An adaptive algorithm for the transport equation with time dependent velocity

Abstract An a posteriori error estimate is derived for the approximation of the transport equation with a time dependent transport velocity. Continuous, piecewise linear, anisotropic finite elements are used for space discretization, the Crank-Nicolson scheme scheme is proposed for time discretizati...

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Bibliographic Details
Main Authors: Samuel Dubuis, Marco Picasso
Format: Article
Language:English
Published: Springer 2020-08-01
Series:SN Applied Sciences
Subjects:
Online Access:https://doi.org/10.1007/s42452-020-03283-z