Abstract

A method is presented to recover nearly optimal finite element meshes represented by mesh density functions described by a few parameters. The density representation of finite element meshes is part of a methodology for adaptive solution of linear or non-linear parameter dependent problems allowing easy optimization, storage, and comparison of meshes. This gives the possibility of easy prediction of meshes for future parameter values for parametrized problems. Asymptotical results showing the optimality of the recovered meshes are given, and computational examples show the validity of the results also for coarse meshes.

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