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math.NA2024
A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Analytic Continuation
David Nicholls, Liet Vo
Electromagnetic waves interacting with three--dimensional periodic structures occur in many applications of great scientific and engineering interest. These three dimensional inter…
math.NA2023
A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media
David P. Nicholls, Liet Vo
The scattering of electromagnetic waves by three--dimensional periodic structures is important for many problems of crucial scientific and engineering interest. Due to the complexi…
math.NA2018
Sweeping preconditioners for the iterative solution of quasiperiodic Helmholtz transmission problems in layered media
David Nicholls, Carlos Pérez-Arancibia, Catalin Turc
We present a sweeping preconditioner for quasi-optimal Domain Decomposition Methods (DDM) applied to Helmholtz transmission problems in periodic layered media. Quasi-optimal DD (QO…