Superconvergence of mixed finite element semi-discretizations of two time-dependent problems

Author: Brandts J.H.

Source: Applications of Mathematics, Volume 44, Number 1, February 1999 , pp. 43-53(11)

Publisher: Springer

Abstract:

We will show that some of the superconvergence properties for the mixed finite element method for elliptic problems are preserved in the mixed semi-discretizations for a diffusion equation and for a Maxwell equation in two space dimensions. With the help of mixed elliptic projection we will present estimates global and pointwise in time. The results for the Maxwell equations form an extension of existing results. For both problems, our results imply that post-processing and a posteriori error estimation for the error in the space discretization can be performed in the same way as for the underlying elliptic problem.

Keywords: superconvergence; diffusion equation; Maxwell equations; mixed elliptic projection

Language: English

Document Type: Research article

Affiliations: 1: Mathematical Institute, Academy of Sciences, itná 25, CZ-115 67 Praha 1, Czech Republic. brandts@math.cas.czitná 25, CZ-115 67 Praha 1, Czech Republic. brandts@math.cas.cz">

Publication date: 1999-02-01

• In this: publication
• By this: publisher
• In this Subject: Mathematics and Statistics
• By this author: Brandts J.H.

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers