A stability analysis for finite volume schemes applied to the Maxwell system

Sophie Depeyre

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 33, Issue: 3, page 443-458
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Depeyre, Sophie. "A stability analysis for finite volume schemes applied to the Maxwell system." ESAIM: Mathematical Modelling and Numerical Analysis 33.3 (2010): 443-458. <http://eudml.org/doc/197613>.

@article{Depeyre2010,
abstract = { 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. },
author = {Depeyre, Sophie},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Finite volume; finite element; stability; Maxwell system; Fourier analysis.; finite volume schemes; first-order upwind scheme; Yee scheme; convection equation},
language = {eng},
month = {3},
number = {3},
pages = {443-458},
publisher = {EDP Sciences},
title = {A stability analysis for finite volume schemes applied to the Maxwell system},
url = {http://eudml.org/doc/197613},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Depeyre, Sophie
TI - A stability analysis for finite volume schemes applied to the Maxwell system
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 3
SP - 443
EP - 458
AB - 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.
LA - eng
KW - Finite volume; finite element; stability; Maxwell system; Fourier analysis.; finite volume schemes; first-order upwind scheme; Yee scheme; convection equation
UR - http://eudml.org/doc/197613
ER -

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