Sinha, R. K. ; Pani, A. K. (1998) The effect of spatial quadrature on finite element galerkin approximations to hyperbolic integro-differential equations Numerical Functional Analysis and Optimization, 19 (9-0). pp. 1129-1153. ISSN 0163-0563
Full text not available from this repository.
Official URL: http://www.tandfonline.com/doi/abs/10.1080/0163056...
Related URL: http://dx.doi.org/10.1080/01630569808816876
Abstract
The purpose of this paper is to study the effect of numerical quadrature on the finite element approximations to the solutions of hyperbolic intego-differential equations. Both semidiscrete and fully discrete schemes are analyzed and optimal estimates are derived in L∞(H1)L∞(L2) norms and quasi-optimal estimate in L∞(L∞) norm using energy arguments. Further, optimal L(L2)-estimates are shown to hold with minimal smoothness assumptions on the initial functions. The analysis in the present paper not only improves upon the earlier results of Baker and Dougalis [SIAM J. Numer. Anal. 13 (1976), pp. 577-598] but also confirms the minimum smoothness assumptions of Rauch [SIAM J. Numer. Anal. 22 (1985), pp. 245-249] for purely second order hyperbolic equation with quadrature.
Item Type: | Article |
---|---|
Source: | Copyright of this article belongs to Taylor and Francis Group. |
ID Code: | 81970 |
Deposited On: | 09 Feb 2012 04:42 |
Last Modified: | 09 Feb 2012 04:42 |
Repository Staff Only: item control page