hp Optimization of finite element approximations: Analysis of the optimal mesh sequences in one dimension

Computer Methods in Applied Mechanics and Engineering

Volumn 150, Issue 1-4, 1997, Pages 89-108

  Babuska I ^a   Strouboulis, T ^b   Copps, K ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b Texas AandM University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DEGREES OF FREEDOM (MECHANICS); ERROR ANALYSIS; FINITE ELEMENT METHOD; OPTIMIZATION; PROBLEM SOLVING;

OPTIMAL HP MESHES;

COMPUTATIONAL GEOMETRY;

EID: 0031377805     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00100-X     Document Type: Article

References (4)

1. W. Gui and I. Babuška, The h, p, and h-p versions of the finite element method in 1 dimension, Parts I and II, Numer. Math. 49 (1986) 577-657; and Part III, 49 (1986) 659-683.
2. W. Gui and I. Babuška, The h, p, and h-p versions of the finite element method in 1 dimension, Parts I and II, Numer. Math. 49 (1986) 577-657; and Part III, 49 (1986) 659-683.
3. W. Rachowicz, J.T. Oden and L. Demkowicz, Toward a universal h-p adaptive finite element strategy Part 3. Design of h-p meshes, Comput. Methods Appl. Mech. Engrg. 77 (1989) 181-212.
4. I. Babuška and M. Vogelius, Feedback and adaptive finite element solution of one-dimensional boundary value problems, Numer. Math. 44 (1984) 75-102.