A fully discrete BEM-FEM for the exterior stokes problem in the plane

SIAM Journal on Numerical Analysis

Volumn 37, Issue 6, 2000, Pages 2082-2102

  Meddahi, Salim ^a   Sayas, Francisco Javier ^b  

^a UNIVERSITY OF OVIEDO   (Spain)

^b UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

Boundary elements; Exterior stokes problem; Mixed finite elements

Indexed keywords

EID: 0000782634     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142998341027     Document Type: Article

References (16)

1. C. BERNARDI, Optimal finite-element interpolation on curved domains, SIAM J. Numer. Anal., 26 (1989), pp. 1212-1240.
2. C. BERNARDI AND G. RAUGEL, Analysis of some finite elements for the Stokes problem. Math. Comp., 44 (1985), pp. 71-79.
3. F. BREZZI AND M. FORTIN, Mixed and Hybrid Finite Element Methods, Springer-Verlag, New York, 1991.
4. P. G. CIARLET, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978.
5. M. CROUZEIX AND F.-J. SAYAS, Asymptotic expansions of the error of spline Galerkin boundary element methods, Numer. Math., 78 (1998), pp. 523-547.
6. G. N. GATICA AND G. C. HSIAO, Boundary-field equation methods for a class of nonlinear problems, Pitman Res. Notes Math. Ser. 331, Longman Scientific and Technical, Harlow, UK, 1995.
7. V. GIRAULT AND P.-A. RAVIART, Finite Element Methods for Navier-Stokes Equations, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1986.
8. G. C. HSIAO, P. KOPP, AND W. L. WENDLAND, A Galerkin collocation method for some integral equations of the first kind, Computing, 25 (1980), pp. 557-566.
9. C. JOHNSON AND J. C. NEDELEC, On the coupling of boundary integral and finite element methods, Math. Comp., 35 (1980), pp. 1063-1079.
10. R. KRESS, Linear Integral Equations, Springer-Verlag, New York, Berlin, 1989.
11. S. MEDDAHI, An optimal iterative process for the Johnson-Nedelec method of coupling boundary and finite elements, SlAM J. Numer. Anal., 35 (1998), pp. 1393-1415.
12. R. SCOTT, Interpolated boundary conditions in the finite element method, SIAM J. Numer. Anal., 12 (1975), pp. 404-427.
13. A. SEQUEIRA, The coupling of boundary integral and finite element methods for the bidimensional exterior steady Stokes problem, Math. Methods Appl. Sci., 5 (1983), pp. 356-375.
14. I. H. SLOAN, Error analysis of boundary integral methods, in Acta Numerica 1992, A. Iserles, ed., Cambridge University Press, Cambridge, UK, 1992.
15. A. ŽENÍŠEK, Nonlinear Elliptic and Evolution Problems and their Finite Element Approximations, Academic Press, London, 1990.
16. M. ZLÁMAL, Curved elements in the finite element method I, SIAM J. Numer. Anal., 10 (1973), pp. 229-240.