113 citations
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math.NA2022★ 17 cited
A posteriori error analysis for approximations of time-fractional subdiffusion problems
Lehel Banjai, Charalambos G. Makridakis
In this paper we consider a sub-diffusion problem where the fractional time derivative is approximated either by the L1 scheme or by Convolution Quadrature. We propose new interpre…
math.NA2020★ 13 cited
Boussinesq-Peregrine water wave models and their numerical approximation
Theodoros Katsaounis, Dimitrios Mitsotakis, George Sadaka
In this paper we consider the numerical solution of Boussinesq-Peregrine type systems by the application of the Galerkin finite element method. The structure of the Boussinesq syst…