Title :
New RPQ Formulae for the Numerical Differentiation of 3-D Finite Element solutions of Electromagnetic Problems
Author :
Coco, S. ; Laudani, A.
Author_Institution :
DIEES, Catania Univ.
Abstract :
In this paper we present new regular polyhedra quadrature (RPQ) formulae to compute more efficiently and accurately derivatives of 3-D FE solutions of electromagnetic problems. This new version of the RPQ formulae employ a reduced number of integration points leading not only to a drastic reduction of the computational effort but also to a substantial increase of accuracy. An accuracy test is presented in order to show the advantages of the new formulae, consisting of a remarkable enhancement of accuracy obtained with a reduced computational effort
Keywords :
differentiation; electromagnetism; finite element analysis; 3D finite element solutions; computational effort reduction; electromagnetic problems; numerical differentiation; regular polyhedra quadrature formula; Computational efficiency; Electromagnetic analysis; Finite element methods; Gaussian processes; Iron; Laplace equations; Lead; Performance evaluation; Poisson equations; Testing;
Conference_Titel :
Electromagnetic Field Computation, 2006 12th Biennial IEEE Conference on
Conference_Location :
Miami, FL
Print_ISBN :
1-4244-0320-0
DOI :
10.1109/CEFC-06.2006.1633196