Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644916 | Applied Numerical Mathematics | 2016 | 24 Pages |
Abstract
We consider the stationary Stokes equations under a unilateral boundary condition of Signorini's type, which is one of artificial boundary conditions in flow problems. Well-posedness is discussed through its variational inequality formulation. We also consider the finite element approximation for a regularized penalty problem. The well-posedness, stability and error estimates of optimal order are established. The lack of a coupled Babuška and Brezzi's condition makes analysis difficult. We offer a new method of analysis. Particularly, our device to treat the pressure is novel and of some interest. Numerical examples are presented to validate our theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Norikazu Saito, Yoshiki Sugitani, Guanyu Zhou,