Title :
hp-version adaptive analysis of nonlinear magnetic fields with quadrilaterals
Author :
Zhou, J.M. ; Shao, K.R. ; Ren
Author_Institution :
Dept. of Electr. Eng., Huazhong Univ. of Sci. & Technol., Hubei, China
fDate :
5/1/1995 12:00:00 AM
Abstract :
Making use of the author´s Delaunay based automatic quadrilateral mesh generator and the Zienkiewicz-Zhu error estimator, a prescribed accuracy can be achieved within one, at most two h-refinement stages with optimal convergence rate. Uniform increase of the element interpolation order p on the h-refined mesh reaches simple and rapid solution improvement
Keywords :
convergence of numerical methods; interpolation; magnetic fields; mesh generation; Delaunay based automatic quadrilateral mesh generator; Zienkiewicz-Zhu error estimator; element interpolation order; h-refinement stages; hp-version adaptive analysis; nonlinear magnetic fields; optimal convergence rate; quadrilaterals; Algorithm design and analysis; Computational efficiency; Error analysis; Extrapolation; Finite element methods; Interpolation; Magnetic analysis; Mesh generation; Nonlinear magnetics; Robustness;
Journal_Title :
Magnetics, IEEE Transactions on
