Asymptotic properties of some triangulations of the sphere

Journal of Computational and Applied Mathematics

Volumn 211, Issue 1, 2008, Pages 11-22

  Boal, N ^a   Dominguez V ^b   Sayas, F J ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Quasi uniform triangulations; Spherical triangulations

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; PARAMETER ESTIMATION; SPHERES; TRIANGULATION;

ARBITRARY SPHERICAL TRIANGLES; FREDERICKSON SPHERICAL BARYCENTRIC COORDINATES; PIECEWISE SMOOTH MAPPINGS; QUASI UNIFORM TRIANGULATIONS; REFINEMENT PROCEDURES; SPHERICAL TRIANGULATIONS;

ASYMPTOTIC ANALYSIS;

EID: 35348995537     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.11.012     Document Type: Article

References (7)

1. Alfeld P., Neamtu M., and Schumaker L.L. Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Comput. Aided Geom. Design 13 (1996) 333-349
2. Baumgardner J.R., and Frederickson P.O. Icosahedral discretization of the two-sphere. SIAM J. Numer. Anal. 22 (1985) 1107-1115
3. N. Boal, F.-J. Sayas, Adaptive numerical integration on spherical triangles, in: M.C. López de Silanes, et al. (Eds.), Proceedings of VIII International Zaragoza-Pau Conference on Applied Mathematics and Statistics, Monografías Sem. Mat. G Galdeano, vol. 31, Universidad de Zaragoza, 2004, pp. 61-69.
4. Ciarlet P.G. The Finite Element Method for Elliptic Problems (1978), North-Holland, Amsterdam, New York
5. Coxeter H.S.M. Introduction to Geometry (1961), Wiley, New York
6. Floater M. One-to-one piecewise linear mappings over triangulations. Math. Comput. 72 (2003) 685-696
7. McLean W.L. Strongly Elliptic Systems and Boundary Integral Equations (2000), Cambridge Unviersity Press, Cambridge