-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes
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L2-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes
Serge Piperno (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We investigate sufficient and possibly necessary conditions for the L2 stability of the upwind first order finite volume scheme for Maxwell equations, with metallic and absorbing boundary conditions. We yield a very general sufficient condition, valid for any finite volume partition in two and three space dimensions. We show this condition is necessary for a class of regular meshes in two space dimensions. However, numerical tests show it is not necessary in three space dimensions even on regular...
Les équations de Maxwell
Yves Colin de Verdière (1996/1997)
Séminaire de théorie spectrale et géométrie
Lie transforms and motion of a charged particle in periodic magnetic field.
Bhattacharyya, Sikha, Roy Choudhury, R.K. (1984)
International Journal of Mathematics and Mathematical Sciences
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