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Displaying 41 – 60 of 157

Div-curl lemma revisited: Applications in electromagnetism

Marián Slodička, Ján Jr. Buša (2010)

Kybernetika

Two new time-dependent versions of div-curl results in a bounded domain $Ω \subset ℝ^{3}$ are presented. We study a limit of the product $v_{k} w_{k}$ , where the sequences $v_{k}$ and $w_{k}$ belong to $Ł_{2} (Ω)$ . In Theorem 2.1 we assume that $\nabla \times v_{k}$ is bounded in the $L_{p}$ -norm and $\nabla \cdot w_{k}$ is controlled in the $L_{r}$ -norm. In Theorem 2.2 we suppose that $\nabla \times w_{k}$ is bounded in the $L_{p}$ -norm and $\nabla \cdot w_{k}$ is controlled in the $L_{r}$ -norm. The time derivative of $w_{k}$ is bounded in both cases in the norm of $- 1 (Ω)$ . The convergence (in the sense of distributions) of $v_{k} w_{k}$ to the product $v w$ of weak limits...

EasyMSG : tools and techniques for an adaptive overlapping in SPMD programming

Pascal Havé (2002)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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

Pascal Havé (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Edge finite elements for the approximation of Maxwell resolvent operator

Daniele Boffi, Lucia Gastaldi (2002)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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 $L^{2}$ norm for the sequence of discrete operators....

Edge finite elements for the approximation of Maxwell resolvent operator

Daniele Boffi, Lucia Gastaldi (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Electromagnetic dynamical systems.

Udrişte, Constantin, Udrişte, Aneta (1997)

Balkan Journal of Geometry and its Applications (BJGA)

Electromagnetic field in nonlinear media.

Hănţilă, Florea (1999)

Balkan Journal of Geometry and its Applications (BJGA)

Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis.

Stratis, Ioannis G., Yannacopoulos, Athanasios N. (2004)

Abstract and Applied Analysis

Exact and numerical solutions of Poisson equation for electrostatic potential problems.

Yıldırım, Selçuk (2008)

Mathematical Problems in Engineering

Existence globale pour les systèmes de Maxwell-Bloch

Éric Dumas (2002/2003)

Séminaire Équations aux dérivées partielles

Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric

Charles A. Stuart, Huan-Song Zhou (2001)

Annales de l'I.H.P. Analyse non linéaire

Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains

Michal Křížek, Pekka Neittaanmäki (1984)

Aplikace matematiky

The authors examine a finite element method for the numerical approximation of the solution to a div-rot system with mixed boundary conditions in bounded plane domains with piecewise smooth boundary. The solvability of the system both in an infinite and finite dimensional formulation is proved. Piecewise linear element fields with pointwise boundary conditions are used and their approximation properties are studied. Numerical examples indicating the accuracy of the method are given.

Currently displaying 41 – 60 of 157

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Displaying 41 – 60 of 157

Div-curl lemma revisited: Applications in electromagnetism

EasyMSG : tools and techniques for an adaptive overlapping in SPMD programming

EasyMSG: Tools and techniques for an adaptive overlapping in SPMD programming

Edge finite elements for the approximation of Maxwell resolvent operator

Edge finite elements for the approximation of Maxwell resolvent operator

Electromagnetic dynamical systems.

Electromagnetic field in nonlinear media.

Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis.

Exact and numerical solutions of Poisson equation for electrostatic potential problems.

Existence globale pour les systèmes de Maxwell-Bloch

Existence of guided cylindrical TM-modes in a homogeneous self-focusing dielectric

Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains

Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors.

Finite element approximation of Maxwell's equations with Debye memory.

Finite element convergence for the Darwin model to Maxwell's equations

Finite element solution of quasistationary nonlinear magnetic field

Generalized Dirac Operators on Nonsmooth Manifolds and Maxwell's Equations.

Geometrical and topological structure of magnetic fields generated by rectilinear wires.

Homogénéisation du problème des courants de Foucault dans un transformateur

Homogenization of a non-linear quasi-stationary Maxwell problem

Currently displaying 41 – 60 of 157