The stability in Ws,p (Γ) spaces of L2- projections on some convex sets

Numerical Functional Analysis and Optimization

Volumn 27, Issue 2, 2006, Pages 117-137

  Casas, Eduardo ^a   Raymond, J P ^b  

^a UNIVERSITY OF CANTABRIA   (Spain)

^b INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

Numerical approximation; Optimal control; Projection on a convex set; Stability estimates

Indexed keywords

APPROXIMATION THEORY; ESTIMATION; FUNCTIONS; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

NUMERICAL APPROXIMATION; OPTIMAL CONTROL; PROJECTION ON A CONVEX SET; STABILITY ESTIMATES;

SET THEORY;

EID: 33645774837     PISSN: 01630563     EISSN: 15322467     Source Type: Journal    
DOI: 10.1080/01630560600569940     Document Type: Article

References (6)

1. S.C. Brenner and L.R. Scott (1994). The Mathematical Theory of Finite Element Methods. Springer-Verlag;, New York, Berlin, Heidelberg.
2. E. Casas and J.-P. Raymond (2005). Error estimates for the numerical approximation of Dirichlet boundary control for semilinear elliptic equations, (submitted).
3. 2-projection onto finite element function spaces. Math. Camp. 48:521-532.
4. 2 projection into finite element function spaces. Numer. Math. 23:193-197.
5. 2 projection in fractional Sobolev spaces. Numer. Math. 88:367-379.
6. 2 projection and some related stability estimates in Sobolev spaces. Numer. Math. 90:775-786.