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Numerical solution of nonlinear quasi‐stationary magnetic fields
Author(s) -
Melkes Frantis̃ek,
Zlámal Milos̋
Publication year - 1983
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620190709
Subject(s) - discretization , galerkin method , nonlinear system , mathematics , finite element method , mathematical analysis , numerical analysis , magnetic field , newton's method , physics , quantum mechanics , thermodynamics
The problem of quasi‐stationary nonlinear magnetic fields is formulated in a variational form. A Galerkin finite element solution is constructed. Discretization in time is carried out by means of one‐ and two‐step linear A ‐stable schemes. The resulting system of nonlinear equations is solved by Newton's method. A numerical example is given.