New mapping properties of the Time Domain Electric Field Integral Equation
arXiv:1509.012366 citations
Originality Synthesis-oriented
AI Analysis
Provides sharper theoretical guarantees for numerical solutions of time-domain electromagnetic scattering problems.
The paper improves mapping properties of the Time Domain Electric Field Integral Equation and its Galerkin semidiscretization, deriving sharper stability and error estimates than existing literature.
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.