Mesh adaptation on surfaces demands particular care due to the important role played by the surface fitting. 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 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.

Dassi, F., Perotto, S., Formaggia, L. (2015). A priori anisotropic mesh adaptation on implicitly defined surfaces. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 37(6), A2758-A2782 [10.1137/140995246].

A priori anisotropic mesh adaptation on implicitly defined surfaces

DASSI, FRANCO
Primo
;
2015

Abstract

Mesh adaptation on surfaces demands particular care due to the important role played by the surface fitting. 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 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.
Articolo in rivista - Articolo scientifico
Anisotropic interpolation error estimates; Finite elements on surfaces; Metric-based mesh adaptation;
Anisotropic interpolation error estimates; Finite elements on surfaces; Metric-based mesh adaptation
English
A2758
A2782
25
Dassi, F., Perotto, S., Formaggia, L. (2015). A priori anisotropic mesh adaptation on implicitly defined surfaces. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 37(6), A2758-A2782 [10.1137/140995246].
Dassi, F; Perotto, S; Formaggia, L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/143144
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