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Nummer 2512
Autor Debrabant, Kristian
Lang, Jens
Titel On Global Error Estimation and Control for Parabolic Equations
Upload 9.5.2007
MSC 65M15
65M06
65M20
65M60
ZDM N40
CR G.1.7,G.1.8
PACS 02.60.-x
Schlüsselwörter Numerical integration for PDEs, global error estimation, global error control, defects and local errors, tolerance proportionality

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.

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Verantwortliche Autorin: Anke Meier-Dörnberg

 


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