5 papers
Well-posedness and finite element approximation of the electrostatic shear Alfvén wave equations
Annalisa Buffa, Timon Miehling, Marco Picasso +1
The aim of this paper is to study the well-posedness and finite element approximation of the electrostatic shear Alfvén wave equations, a coupled system of two partial differential…
A Recovery-Based Error Indicator for Finite Difference Methods
Ferhat Sindy, Annalisa Buffa, Marco Picasso
A novel recovery-based error indicator for high-order Finite Difference Methods, based on post-processing of the Finite Difference values is presented. The values obtained on the F…
An easily computable error estimator in space and time for the wave equation
Olga Gorynina, Alexei Lozinski, Marco Picasso
We propose a cheaper version of \textit{a posteriori} error estimator from arXiv:1707.00057 for the linear second-order wave equation discretized by the Newmark scheme in time and…
Time and space adaptivity of the wave equation discretized in time by a second order scheme
Olga Gorynina, Alexei Lozinski, Marco Picasso
The aim of this paper is to obtain a posteriori error bounds of optimal order in time and space for the linear second-order wave equation discretized by the Newmark scheme in time…
A posteriori analysis of Chorin-Temam scheme for Stokes equations
Sébastien Boyaval, M. Picasso
We consider Chorin-Temam scheme (the simplest pressure-correction projection method) for the time-discretization of an unstationary Stokes problem. Inspired by the analyses of the…