TY - GEN
T1 - Numerical solution to Maxwell's equations in singular waveguides
AU - Assous, Franck
AU - Ciarlet, Patrick
PY - 2007/1/1
Y1 - 2007/1/1
N2 - This paper is devoted to the numerical solution of the instationary Maxwell equations in singular waveguides. The geometry is called singular, as its boundary includes reentrant corners or edges, which generate, in their neighborhood, strong electromagnetic fields. We have built a method which allows to compute the time-dependent electromagnetic field, based on a splitting of the spaces of solutions: First, the subspace of regular fields, which coincides with the whole space of solutions, in the case of convex or smooth boundary; Second, a singular subspace, defined and characterized via the singularities of the Laplace operator. Numerical results illustrate the influence of frequency of the ingoing electromagnetic waves in a L-shaped waveguide.
AB - This paper is devoted to the numerical solution of the instationary Maxwell equations in singular waveguides. The geometry is called singular, as its boundary includes reentrant corners or edges, which generate, in their neighborhood, strong electromagnetic fields. We have built a method which allows to compute the time-dependent electromagnetic field, based on a splitting of the spaces of solutions: First, the subspace of regular fields, which coincides with the whole space of solutions, in the case of convex or smooth boundary; Second, a singular subspace, defined and characterized via the singularities of the Laplace operator. Numerical results illustrate the influence of frequency of the ingoing electromagnetic waves in a L-shaped waveguide.
U2 - 10.1007/978-3-540-72590-9_34
DO - 10.1007/978-3-540-72590-9_34
M3 - Conference contribution
AN - SCOPUS:38349035888
SN - 9783540725893
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 235
EP - 242
BT - Computational Science - ICCS 2007 - 7th International Conference, Proceedings
PB - Springer Verlag
T2 - 7th International Conference on Computational Science, ICCS 2007
Y2 - 27 May 2007 through 30 May 2007
ER -