Ampère-Maxwell circuital law is investigated and used to model the Earth as a series of stacked Faraday discs, which create the magnetoqua-sistatic field. A third new equation is constructed that relates gravity ...Ampère-Maxwell circuital law is investigated and used to model the Earth as a series of stacked Faraday discs, which create the magnetoqua-sistatic field. A third new equation is constructed that relates gravity to the very near field of the Earth. Naturally occurring low frequency electromagnetic waves are coursing the surface of the Earth and penetrating humans and other nonmagnetic bodies. Similarities of the new equation and Einstein’s general relativity equation are revealed with c4, being prominent. A propagation delay is correlated to the resonant LC circuit of the inner Earth.展开更多
This paper addresses fully space-time adaptive magnetic field computations. We describe an adaptive Whitney finite element method for solving the magnetoquasistatic formulation of Maxwell＇s equations on unstructured ...This paper addresses fully space-time adaptive magnetic field computations. We describe an adaptive Whitney finite element method for solving the magnetoquasistatic formulation of Maxwell＇s equations on unstructured 3D tetrahedral grids. Spatial mesh re- finement and coarsening are based on hierarchical error estimators especially designed for combining tetrahedral H（curl）-conforming edge elements in space with linearly implicit Rosenbrock methods in time. An embedding technique is applied to get efficiency in time through variable time steps. Finally, we present numerical results for the magnetic recording write head benchmark problem proposed by the Storage Research Consortium in Japan.展开更多
文摘Ampère-Maxwell circuital law is investigated and used to model the Earth as a series of stacked Faraday discs, which create the magnetoqua-sistatic field. A third new equation is constructed that relates gravity to the very near field of the Earth. Naturally occurring low frequency electromagnetic waves are coursing the surface of the Earth and penetrating humans and other nonmagnetic bodies. Similarities of the new equation and Einstein’s general relativity equation are revealed with c4, being prominent. A propagation delay is correlated to the resonant LC circuit of the inner Earth.
基金supported by the Deutsche Forschungsgemeinschaft(DFG)within the project"Space-time adaptive magnetic field computation"(grants CL143/3-1,CL143/3-2,LA1372/3-1,LA1372/3-2)
文摘This paper addresses fully space-time adaptive magnetic field computations. We describe an adaptive Whitney finite element method for solving the magnetoquasistatic formulation of Maxwell＇s equations on unstructured 3D tetrahedral grids. Spatial mesh re- finement and coarsening are based on hierarchical error estimators especially designed for combining tetrahedral H（curl）-conforming edge elements in space with linearly implicit Rosenbrock methods in time. An embedding technique is applied to get efficiency in time through variable time steps. Finally, we present numerical results for the magnetic recording write head benchmark problem proposed by the Storage Research Consortium in Japan.
