The boundary-value problem for the transport equation with purely Compton scattering.
The change in electric potential due to lightning
The change in the electric potential due to lightning is evaluated. The potential along the lightning channel is a constant which is the projection of the pre-flash potential along a piecewise harmonic eigenfunction which is constant along the lightning channel. The change in the potential outside the lightning channel is a harmonic function whose boundary conditions are expressed in terms of the pre-flash potential and the post-flash potential along the lightning channel. The expression for the...
The complete ellipsoidal shell-model in EEG imaging.
The Dirac Equation with an Anomalous Magnetic Moment.
The discrete compactness property for anisotropic edge elements on polyhedral domains
We prove the discrete compactness property of the edge elements of any order on a class of anisotropically refined meshes on polyhedral domains. The meshes, made up of tetrahedra, have been introduced in [Th. Apel and S. Nicaise, Math. Meth. Appl. Sci. 21 (1998) 519–549]. They are appropriately graded near singular corners and edges of the polyhedron.
The discrete compactness property for anisotropic edge elements on polyhedral domains∗
We prove the discrete compactness property of the edge elements of any order on a class of anisotropically refined meshes on polyhedral domains. The meshes, made up of tetrahedra, have been introduced in [Th. Apel and S. Nicaise, Math. Meth. Appl. Sci. 21 (1998) 519–549]. They are appropriately graded near singular corners and edges of the polyhedron.
The dynamics of a levitated cylindrical permanent magnet above a superconductor.
When a permanent magnet is released above a superconductor, it is levitated. This is due to the Meissner-effect, i.e. the repulsion of external magnetic fields within the superconductor. In experiments, an interesting behavior of the levitated magnet can be observed: it might start to oscillate with increasing amplitude and some magnets even reach a continuous rotation. In this paper we develop a mathematical model for this effect and identify by analytical methods as well with finite element simulations...
The eddy current problem with temperature dependent permeability.
The effect of radiation on the stochastic web.
The effect of thin coatings on second harmonic generation.
The Fermi surface for the discretized Maxwell equations
The Finite Element Method with Non-Uniform Mesh Sizes Applied to the Exterior Helmholtz Problem.
The geometry of autonomous metrical multi-time Lagrange space of electrodynamics.
The magnetic geodesic flow in a homogeneous field on the complex projective space.
The Maxwell equation in a periodic medium : homogenization of the energy density
The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation.
The polarization in a ferroelectric thin film: local and nonlocal limit problems
In this paper, starting from classical non-convex and nonlocal 3D-variational model of the electric polarization in a ferroelectric material, via an asymptotic process we obtain a rigorous 2D-variational model for a thin film. Depending on the initial boundary conditions, the limit problem can be either nonlocal or local.
The potential distribution due to a dipole source in the fetal heart: A numerical model of the maternal abdomen.
The problem of scattering by a mixture of cracks and obstacles.
The RCWA method - A case study with open questions and perspectives of algebraic computations.