Debrabant, K. and Lang, J. (2007) On Global Error Estimation and Control for Parabolic Equations, Report No. 2512. Appl. Num. Math. . (Submitted)
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Official URL: http://www.mathematik.tu-darmstadt.de/fbereiche/nu...
Abstract
The aim of this paper is to extend the global error estimation and control addressed in Lang and Verver [SIAM J. Sci. Comput., 2007] for initial value problems to parabolic partial differential equations. The classical ODE approach based on the first variational equation is combined with an estimation for the PDE spatial truncation error to estimate the overall error in the computed solution. Control is achieved through tolerance proportionality and uniform mesh refinement. Numerical examples are used to illustrate the reliability of the estimation and control strategies.
| Item Type: | Article |
|---|---|
| Additional Information: | Technische Universität Darmstadt, Fachbereich Mathematik |
| ID Code: | 964 |
| Deposited By: | Ulrike Eickers |
| Deposited On: | 20 Oct 2010 09:15 |
| Last Modified: | 20 Oct 2010 09:15 |
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