A counterexample to a result concerning controlled approximation1

Proceedings of the American Mathematical Society

Volumn 97, Issue 4, 1986, Pages 647-654

  Jia, Rong Qing ^a,b  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 9344244474     PISSN: 00029939     EISSN: 10886826     Source Type: Journal    
DOI: 10.1090/S0002-9939-1986-0845982-1     Document Type: Article

References (6)

1. C. De Boor and K. Hôllig, B-splines from parallelepipeds, J. Analyse Math. 42 (1983), 99-115.
2. R. Courant, Variational method for the solution of problems of equilibrium and vibrations, Bull. Amer. Math. Soc. 49 (1943), 1-33.
3. W. Dahmen and C. A. Micchelli, On the approximation order from certain multivariate spline spaces, J. Austral. Math. Soc. Ser. B 26 (1984), 233-246.
4. G. Fix and G. Strang, Fourier analysis of the finite element method in Ritz- Galerkin theory, Stud. Appl. Math. 48 (1969), 265-273.
5. G. Strang, The finite element method and approximation theory, Numerical Solution of Partial Differential Equations (B. Hubbard, ed.), SYNSPADE 1970, Univ. of Maryland, College Park, 1970, pp. 547-583.
6. G. Strang and G. Fix, A Fourier analysis of the finite element variational method, Constructive Aspects of Functional Analysis (G. Geymonat, ed.) (C.I.M.E. II, Ciclo Erice, 1971), 1973, pp. 793-840.