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

Author: Brandts J.H.1

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

Publisher: Springer

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content

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, Zcaronitná 25, CZ-115 67 Praha 1, Czech Republic. brandts@math.cas.czitná 25, CZ-115 67 Praha 1, Czech Republic. brandts@math.cas.cz">

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$47.00 plus tax      Refund Policy

 

OR

Back to top

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages.
Page Help Click here for Page Help
Shopping cart
Tools
Sign in






Need to register?
Sign up here
Text size: A | A | A | A