Optimal discretization based refinement criteria for finite element adaption

IEEE Transactions on Magnetics

Volumn 32, Issue 3 PART 2, 1996, Pages 1357-1360

  McFee, Steve ^a   Giannacopoulos, D ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; DEGREES OF FREEDOM (MECHANICS); FEEDBACK CONTROL; GEOMETRY; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; POLYNOMIALS;

FEEDBACK CONTROL SYSTEM; HELMHOLTZ SYSTEMS; ITERATION; OPTIMAL DISCRETIZATION; REFINEMENT CRITERIA;

FINITE ELEMENT METHOD;

EID: 0030142055     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/20.497498     Document Type: Article

References (9)

1. D. Giannacopoulos and S. McFee, "Towards optimal h-p adaption near singularities in finite element electromagnetics", IEEE Trans. Magn. , Vol. 30(5), pp. 3523-3526, 1994.
2. P. Fernandes, P. Girdinio. P. Molfino. G. Molinari and M. Repetto, "A comparison of adaptive strategies for mesh refinement based on a posteriori local error estimation procedures", IEEE Trans. Magn. , V. ol. 26(2), pp. 795-798, 1990.
3. J.P. Webb and B. Forghani, "Adaptive improvement of magnetic fields using hierarchal tetrahedral finite elements", IEEE Trans. Magn. , Vol. 30(5), pp. 3511-3514, 1994.
4. K.C. Chellamuthu and N. Ida, "A Posteriori element by element local error estimation technique and 2D & 3D adaptive finite element mesh refinement", IEEE Trans. Magn. , Vol. 30(5), pp. 3527-3530, 1994.
5. [5j 1. Babuska and R. Rodriguez, "The problem of the selection of an a posteriori error indicator based on smoothcning techniques", Int. J. Num. Meth. Eng. , Vol. 36, pp. 539-567, 1993.
6. S. McFee, D. A. Lowther and J. P. Webb, "Forces in finite element magnetostatics using co-energy related estimation of field accuracy", Jour. Appl. Phys. , Vol. 63(8), pp. 3363-3365, 1988.
7. P.P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, 2nd Edition. Cambridge University Press, Cambridge 1990.
8. [81 S. McFee, J. P. Webb and D. A. Lowther, "A tunable volume integration method for force calculation in finite-element based computational magnetostatics", IEEE Trans. Magn. , Vol. 24(1), pp. 439-442, 1988.
9. S. McFee and J. P. Webb, "Adaptive finite element analysis of microwave and optical devices using hierarchal triangles", IEEE Trans. Magn. , Vol. 28(2), pp. 1708-1711, 1992.