Defect-based A-posteriori Error Estimation for Index-1 DAEs
نویسندگان
چکیده
A computationally efficient a posteriori error estimator is introduced and analyzed for collocation solutions to linear index-1 DAEs with properly stated leading term. The procedure is based on a modified defect correction principle, extending an established technique from the ODE context to the DAE case. We prove that the resulting error estimate is asymptotically correct, and illustrate the method by means of a numerical example. To keep the presentation reasonably self-contained, we also briefly review some arguments from the literature on DAEs concerning the decoupling of the problem and its discretization, which is essential for our analysis. Subject Classification (AMS) : 65L80, 65B05.
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تاریخ انتشار 2008