Optimal approximability of solutions of singularly perturbed two-point boundary value problems

SIAM Journal on Numerical Analysis

Volumn 34, Issue 5, 1997, Pages 1808-1816

  Bruce Kellogg, R ^a,b   Stynes, Martin ^a,b  

^a UNIVERSITY OF MARYLAND   (United States)

^b UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

Convection diffusion; Differential equation; n width; Reaction diffusion; Singularly perturbed

Indexed keywords

EID: 0000257742     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036142995290269     Document Type: Article

References (4)

1. D. CHENAIS AND M. ZERNER, Necessary conditions to avoid numerical locking in singular perturbations. Application to arch problems, Comp. Meth. Appl. Mech. Engrg., 115 (1994), pp. 145-163.
2. G. G. LORENTZ, Approximation of Functions, 2nd ed., Chelsea, New York, 1986.
3. A. PINKUS, n-Widths in Approximation Theory, Springer-Verlag, Berlin, 1985.
4. G. SUN AND M. STYNES, Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems I: Reaction-diffusion-type problems, IMA J. Numer. Anal., 15 (1995), pp. 117-139.