3 papers
math.NA2021
On the suboptimality of the p-version discontinuous Galerkin methods for first order hyperbolic problems
Zhaonan Dong, Lorenzo Mascotto
We address the issue of the suboptimality in the p-version discontinuous Galerkin (dG) methods for first order hyperbolic problems. The convergence rate is derived for the upwind d…
math.NA2020
Stability analysis of polytopic Discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems
Paola F. Antonietti, Lorenzo Mascotto, Marco Verani +1
We present a stability analysis of the Discontinuous Galerkin method on polygonal and polyhedral meshes (PolyDG) for the Stokes problem. In particular, we analyze the discrete inf-…
math.NA2020
Residual-based a posteriori error estimates for -discontinuous Galerkin discretisations of the biharmonic problem
Zhaonan Dong, Lorenzo Mascotto, Oliver J. Sutton
We introduce a residual-based a posteriori error estimator for a novel -version interior penalty discontinuous Galerkin method for the biharmonic problem in two and three dimen…