Paper Info
Title
Crouzeix–Raviart Finite Element Approximation for the Parabolic Obstacle Problem
Abstract
We introduce and study a fully discrete nonconforming finite element approximation for a parabolic variational inequality associated with a general obstacle problem. The method comprises of the Crouzeix-Raviart finite element method for space discretization and implicit backward Euler scheme for time discretization. We derive an error estimate of optimal order O(h + Delta t) in a certain energy norm defined precisely in the article. We only assume the realistic regularity u(t) is an element of L-2 (0, T; L-2 (Omega)) and moreover the analysis is performed without any assumptions on the speed of propagation of the free boundary. We present a numerical experiment to illustrate the theoretical order of convergence derived in the article.
Year
DOI
Venue
2020
10.1515/cmam-2019-0057
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS
Keywords
DocType
Volume
Finite Element,Parabolic Obstacle Problem
Journal
20
Issue
ISSN
Citations 
2
1609-4840
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Thirupathi Gudi113514.43
Papri Majumder201.01