Geodesic
New mapping properties of the time domain electric field integral equation
Qiu, Tianyu1 ; Sayas, Francisco-Javier1 
1 Department of Mathematical Sciences, University of Delaware, Newark DE 19716, USA.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 1, pp. 1-15

Voir la notice de l'article provenant de la source Numdam

We show some improved mapping properties of the Time Domain Electric Field Integral Equation and of its Galerkin semidiscretization in space. We relate the weak distributional framework with a stronger class of solutions using a group of strongly continuous operators. The stability and error estimates we derive are sharper than those in the literature.

Reçu le :
Accepté le :
DOI : 10.1051/m2an/2016021
Classification : 65N30, 65N38, 65N12, 65N15, 78M15
Keywords: Electric field integral equation, retarded potentials, boundary integral equations, electromagnetic scattering, semigroup theory

Qiu, Tianyu 1 ; Sayas, Francisco-Javier 1

1 Department of Mathematical Sciences, University of Delaware, Newark DE 19716, USA. 
@article{M2AN_2017__51_1_1_0,
     author = {Qiu, Tianyu and Sayas, Francisco-Javier},
     title = {New mapping properties of the time domain electric field integral equation},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1--15},
     publisher = {EDP-Sciences},
     volume = {51},
     number = {1},
     year = {2017},
     doi = {10.1051/m2an/2016021},
     mrnumber = {3600998},
     zbl = {1360.78048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2016021/}
}
TY  - JOUR
AU  - Qiu, Tianyu
AU  - Sayas, Francisco-Javier
TI  - New mapping properties of the time domain electric field integral equation
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2017
SP  - 1
EP  - 15
VL  - 51
IS  - 1
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2016021/
DO  - 10.1051/m2an/2016021
LA  - en
ID  - M2AN_2017__51_1_1_0
ER  - 
%0 Journal Article
%A Qiu, Tianyu
%A Sayas, Francisco-Javier
%T New mapping properties of the time domain electric field integral equation
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2017
%P 1-15
%V 51
%N 1
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2016021/
%R 10.1051/m2an/2016021
%G en
%F M2AN_2017__51_1_1_0
Qiu, Tianyu; Sayas, Francisco-Javier. New mapping properties of the time domain electric field integral equation. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 1, pp. 1-15. doi: 10.1051/m2an/2016021

Cité par Sources :