Implementation of a Least-squares Finite Element Method for Solving the Stokes Problem with a Parameter

Numerical Linear Algebra with Applications

Volumn 6, Issue 7, 1999, Pages 587-597

  Arushanian, I O ^a   Kobelkov, G M ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Generalized Stokes problem; Least squares finite element method

Indexed keywords

EID: 0033262334     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199910/11)6:7<587::AID-NLA182>3.0.CO;2-Z     Document Type: Article

References (10)

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2. I. O. Arushanian and G. M. Kobelkov. Implementation of least-squares finite element method for solving the generalized Stokes problem. Department of Mathematics, University of Nijmegen, The Netherlands, Report No. 9901, 1999.
3. I. O. Arushanian and G. M. Kobelkov. Implementation of a least-squares finite element method for solving the Stokes problem with periodic boundary conditions. Subroutine Libraries and Application Program Packages, Science Research Computer Center, Moscow State University, Moscow, 57-67, 1998 (in Russian).
4. O. Axelsson. Iterative Solution Methods. Cambridge University Press, New York, 1994.
5. P. Bochev and M. Gunzburger. Analysis of least-squares finite element methods for the Stokes equations. Math. Comp., 63, 479-506, 1994.
6. J. H. Bramble, R. D. Lazarov and J. E. Pasciak. A least-squares approach based on a discrete minus one inner product for first order systems. Math. Comp., 66, 935-955, 1997.
7. B.-N. Jiang and L. A. Povinelli. Least-squares finite element method for fluid dynamics. Computer Methods in Appl. Mech. Engng., 81, 13-37, 1990.
8. B.-N. Jiang and L. A. Povinelli. Optimal least-squares finite element method for elliptic problems. Computer Methods in Appl. Mech. & Engng., 102, 199-212, 1993.
9. G. M. Kobelkov. Numerical methods for solving Navier-Stokes equations in velocity-pressure variables. Comput. Processes & Systems, Nauka, Moscow, 8, 204-236, 1991 (in Russian).
10. G. M. Kobelkov. Solution of the problem on stiff contact for an incompressible material. Zhurnal Vychislitel'noi Matem. i Matem. Fiz., 16, 987-995, 1976 (in Russian).