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

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

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

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topDepeyre, 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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