New mapping properties of the time domain electric field integral equation∗
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