Computational material modeling using advanced numerical techniques speeds up the design process and reduces costs of developing new engineering products. In field multiscale modeling, huge computation efforts are expected for heterogeneous materials while trying to reach high accuracy levels. this work, a machine learning approach, namely convolutional neural network (CNN), is developed as sol...

We solve exactly the problem of calculating the electromagnetic fields produced by a finite wire with a constant current, by using two methods: retarded potentials and Jefimenko’s formalism. One result in this particular case is that the usual Biot–Savart law of magnetostatics gives the correct magnetic field of the problem. We also show graphically the corresponding Poynting vector.

In this paper a brief discussion of h-type volume integra l formulat ions implemented in GFUNET/CORAL code is given and solutions of TEAM benchmark #13 are shown. GFUNET/CORAL is a general purpose code for 2D and 3D magnetostatics. Solutions of TEAM problem #13 are computed using both a sequential and parallel version of GFUNET/CORAL.

Magnetostatics defines a class of boundary value problems in which the topology domain plays subtle role. For example, representability divergence-free field as curl vector potential comes about because homological considerations. With this mind, we study gauge freedom magnetostatics and its effect on comparison between magnetic configurations through key quantities such helicity. this, apply H...

Abstract In this contribution we propose an efficient and simple finite-element procedure for the approximation of open boundary problems applications in magnetostatics. these problems, interaction solid with external space plays a crucial role because magnetic stray fields that arise. For purpose, infinite region under consideration is approximated by sufficiently large domain. This then divid...

Abstract In formulating the Maxwell equations for electrodynamics in the presence of a macroscopic continuous medium, it is common among standard textbooks to simply borrow expressions for the polarization charges and magnetization currents derived in electrostatics and magnetostatics, without much explicit justifications for using them in electrodynamics. Here we emphasize that these quantitie...