A Simple Anisotropic Mesh-Refinement Strategy for Triangular Elements in 2D | Zendy

Fredrik Larsson | Zendy

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A Simple Anisotropic Mesh-Refinement Strategy for Triangular Elements in 2D

Author(s) -

Fredrik Larsson

Publication year - 2012

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2012/134097

Subject(s) - finite element method , simple (philosophy) , a priori and a posteriori , adaptive mesh refinement , enhanced data rates for gsm evolution , computer science , algorithm , anisotropy , dual (grammatical number) , mathematical optimization , element (criminal law) , mathematics , mesh generation , computational science , artificial intelligence , structural engineering , physics , art , philosophy , literature , epistemology , quantum mechanics , law , political science , engineering

A novel approach to anisotropic mesh-refinement of linear triangular elements in the finite element method is proposed. Using the method of solving a hierarchically refined dual problem in the a posteriori error analysis, indicators for edge refinement, rather than element refinement, can be obtained. A complete adaptive strategy is presented and illustrated by some numerical examples.

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