| Issue |
ESAIM: M2AN
Volume 51, Number 1, January-February 2017
|
|
|---|---|---|
| Page(s) | 1 - 15 | |
| DOI | https://doi.org/10.1051/m2an/2016021 | |
| Published online | 23 November 2016 | |
New mapping properties of the time domain electric field integral equation∗
Department of Mathematical Sciences, University of Delaware, Newark DE 19716,
USA.
qty@udel.edu; fjsayas@udel.edu
Received:
9
September
2015
Revised:
18
February
2016
Accepted:
22
March
2016
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.
Mathematics Subject Classification: 65N30 / 65N38 / 65N12 / 65N15 / 78M15
Key words: Electric field integral equation / retarded potentials / boundary integral equations / electromagnetic scattering / semigroup theory
© EDP Sciences, SMAI 2016
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