Stability analysis and discretization of A-Φ time domain integral equations for multiscale electromagnetics

JOURNAL OF COMPUTATIONAL PHYSICS

卷:408

Article

Roth, Thomas E.^1,2  Chew, Weng C.^2,3 

[1] Sandia Natl Labs, POB 5800, Albuquerque, NM 87185 USA

[2] Univ Illinois, BDepartment Elect & Comp Engn, Urbana, IL USA

[3] Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA

关键词: Electromagnetics;    Time domain integral equations;    Stability analysis;   

DOI  :  10.1016/j.jcp.2019.109102

来源: Elsevier

【 摘 要 】

The growth of applications at the intersection between electromagnetic and quantum physics is necessitating the creation of novel computational electromagnetic solvers. This work presents a new set of time domain integral equations (TDIEs) formulated directly in terms of the magnetic vector and electric scalar potentials that can be used to meet many of the requirements of this emerging area. Stability for this new set of TDIEs is achieved by leveraging an existing rigorous functional framework that can be used to determine suitable discretization approaches to yield stable results in practice. The basics of this functional framework are reviewed before it is shown in detail how it may be applied in developing the TDIEs of this work. Numerical results are presented which validate the claims of stability and accuracy of this method over a wide range of frequencies where traditional methods would fail. (C) 2019 Published by Elsevier Inc.

【 授权许可】

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