Global superconvergence for blending surfaces by boundary penalty plus hybrid FEMs

Applied Numerical Mathematics

Volumn 39, Issue 1, 2001, Pages 61-85

  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 element; Biharmonic equation; Blending surfaces; Boundary hybrid techniques; Boundary penalty methods; Stability; Superconvergence

Indexed keywords

BOUNDARY CONDITIONS;

BLENDING SURFACES;

FINITE ELEMENT METHOD;

EID: 0035479771     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00053-8     Document Type: Article

References (17)

1. Basic error estimate for elliptic problems
2. Boundary penalty finite element methods for blending surfaces, I. Basic theory
3. Boundary penalty finite element methods for blending surfaces, II. Biharmonic equations
4. Boundary penalty finite element methods for blending surfaces, III. Superconvergence, stability and samples
5. New error estimates of bi-cubic Hermite finite element methods for bi-harmonic equations
6. Interpolated finite elements and global error recovery
7. Global superconvergence of Hermite bi-cubic element for biharmonic equation, Part 2
8. Uber ein Variationsprinzip zur Losung von Dirichlet problemen bei Verwendung von Teilraumen, die keinen Randbekingungen unterwofen sind
9. The superconvergent patch recovery and a posteriori error estimates, Parts I, II