We have made test computations for the magnetostatics
problem (model 1) coupled with the diffusion problem for ferromagnetic particles inside the ferrofluid in the case of a linear dependence of the magnetisation law on the concentration, when the diffusion problem is analytically solvable, see .
Finite Element Computational Homogenization of Nonlinear Multiscale Materials in Magnetostatics
. IEEE Transactions on Magnetics, 2012, vol.
Part II is devoted mainly to steady electric current but does not consider displacement current [??] or the magnetostatic
fields produced by steady electric currents.
and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions, Math.
Moreover, since the sample is fairly long in the strain direction, the effect of magnetostatics
would be minimal.
Towards the development of a new theory having [A.sub.k] as the gauge field, we adopt an approach sometimes employed in magnetostatics
[3, see p.
He explains the action approach, including its relation to Maxwell's equation and Dirac fields, then examines continuous symmetries and conservation laws, magnetostatics
, multivalued fields in superfluids and superconductors, magnetic monopoles, electric charge confinement, multivalued mapping from ideal crystals to crystals with defects, defect melting, relativistic mechanics in curvilinear coordinates, torsion and curvature from defects and embedding, mutivalued mapping, field equations of gravitation, fields of integer spin, particles with half-integer spins, covariant conservation gravitation of spinning matter as a gauge theory, evanescent properties of torsion in gravity, the teleparallel theory of gravitation embedding, and emerging gravity.
FieldMagic from Intact Solutions LLC of Madison, Wis., is also a commercial meshfree solver that analyzes problems in heat transfer, electro--and magnetostatics
, plate vibration, and plane and thermal-plane stress, says that developer.
As for as magnetostatics
is concerned where E is constant we still have
Routh and Webb, in particular, devoted a great deal of time to ensuring that their charges understood the solution of the Laplace equation, since the concept of a potential could be deployed to solve problems relating to gravitational theory, thermodynamics, electrostatics, magnetostatics
and electromagnetism (Warwick 2003, p.
The result in magnetostatics
is that the net moment varies linearly in response to the external field; then, both are effectively zero for the isolated sample but proportional in a finite field.
The next three chapters cover vector analysis, electrostatics and magnetostatics
. The chapter on electrostatics encompasses Maxwell's equations for the time-varying case, which are then specialized to electrostatics and magnetostatics