New mapping properties of the time domain electric field integral equation

Qiu, Tianyu; Sayas, Francisco-Javier

ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 1, pp. 1-15.

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.

Classification : 65N30, 65N38, 65N12, 65N15, 78M15
Mots clés : Electric field integral equation, retarded potentials, boundary integral equations, electromagnetic scattering, semigroup theory

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