Direct and Inverse Theorems of the Approximation of Functions by Algebraic Polynomials and Splines in the Norms of the Sobolev Space
-
Published:2022-06
Issue:6
Volume:66
Page:65-72
-
ISSN:1066-369X
-
Container-title:Russian Mathematics
-
language:en
-
Short-container-title:Russ Math.
Subject
General Mathematics
Reference14 articles.
1. D. Funaro, Polynomial Approximations of Differential Equations (Springer, Berlin, 1992). https://doi.org/10.1007/978-3-540-46783-0
2. Ch. Schwab, p- and hp- Finite Element Methods: Theory and Applications to Solid and Fluid Mechanics (Oxford Univ. Press, Oxford, 1999).
3. O. Widlund, “On best error bounds for approximation by piecewise polynomial functions,” Numer. Math. 27 (3), 327–338 (1977). https://doi.org/10.1007/BF01396181
4. I. Babuška, R. B. Kellogg, and J. Pitkäranta, “Direct and inverse error estimates for finite elements with mesh refinements,” Numer. Math. 33 (4), 447–471 (1979). https://doi.org/10.1007/BF01399326
5. M. R. Dorr, “The approximation theory for the p-version of the finite element method,” SIAM J. Numer. Anal. 21 (6), 1180–1207 (1984). https://doi.org/10.1137/0721073