# TR-2011-04

## A New Symmetric Error Estimate for a Discrete-time Moving Mesh Method

Todd F Dupont; Itir Mogultay. 19 September, 2011.

Communicated by Todd Dupont.

### Abstract

In this paper, we generalize one part of the work of Bank and Santos
[SIAM J Numer. Anal., 30 (1993), pp. 1-18]
to the case of theta-weighted time discretizations.
Their result is a symmetric error estimate (SEE) for
backward Euler for parabolic equations on a moving mesh.
Our results are given for the convective derivative formulation of
Dupont-Liu
[SIAM J Numer. Anal., 40 (2002), pp. 914-927].
A particular case of the result here is that there is a SEE
for the trapezoidal rule time discretization for
parabolic Galerkin methods over moving meshes.

### Original Document

The original document is available in PDF (uploaded 19 September, 2011 by
Todd Dupont).