On Galerkin methods

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue SUPPL. 2, 1996, Pages 257-260

  Wendland, W L ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444437013     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. AGRANOVICH, M.S. : Elliptic Operators on Closed Manifolds; In: Partial Differential Equations VI (Egorov, Yu, V., Shubin, M.A. eds.), Springer-Verlag Berlin (1994), 1-130.
2. ARNOLD, D.N., WENDLAND, W.L. : On the asymptotic convergence of collocation methods; Math. Comp. 41 (1983), 349-381.
3. ATKINSON, K. : A survey of boundary integral equation methods for the numerical solution of Laplace's equation in three dimensions; In: Numerical Solution of Integral Equations (M. Golberg ed.), Plenum Press New York 1990.
4. AZIZ, K., HAN, H., SCHNEIDER, M. : A finite element method for a boundary value problem of mixed type. Numer. Math. 44 (1984), 191-200.
5. CAI, Z., LAZAROV, R.D., MANTEUFFEL, T., McCORMICK, S. : First-order system least squares for partial differential equations; Part I, SIAM J. Numer. Anal. 31 (1994); Part II, to appear.
6. CHANG, C.L. : Finite element approximation for grad-div type systems in the plane; SIAM J. Numer. Anal. 29 (1992), 452-461.
7. CHEN, T.F. : On least-squares approximations to compressible flow problems; Numer. Meth. PDE's 2 (1986), 207-228.
8. CIARLET, P.G. : The Finite Element Method for Elliptic Problems; North-Holland, Amsterdam 1978.
9. COSTABEL, M. : Boundary integral operators for the heat equation; Integral Equations & Operator Theory 13 (1990), 498-552.
10. DAHMEN, S., PROSSDORF, S., SCHNEIDER, R. : Wavelet approximation methods for pseudodifferential equations II: Matrix compression and fast solution; Advances Comp. Math. 1 (1993), 259-335.
11. FRIEDRICHS, K.O. : Symmetric positiv linear differential equations; Comm. Pure and Appl. Math. 11 (1958), 333-418.
12. HARTMANN, F. : Static analysis of plates. In: Boundary Element Analysis of Plates and Shells. (Beskos, D. ed.), Springer-Verlag Berlin (1991), 1-34.
13. HORMANDER, L., : Pseudo-differential operators and non-elliptic boundary problems: Ann. of Math. 83 (1966), 129-209.
14. HSIAO, G.C., SARANEN, J. : Boundary integral solution of the two-dimensional heat equation; Math. Meth. Appl. Sci. 16 (1993), 87-114.
15. HSIAO, G.C., WENDLAND, W.L. : A finite element method for some integral equations of the first kind; J. Math. Anal. Appl. 58 (1977), 449-481.
16. HSIAO, G.C., WENDLAND, W.L. : The Aubin-Nitsche lemma for integral equations; J. Integral Equations 3 (1981) 299-315.
17. McLEAN, W., PROSSDORF, S. : Boundary element collocation methods using splines with multiple knots; Numer. Math., to appear.
18. MICHLIN, S.G. : Variationsmethoden der Mathematischen Physik; Akademie Verlag, Berlin 1962.
19. 3; RAIRO Anal. Numer. 7 (1973), 105-129.
20. PRÖSSDORF, S., RATHSFELD, A. : On strongly elliptic singular integral operators with piecewise continuous coefficients; Integral Equations & Operator Theory 8 (1985), 825-841.
21. PRÖSSDORF, S., SILBERMANN, B. : Numerical Analysis for Integral and Related Operator Equations; Birkhäuser-Verlag, Basel 1991.
22. ROCH, S., SILBERMANN, B. : C*-algebra techniques in numerical analysis; (Preprint TU Chemnitz-Zwickau 1994), to appear.
23. SCHATZ, A. : An observation concerning Ritz-Galerkin methods with indefinite bilinear forms; Math. Comp. 28 (1974), 959-962.
24. WENDLAND, W.L. : Elliptic Systems in the Plane; Pitman, London 1979.
25. WENDLAND, W.L. : Strongly elliptic boundary integral equations. In: The State of Art in Numerical Analysis (Iserles, A., Powell, M.J.D., eds.), Clarendon Press, Oxford (1987), 511-561.
26. WENDLAND, W.L. : Numerical methods for boundary value problems of elliptic systems in the plane; In: Complex Analysis (Lanckau, E., Tutschke, W. eds.), Akademie-Verlag, Berlin (1983), 249-269.