Title :
An a priori indicator of finite element quality based on the condition number of the stiffness matrix
Author :
Zgainski, François-Xavier ; Marécha, Yves ; Coulomb, Jean-Louis ; Vanti, Marcelo G. ; Raizer, Adroaldo
Author_Institution :
Lab. d´´Electrotech. de Grenoble, CNRS, St. Martin d´´Heres, France
fDate :
3/1/1997 12:00:00 AM
Abstract :
This paper presents a method for analysing the quality of a finite element problem. The finite element shape distortion and order of interpolation are linked to the conditioning of the stiffness matrix of the finite element linear system in order to define a good quality criterion. The study is carried out for standard first and second order elements. The proposed quality criterion works on every kind of finite element shape
Keywords :
finite element analysis; interpolation; linear systems; matrix algebra; condition number; finite element linear system; finite element quality; finite element shape distortion; first order elements; interpolation; second order elements; stiffness matrix; Eigenvalues and eigenfunctions; Equations; Finite element methods; Interpolation; Leg; Linear matrix inequalities; Linear systems; Mesh generation; Shape measurement; Symmetric matrices;
Journal_Title :
Magnetics, IEEE Transactions on
