Diodový detektor s filtrem
Dioptrika se stanoviska vyšší geometrie [I.]
Dioptrika se stanoviska vyšší geometrie [II.]
Dioptrika se stanoviska vyšší geometrie [III.]
Direct current electric potential in an anisotropic half-space with vertical contact containing a conductive 3D body.
Discrete compactness for a discontinuous Galerkin approximation of Maxwell's system
In this paper we prove the discrete compactness property for a discontinuous Galerkin approximation of Maxwell's system on quite general tetrahedral meshes. As a consequence, a discrete Friedrichs inequality is obtained and the convergence of the discrete eigenvalues to the continuous ones is deduced using the theory of collectively compact operators. Some numerical experiments confirm the theoretical predictions.
Distinguished Riemann-Hamilton geometry in the polymomentum electrodynamics
In this paper we develop the distinguished (d-) Riemannian differential geometry (in the sense of d-connections, d-torsions, d-curvatures and some geometrical Maxwell-like and Einstein-like equations) for the polymomentum Hamiltonian which governs the multi-time electrodynamics.
Div-curl lemma revisited: Applications in electromagnetism
Two new time-dependent versions of div-curl results in a bounded domain are presented. We study a limit of the product , where the sequences and belong to . In Theorem 2.1 we assume that is bounded in the -norm and is controlled in the -norm. In Theorem 2.2 we suppose that is bounded in the -norm and is controlled in the -norm. The time derivative of is bounded in both cases in the norm of . The convergence (in the sense of distributions) of to the product of weak limits...
Domain decomposition algorithms for time-harmonic Maxwell equations with damping
Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.
Domain Decomposition Algorithms for Time-Harmonic Maxwell Equations with Damping
Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.
Důkaz vzorce pro zrcadla
Dynamical analysis of an interleaved single inductor TITO switching regulator.
EasyMSG : tools and techniques for an adaptive overlapping in SPMD programming
During the development of a parallel solver for Maxwell equations by integral formulations and Fast Multipole Method (FMM), we needed to optimize a critical part including a lot of communications and computations. Generally, many parallel programs need to communicate, but choosing explicitly the way and the instant may decrease the efficiency of the overall program. So, the overlapping of computations and communications may be a way to reduce this drawback. We will see a implementation of this techniques...
EasyMSG: Tools and techniques for an adaptive overlapping in SPMD programming
During the development of a parallel solver for Maxwell equations by integral formulations and Fast Multipole Method (FMM), we needed to optimize a critical part including a lot of communications and computations. Generally, many parallel programs need to communicate, but choosing explicitly the way and the instant may decrease the efficiency of the overall program. So, the overlapping of computations and communications may be a way to reduce this drawback. We will see a implementation of this...
Edge finite elements for the approximation of Maxwell resolvent operator
In this paper we consider the Maxwell resolvent operator and its finite element approximation. In this framework it is natural the use of the edge element spaces and to impose the divergence constraint in a weak sense with the introduction of a Lagrange multiplier, following an idea by Kikuchi [14]. We shall review some of the known properties for edge element approximations and prove some new result. In particular we shall prove a uniform convergence in the norm for the sequence of discrete operators....
Edge finite elements for the approximation of Maxwell resolvent operator
In this paper we consider the Maxwell resolvent operator and its finite element approximation. In this framework it is natural the use of the edge element spaces and to impose the divergence constraint in a weak sense with the introduction of a Lagrange multiplier, following an idea by Kikuchi [14]. We shall review some of the known properties for edge element approximations and prove some new result. In particular we shall prove a uniform convergence in the L2 norm for the sequence of discrete...
Effect of Electrostriction on the Self-organization of Porous Nanostructures in Anodized Aluminum Oxide
The self-organization of porous nanostructures in anodic metal oxide is considered. A mathematical model which incorporates the chemical reactions at the metal-oxide and oxide-electrolyte interfaces and elastic stress caused by the electrostrictive effects is developed. It is shown through linear stability analysis, that a short-wave instability exists in certain parameter regimes which can lead to the formation of hexagonally ordered pores observed in anodized aluminum oxide.
Ein Beitrag zur Theorie der Beugungserscheinungen
Electromagnetic dynamical systems.
Electromagnetic field in nonlinear media.