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New adaptive mesh development for accurate near‐field enhancement computation
Author(s) -
GROSGES T.,
BOROUCHAKI H.,
BARCHIESI D.
Publication year - 2008
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.2008.01903.x
Subject(s) - polygon mesh , computation , finite element method , computer science , a priori and a posteriori , convergence (economics) , cartesian coordinate system , computational science , mathematical optimization , adaptive mesh refinement , algorithm , field (mathematics) , process (computing) , key (lock) , mesh generation , mathematics , physics , geometry , philosophy , computer graphics (images) , epistemology , computer security , pure mathematics , economics , thermodynamics , economic growth , operating system
Summary An accurate computation of the near‐field enhancement is a key factor for the optimization of nanostructures in plasmonics. This problem has been addressed for Green's dyadic method but remains open for finite element method (FEM) where the use of non‐Cartesian meshes is known to be the most efficient. We present a new adaptive mesh process based on the a posteriori error indicator estimation on the physical solution. This new procedure accelerates drastically the convergence of the solution and minimizes both the memory requirement and the computational time.