Weighted extended B-spline method for the approximation of the stationary Stokes problem

Journal of Computational and Applied Mathematics

Volumn 186, Issue 2, 2006, Pages 335-348

  Kumar, V V K Srinivas ^a   Kumar, B V Rathish ^b   Das, P C ^b  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Inf sup condition; Stokes equations; WEB splines

Indexed keywords

APPROXIMATION THEORY; CONDITION MONITORING; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; PRESSURE EFFECTS; SPLINES; THEOREM PROVING;

INF-SUP CONDITIONS; STOKES EQUATION; VELOCITY CONSTANT PRESSURE; WEB-SPLINES;

NAVIER STOKES EQUATIONS;

EID: 26444454866     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.02.008     Document Type: Article

References (9)

1. D. Braess Finite elements, Theory, Fast Solvers, and Applications in Solid Mechanics 1997 Cambridge University Press Cambridge, New York, Melbourne
2. F. Brezzi, and M. Fortin Mixed and Hybrid Finite Element Methods 1991 Springer Berlin, Heidelberg, New York
3. V. Girault, P.-A. Raviart, Finite Element Method for the Navier-Stokes Equations, SCM5. Springer, Berlin, Heidelberg, New York, 1986.
4. H.J. Choe, D.W. Kim, H.H. Kim, and Y. Kim Meshless method for the stationary incompressible Navier-Stokes equations Discrete and Cont. Dynamical Syst. Ser. B 1 4 2001 495 526
5. K. Hollig Finite Element Methods with B-splines 2003 SIAM Philadelphia
6. K. Hollig, U. Reif, and J. Wipper Weighted extended B-spline approximation of Dirichlet problems SIAM J. Numer. Anal. 39-2 2000 442 462
7. K. Hollig, U. Reif, and J. Wipper Error estimates for the Web-spline method T. Lyche L.L. Schumaker Mathematical Methods for Curves and Surfaces 2000 Oslo Vanderbilt University Press Nashville, TN 195 209
8. K. Hollig, U. Reif, J. Wipper, B-spline Approximation of Neumann Problems, Preprint 2001-2, Universitat Stuttgart.
9. S. Kesavan Topics in Functional Analysis and Applications 1989 Wiley Eastern Limited