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Continuous mesh framework. II: Validations and applications. (English)
SIAM J. Numer. Anal. 49, No. 1, 61-86 (2011).
This paper first carries out numerical experiments in two and three dimensions to validate the continuous mesh framework introduced in Part I [ibid. 49, No.~1, 38‒60 (2011; Zbl 1230.65018)]. Then the problem of finding the optimal continuous mesh minimizing the $L^p$-norm of the continuous interpolation error is solved by calculus of variations. Numerical simulations and comparisons with experiments show the accuracy and efficiency of this model for anisotropic mesh adaptation.
Reviewer: Aurelian Bejancu (Safat)
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