an:01014191
Zbl 0874.65097
Depeyre, Sophie; Issautier, Didier
A new constrained formulation of the Maxwell system
EN
RAIRO, Mod??lisation Math. Anal. Num??r. 31, No. 3, 327-357 (1997).
00039699
1997
j
65Z05 65N30 65N12 35Q60 78A25
Maxwell system; numerical examples; stability; finite volume schemes
The authors present a new constrained formulation of the Maxwell equations in order to improve the numerical verification of the divergence relations \(\roman {div} \;\mathbf B = 0, \;\text{div} \;\mathbf E = \frac{\varrho}{\epsilon_0}\). The stability of the finite volume schemes applied to the new constrained system using rectangular and triangular meshes is also studied. The authors present some numerical results in order to demonstrate the efficiency of this method.
K.Najzar (Praha)