Title :
Flexible Approximation Schemes With Adaptive Grid Refinement
Author :
Dai, Jianhua ; Tsukerman, Igor
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Akron, Akron, OH
fDate :
6/1/2008 12:00:00 AM
Abstract :
The numerical accuracy of the recently developed flexible local approximation method (FLAME)-a generalized finite-difference technique-is improved by adaptive grid refinement. A natural error indicator in FLAME is the discrepancy between the numerical solution over two overlapping ldquopatchesrdquo (subdomains carrying local analytical approximations of the solution). Electrostatic problems and wave scattering by dielectric particles are used as examples of the substantial accuracy improvement.
Keywords :
electrostatics; finite difference methods; FLAME technique; adaptive grid refinement; dielectric particles; electrostatic problems; finite difference technique; flexible approximation schemes; flexible local approximation method; wave scattering; Adaptive grid refinement; difference schemes; electrostatics; error indicator; flexible approximation; multiparticle problems; wave scattering;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.916367
