3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2024
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…