66 citations · 292 across the 31 of their papers we have counts for
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math.NA2017
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…
math.NA2017
Stability and optimal convergence of unfitted extended finite element methods with Lagrange multipliers for the Stokes equations
Michel Fournié, Alexei Lozinski
We study a fictitious domain approach with Lagrange multipliers to discretize Stokes equations on a mesh that does not fit the boundaries. A mixed finite element method is used for…
math.NA2017
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…