Publication Results

Code: 51/2014
Title: A priori anisotropic mesh adaptation on implicitly defined surfaces
Date: Tuesday 11th November 2014
Author(s) : Dassi, F.; Perotto, S.; Formaggia, L.
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Abstract: Mesh adaptation on surfaces demands particular care due to the important role played by the fitting of the surface. We propose an adaptive procedure based on a new error analysis which combines a rigorous anisotropic estimator for the L1 -norm of the interpolation error with an anisotropic and more heuristic control of the geometric error. We resort to a metric-based adaptive algorithm which employs local operations to modify the initial mesh according to the information provided by the error analysis. An extensive numerical validation corroborates the robustness of the error analysis as well as of the adaptive procedure.