Geodesic
New mapping properties of the time domain electric field integral equation
Qiu, Tianyu 1   ; Sayas, Francisco-Javier 1 idref  
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 Cet article a éte moissonné depuis la source Numdam

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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. 
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     title = {New mapping properties of the time domain electric field integral equation},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1--15},
     year = {2017},
     publisher = {EDP-Sciences},
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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

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