A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model.
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A Boundary Element Method for a Two-Dimensional Interface Problem in Electromagnetics.
S.I. Hariharan, E. Stephan (1983)
Numerische Mathematik
A finite element method for approximating the time-harmonic Maxwell equations.
Peter Monk (1992)
Numerische Mathematik
A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics
Dario Bambusi (1994)
Annales de l'I.H.P. Physique théorique
A new constrained formulation of the Maxwell system
Sophie Depeyre, Didier Issautier (1997)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
A note on point source diffraction by a wedge.
Rawlins, A.D. (2004)
Journal of Applied Mathematics
A note to Friedrichs' inequality
Dana Říhová-Škabrahová (1999)
Archivum Mathematicum
A numerical minimization scheme for the complex Helmholtz equation
Russell B. Richins, David C. Dobson (2012)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We use the work of Milton, Seppecher, and Bouchitté on variational principles for waves in lossy media to formulate a finite element method for solving the complex Helmholtz equation that is based entirely on minimization. In particular, this method results in a finite element matrix that is symmetric positive-definite and therefore simple iterative descent methods and preconditioning can be used to solve the resulting system of equations. We also derive an error bound for the method and illustrate...
A numerical minimization scheme for the complex Helmholtz equation
Russell B. Richins, David C. Dobson (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
We use the work of Milton, Seppecher, and Bouchitté on variational principles for waves in lossy media to formulate a finite element method for solving the complex Helmholtz equation that is based entirely on minimization. In particular, this method results in a finite element matrix that is symmetric positive-definite and therefore simple iterative descent methods and preconditioning can be used to solve the resulting system of equations. We also derive an error bound for the method and illustrate...
A remark on the local Lipschitz continuity of vector hysteresis operators
Pavel Krejčí (2001)
Applications of Mathematics
It is known that the vector stop operator with a convex closed characteristic of class is locally Lipschitz continuous in the space of absolutely continuous functions if the unit outward normal mapping is Lipschitz continuous on the boundary of . We prove that in the regular case, this condition is also necessary.
A representation formula for the voltage perturbations caused by diametrically small conductivity inhomogeneities. Proof of uniform validity
Hoai-Minh Nguyen, Michael S. Vogelius (2009)
Annales de l'I.H.P. Analyse non linéaire
A stability analysis for finite volume schemes applied to the Maxwell system
Sophie Depeyre (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
A stability analysis for finite volume schemes applied to the Maxwell system
Sophie Depeyre (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We present in this paper a stability study concerning finite volume schemes applied to the two-dimensional Maxwell system, using rectangular or triangular meshes. A stability condition is proved for the first-order upwind scheme on a rectangular mesh. Stability comparisons between the Yee scheme and the finite volume formulation are proposed. We also compare the stability domains obtained when considering the Maxwell system and the convection equation.
A stability estimate for a solution of the problem of determining the dielectric permittivity.
Romanov, V.G. (2004)
Sibirskij Matematicheskij Zhurnal
A stability estimate for a solution to a three-dimensional inverse problem for the Maxwell equations.
Romanov, V.G. (2004)
Sibirskij Matematicheskij Zhurnal
A stability estimate for a solution to a two-dimensional inverse problem of electrodynamics.
Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
A survey of some new results in ferromagnetic thin films
Radu Ignat (2007/2008)
Séminaire Équations aux dérivées partielles
A Taylor Series Method for the Numerical Solution of Two-Point Boundary Value Problems.
P. Rentrop (1978/1979)
Numerische Mathematik
Addendum to the paper “Finite element solution of quasistationary nonlinear magnetic field”
Miloš Zlamal (1983)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
An analysis of the Darwin model of approximation to Maxwell's equations.
Pierre Degond, Pierre-Arnaud Raviart (1992)
Forum mathematicum
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