@article{M2AN_1995__29_2_171_0, author = {Makridakis, Ch. G. and Monk, P.}, title = {Time-discrete finite element schemes for {Maxwell's} equations}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {171--197}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {29}, number = {2}, year = {1995}, mrnumber = {1332480}, zbl = {0834.65120}, language = {en}, url = {http://www.numdam.org/item/M2AN_1995__29_2_171_0/} }
TY - JOUR AU - Makridakis, Ch. G. AU - Monk, P. TI - Time-discrete finite element schemes for Maxwell's equations JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1995 SP - 171 EP - 197 VL - 29 IS - 2 PB - AFCET - Gauthier-Villars PP - Paris UR - http://www.numdam.org/item/M2AN_1995__29_2_171_0/ LA - en ID - M2AN_1995__29_2_171_0 ER -
%0 Journal Article %A Makridakis, Ch. G. %A Monk, P. %T Time-discrete finite element schemes for Maxwell's equations %J ESAIM: Modélisation mathématique et analyse numérique %D 1995 %P 171-197 %V 29 %N 2 %I AFCET - Gauthier-Villars %C Paris %U http://www.numdam.org/item/M2AN_1995__29_2_171_0/ %G en %F M2AN_1995__29_2_171_0
Makridakis, Ch. G.; Monk, P. Time-discrete finite element schemes for Maxwell's equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 29 (1995) no. 2, pp. 171-197. http://www.numdam.org/item/M2AN_1995__29_2_171_0/
[1] Study of an implicit scheme for integrating Maxwell's equations, Comp.Meth. Appl. Mech. Eng., 22, 327-346. | MR | Zbl
, , and , 1980,[2] Semidiscrete and single step fully discrete approximations for second order hyperbolic equations, RAIRO Anal. Numer, 13, 75-100. | Numdam | MR | Zbl
and , 1979,[3] Solving Maxwell equations in a closed cavity, and the question of « spurious » modes, IEEE Trans. Mag., 26, 702-705.
, 1990,[4] The Finite Element Method for Elliptic Problems, vol. 4 of Studies in Mathematics and It's Applications, Elsevier North-Holland, NewYork. | MR | Zbl
, 1978,[5] Discrete vector potential representation of a divergence free vector field in three dimensional domains : numerical analysis of a model problem, SIAM J. Numer. Anal., 27, 1103-1142. | MR | Zbl
, 1990,[6] Incompressible finite element methods for Navier-Stokes equations with nonstandard boundary conditions in R3, Math. Comp., 51,53-58. | Zbl
, 1988,[7] Curl-conforming finite element methods for Navier-Stokes equations with non-standard boundary conditions in R3, in The Navier-Stokes equations. Theory and Numerical Methods, Lecture Notes, 1431,Springer, 201-218. | MR | Zbl
, 1990,[8] Finite Element Methods for Navier-Stokes Equations, Springer-Verlag, New York. | MR | Zbl
and , 1986,[9] On time-harmonic Maxwell equations with nonhomogeneous conductivities : solvability and FE-approximation, Aplikace Matematiky, 34, 480-499. | MR | Zbl
and , 1989,[10] Initial Boundary Value Problems in Mathematical Physics, John Wiley, New York. | Zbl
, 1988,[11] Radar cross section computations of inhomogeneous scatterers using edge-based finite element method in frequency and time domains, Radio Science, 28, 1181-1193.
and , 1993,[12] Use of Whitney's edge and face elements for efficient finite element time domain solution of Maxwell's equation, Preprint.
, and , 1993,[13] On mixed finite element methods in linear elastodynamics, Numer. Math., 61, 235-260. | MR | Zbl
, 1992,[14] An analysis of Nédélec's method for the spatial discretization of Maxwell's equations, J. Comp. Appl. Math., 47, 101-121. 3 | MR | Zbl
, 1993,[15] Mixed finite elements in R3, Numer. Math., 35, 315-341. | MR | Zbl
, 1980,[16] Éléments finis mixtes incompressibles pour l'équation de Stokes dans R3, Numer. Math., 39, 97-112. | Zbl
,[17] Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. on Antennas and Propagation, AP-16, 302-307. | Zbl
, 1966,