A Galerkin method with spherical splines for the shallow water equations on a sphere: error analysis

Author:

Tregubov I.,Tran T.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference27 articles.

1. Alfeld, P., Neamtu, M., Schumaker, L.L.: Bernstein-Bézier polynomials on spheres and sphere-like surfaces. Comput. Aided Geom. Des. 13(4), 333–349 (1996)

2. Baramidze, V., Lai, M. J.: Error bounds for minimal energy interpolatory spherical splines. In: Approximation theory XI: Gatlinburg 2004, Mod. Methods Math., pp. 25–50. Nashboro Press, Brentwood (2005)

3. Baramidze, V., Lai, M. J.: Spherical spline solution to a PDE on the sphere. In: Wavelets and splines: Athens 2005, Mod. Methods Math., pp. 75–92. Nashboro Press, Brentwood (2006)

4. Chippada, S., Dawson, C.N., Martinez, M.L.: Finite element approximations to the system of shallow water equations, part ii: discrete-time a priori error estimates. SIAM J. Numer. Anal. 36(1), 226–250 (1998)

5. Chippada, S., Dawson, C.N., Martinez, M.L., Wheeler, M.F.: Finite element approximations to the system of shallow water equations i: continuous-time a priori error estimates. SIAM J. Numer. Anal. 35(2), 692–711 (1998)

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