Singular perturbation with a reduced approximation order in space for the parabolic operator

BERKANE Ahmed, BERKANE Ali, BELHOUT Mohamed

Abstract



This work is devoted to singular perturbation of the parabolic equation with discontinuous coefficients for the time operator. For P1 - P0 finite element, by using a reduction of the approximation order for the time differential operator, we propose a numerical method which does not have any oscillations in the neighborhood of the coefficient discontinuity. Error estimates of order tow with respect to space are provided, and we have compared this method with the modified second member method (T.T. Cuc Bui, 2008). Euler explicit and implicit time schemes are proposed, and by considering a toy problem, the order one and tow of convergence with respect to time and space is checked.

Keywords


singular mass matrix; error estimates; degenerate operator.

Refbacks

  • There are currently no refbacks.


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.