Optimization in meshing and convergence for Finite Element Method in
electromagnetism and high field gradient computation.
Optimization in meshing and convergence for Finite Element
Method in electromagnetism and high field gradient computation.
University of Technology of Troyes,
12 rue Marie Curie - BP 2060 - F-10010 Troyes cedex , France
An accurate computation of high field enhancement is a key factor for
the optimization of nano/microstructures in plasmonics or optics.
Development of algorithms in order to increase the accuracy of the computation
in eletromagnetic and optimization of remeshing process applied in
nanotechnology, fluid dynamics,..
Results and prospects
An accurate computation of field enhancement in the vicinity of metallic
structures is fundamental for the prediction of different physical
phenomena such as SERS or fluorescence, and also for the design of
nanostructures for specific applications.
Several numerical models have been developed and are used to compute the
Nevertheless, its evaluation can be very tedious and boring due to the plasmon
resonance increasing the intensity level, and to the discontinuity of the
field near the material edges.
In order to propose solutions to control the accuracy in the compuation field
enhancement, we develop an improved adaptive mesh process that allows
the accurate control of the numerical solution of interest derived from
the solution of the partial defirential equation.
This new adaptive mesh process is based on the a posteriori error
indicator estimation on the physical solution.
Such an adaptive meshing, in connexion with the Finite Element Method is
applied to compute phenomenon involving high
field gradients in near-field (electric intensity, Poynting's vector,
This new procedure accelerates drastically the convergence of the solution
and minimizes both the memory requirement and the computational time.
© Copyright 2007-2012 Thomas Grosges.