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Postprocessing the finite element method for semilinear parabolic problems

Yubin Yan (Institutionen för matematiska vetenskaper, matematik)
SIAM J. Numer. Anal. (0036-1429 ). Vol. 44 (2006), 4, p. 1681-1702 .
[Artikel, refereegranskad vetenskaplig]

In this paper we consider postprocessing of the finite element method for semilinear parabolic problems. The postprocessing amounts to solving a linear elliptic problem on a finer grid (or higher-order space) once the time integration on the coarser mesh is completed. The convergence rate is increased at almost no additional computational cost. This procedure was introduced and analyzed in García-Archilla and Titi [SIAM J. Numer. Anal., 37 (2000), pp. 470–499]. We extend the analysis to the fully discrete case and prove error estimates for both space and time discretization. The analysis is based on error estimates for the approximation of time derivatives by difference quotients.



Denna post skapades 2008-10-06.
CPL Pubid: 74861

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Numerisk analys

Chalmers infrastruktur