A mixed face-edge finite element formulation for 3D magnetostatic problems
- 1 January 1998
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Magnetics
- Vol. 34 (5) , 2445-2448
- https://doi.org/10.1109/20.717562
Abstract
A mixed variational formulation for the solution of three dimensional magnetostatic problems, based on both the magnetic field H and the magnetic induction field B, has been developed. The approach is based upon the minimisation of the residual in the fulfilment of the constitutive relationship, imposing Maxwell's equations as constraints. A finite element discretisation has been realised by using face and edge elements to interpolate B and H, respectively, in order to guarantee the physical continuity properties. The mathematical formulation, its code development and computational results are presented and discussed in detaiKeywords
This publication has 10 references indexed in Scilit:
- Linear Algebra Methods in a Mixed Approximation of Magnetostatic ProblemsSIAM Journal on Scientific Computing, 1999
- Magnetostatic and magnetodynamic mixed formulations compared with conventional formulationsIEEE Transactions on Magnetics, 1997
- A novel field-based mixed formulation of magnetostaticsIEEE Transactions on Magnetics, 1996
- Iterative Solution MethodsPublished by Cambridge University Press (CUP) ,1994
- A Preconditioned Iterative Method for Saddlepoint ProblemsSIAM Journal on Matrix Analysis and Applications, 1992
- Mixed and Hybrid Finite Element MethodsPublished by Springer Nature ,1991
- An error‐based approach to complementary formulations of static field solutionsInternational Journal for Numerical Methods in Engineering, 1988
- A rationale for 'edge-elements' in 3-D fields computationsIEEE Transactions on Magnetics, 1988
- Mixed finite elements in ?3Numerische Mathematik, 1980
- On the use of the total scalar potential on the numerical solution of fields problems in electromagneticsInternational Journal for Numerical Methods in Engineering, 1979