Ueber Anwendungen der Differntialgleichung ... = a2 ... Auf Akustik und Optik, bei Variation der Grenzbedingungen.
Ueber das Huyghens'sche Ocular.
Ueber das von Helmholtz vorgeschlagene Geset der electrodynamischen Wechselwirkung
Ueber die Bewegungsgleichungen der Elektricität für ruhende leitende Körper.
Ueber die Differentialgleichungen für Lichtschwingungen. Von A. Brill in Giessen.
Ueber die electromotorische Kraft dünner Gasschichten auf Metallplatten
Ueber die oscillirende Entladung einer Franklin'schen Tafel.
Ueber die Reflexion und Brechung des Lichtes an der Grenze unkrystallinischer Medien
Une analyse de la méthode des domaines fictifs pour le problème de Helmholtz extérieur
Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation
For the efficient numerical solution of indefinite linear systems arising from curl conforming edge element approximations of the time-harmonic Maxwell equation, we consider local multigrid methods (LMM) on adaptively refined meshes. The edge element discretization is done by the lowest order edge elements of Nédélec’s first family. The LMM features local hybrid Hiptmair smoothers of Jacobi and Gauss–Seidel type which are performed only on basis functions associated with newly created edges/nodal...
Uniform convergence of local multigrid methods for the time-harmonic Maxwell equation∗
For the efficient numerical solution of indefinite linear systems arising from curl conforming edge element approximations of the time-harmonic Maxwell equation, we consider local multigrid methods (LMM) on adaptively refined meshes. The edge element discretization is done by the lowest order edge elements of Nédélec’s first family. The LMM features local hybrid Hiptmair smoothers of Jacobi and Gauss–Seidel type which are performed only on basis functions associated with newly created edges/nodal...
Uniqueness for the two-dimensional semiconductor equations in case of high carrier densities.
Uniqueness of stable Meissner state solutions of the Chern-Simons-Higgs energy
For external magnetic field hex ≤ Cε–α, we prove that a Meissner state solution for the Chern-Simons-Higgs functional exists. Furthermore, if the solution is stable among all vortexless solutions, then it is unique.
Variational approach to dynamics of bright solitons in lossy optical fibers.
Vector Potential Theory on Nonsmooth Domains in R... and Applications to Electromagnetic Scattering.
Visualisation of the electromagnetic vector fields
Modern computer algebra software can be used to visualize vector fields. One of the most used is the Maple program. This program is used to visualize two and three-dimensional vector fields. The possibilities of plotting direction vectors, lines of force, equipotential curves and the method of colouring the surface area for two-dimensional cases are shown step by step. For three-dimensional arrays, these methods are applied to various slices of three-dimensional space, such as a plane or a cylindrical...
Vortex analysis of the periodic Ginzburg-Landau model
Waves of excitations in heterogeneous annular region, asymmetric arrangement
This paper deals with the propagation of waves around a circular obstacle. The medium is heterogeneous: the velocity is smaller in the inner region and greater in the outer region. The interface separating the two regions is also circular, and the obstacle is located eccentrically inside it. The different front portraits are classified.
Weakly nonlinear stability analysis of a thin magnetic fluid during spin coating.
Weighted regularization for composite materials in electromagnetism
In this paper, a weighted regularization method for the time-harmonic Maxwell equations with perfect conducting or impedance boundary condition in composite materials is presented. The computational domain Ω is the union of polygonal or polyhedral subdomains made of different materials. As a result, the electromagnetic field presents singularities near geometric singularities, which are the interior and exterior edges and corners. The variational formulation of the weighted regularized problem...