Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 435, Issue 1, Pages 646-660Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.10.040
Keywords
Stokes equations; Damped term; Stabilization methods; Low order elements; Error estimates
Categories
Funding
- National Basic Research Program of China (973 Program) [2011CB013800]
- National Natural Science Fund of China [10971203, 11271340]
Ask authors/readers for more resources
In this paper, we consider the stationary Stokes equations with damping. Low order Mixed finite element spaces are used to approximate the velocity and the pressure, and a local pressure projection stabilization method is used for the pairs to overcome the lack of the inf-sup condition. The stability of this method is proved, and the optimal order error estimates are derived by some nonlinear analysis techniques. At last, two numerical examples are implemented to test the stability and effectiveness of the proposed method. (C) 2015 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
