2 citations · 2 across the 2 of their papers we have counts for
8 papers
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…
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…
Sobolev-Poincaré inequalities for piecewise functions over general polytopic meshes
Michele Botti, Lorenzo Mascotto
We establish Sobolev-Poincaré inequalities for piecewise functions over families of fairly general polytopic (thence also shape-regular simplicial and Cartesian) meshes…
A generalized Hessian-based error estimator for an IPDG formulation of the biharmonic problem in two dimensions
Théophile Chaumont-Frelet, Joscha Gedicke, Lorenzo Mascotto
We consider a two dimensional biharmonic problem and its discretization by means of a symmetric interior penalty discontinuous Galerkin method. A novel split of an error measure ba…
Trace inequalities for piecewise functions over general polytopic meshes
Michele Botti, Lorenzo Mascotto
Trace inequalities are crucial tools to derive the stability of partial differential equations with inhomogeneous, natural boundary conditions. In the analysis of corresponding Gal…
New Crouzeix-Raviart elements of even degree: theoretical aspects, numerical performance, and applications to the Stokes' equations
Andrea Bressan, Lorenzo Mascotto, Marialetizia Mosconi
We construct new Crouzeix-Raviart (CR) spaces of even degree that are spanned by basis functions mimicking those for the odd degree case. Compared to the standard CR gospel, th…