We study a spatially semidiscrete and a completely discrete finite element model for a nonlinear system consisting of an elliptic and a parabolic partial differential equation describing the electric heating of a conducting body. We prove error bounds of optimal order under minimal regularity assumptions when the number of spatial variables d < 3. We establish the existence of solutions with th...

The efficiency of ground-based antennas is highly determined by the power dissipated in the ground plane, which can be separated into H-field and E-field losses. In this paper, a new approach is presented for the separation of ground losses that is based on Joule's law. It is theoretically valid at any frequency. Nevertheless, some simplifications can be applied in the lowand medium-frequency b...

The influence of thermal and electrical conductivities and relative density on the dynamics of self-sustaining reactions activated by an electric field was investigated by modeling. Under a given field, the variation of the wave velocity and maximum temperature with normalized electrical and thermal conductivities and density exhibited a maximum at an optimum value of each of the three paramete...

This paper proposes a thermal study of the catenary/pantograph interface for a train in motion. A 2.5D complex model of the pantograph strip has been defined and created by a coupling between a 1D and a 2D model. Experimental and simulation results are presented and with a comparison allow validating the 2.5D model. Some physical phenomena are described and presented with the help of the model ...

Simultaneous heat and mass transfer in unsteady free convection flow with thermal radiation and thermal diffusion past an impulsively started infinite vertical porous plate subjected to a strong magnetic field is presented. The dimensionless governing equations for this investigation are solved analytically using two terms harmonic and non-harmonic functions. The influence of various parameters...

Dielectrophoresis can be used to trap and position bioparticles such as biological cells efficiently and successfully in BioMEMS devices. This paper presents a computational model to simulate this process. In particular, the model will solve for electric potential distribution, bioparticle movement in a Lagrangian frame, Joule heating, and medium flow due to electrothermal effects. As an illust...

Magnetic reconnection is the crucial process in the release of magnetic energy previously stored in the magnetotail in association with substorms. However, energy transfer and dissipation in the vicinity of the reconnection site is only a minor part of the energy conversion. We discuss the energy release, transport, and conversion based on largescale resistive MHD simulations of magnetotail dyn...

Nonlinear devices, such as transistors, enable contemporary computing technologies. We theoretically investigate nonlinear effects, bearing a high fundamental scientific and technical relevance, in magnonics with emphasis on superconductor-ferromagnet hybrids. Accounting for finite magnon chemical potential, we demonstrate magnonic spin Joule heating, the analog of conventional electronic heati...