Volume 4, Issue 3
An Experimental Study of Several Multidimensional, Locally Conservative, Eulerian-Lagrangian Finite

Zichen Deng

Int. J. Numer. Anal. Mod. B, 4 (2013), pp. 299-314

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  • Abstract

This paper is an experimental continuation of [7], where we presented one realization of a locally-conservative Eulerian-Lagrangian finite element method (LCELM) for a semilinear parabolic equation and proved an optimal convergence rate. In this paper, we present two higher- order extensions of the method of [7], along with one lower-order procedure. We show some numerical results to illustrate the accuracy and efficiency of the LCELM procedures. Optimal convergence rates for each method will be presented.

  • History

Published online: 2013-04

  • AMS Subject Headings

65M12, 65M25, 76S05

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