SimPEG.electromagnetics.time_domain.Simulation3DMagneticField#

class SimPEG.electromagnetics.time_domain.Simulation3DMagneticField(mesh, survey=None, dt_threshold=1e-08, **kwargs)[source]#

Solve the H-J formulation of Maxwell’s equations for the magnetic field h.

We start with Maxwell’s equations in terms of the magnetic field and current density

\[\nabla \times \rho \mathbf{j} + \mu \frac{\partial h}{\partial t} = \mathbf{s_m} \ \nabla \times \mathbf{h} - \mathbf{j} = \mathbf{s_e}\]

and eliminate \(\mathbf{j}\) using

\[\mathbf{j} = \nabla \times \mathbf{h} - \mathbf{s_e}\]

giving

\[\nabla \times \rho \nabla \times \mathbf{h} + \mu \frac{\partial h}{\partial t} = \nabla \times \rho \mathbf{s_e} + \mathbf{s_m}\]

Methods

`Fields_Derivs`	alias of `FieldsDerivativesHJ`
`fieldsPair`	alias of `Fields3DMagneticField`
`getAdiag`(tInd)	System matrix at a given time index