to lower-order subspaces
Zhaonan Dong, Tanvi Wadhawan
We derive sharp, explicit constants in inverse trace inequalities for polynomial functions belonging to (polynomial space with total degree ) that are orthogon…
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 +1
We establish rigorous \emph{a posteriori} error bounds for a space-time finite element method of arbitrary order discretising linear wave problems in second order formulation. The…
A priori and a posteriori error estimates of a -in-time method for the wave equation in second order formulation
Zhaonan Dong, Lorenzo Mascotto, Zuodong Wang
We establish fully-discrete a priori and semi-discrete in time a posteriori error estimates for a discontinuous-continuous Galerkin discretization of the wave equation in second or…