New error estimates of bi-cubic hermite finite element methods for biharmonic equations

Journal of Computational and Applied Mathematics

Volumn 142, Issue 2, 2002, Pages 251-285

  Li, Zi Cai ^a   Yan, Ningning ^b  

^a NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

Bi cubic hermite elements; Biharmonic equation; Global superconvergence

Indexed keywords

BOUNDARY CONDITIONS; ERROR ANALYSIS; HARMONIC ANALYSIS;

SUPERCONVERGENCE;

FINITE ELEMENT METHOD;

FINITE ELEMENT METHOD; MODELING ERROR;

EID: 0037095319     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00494-0     Document Type: Article

References (14)

1. Basic error estimate for elliptic problems
2. Superconvergence phenomenon in the finite element method arising from averaging gradients
3. On a global-superconvergence of the gradient of linear triangular elements
4. Global superconvergence for blending surfaces by boundary penalty plus hybrid FEMS for biharmonic equations
5. Global superconvergence of Hermite bi-cubic element for biharmonic equation
6. Analysis of material interface discontinuities and superconvergent fluxes in finite difference theory
7. Superconvergence of the gradient of Galerkin approximations for elliptic problems
8. Superconvergence analysis of approximate boundary-flux calculations
9. Local behavior in finite element method
10. Superconvergence recovery of gradients on subdomains from piecewise linear finite element approximations