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

Roth, Thomas E.; Chew, Weng C.

doi:10.1016/j.jcp.2019.109102

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

Journal Article · Sat Nov 09 00:00:00 EST 2019 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2019.109102· OSTI ID:1595015

^[1]; Chew, Weng C. ^[2]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Univ. of Illinois at Urbana-Champaign, IL (United States)
Univ. of Illinois at Urbana-Champaign, IL (United States); Purdue Univ., West Lafayette, IN (United States)

The growth of applications at the intersection between electromagnetic and quantum physics is necessitating the creation of novel computational electromagnetic solvers. Work in this paper 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.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC04-94AL85000; NA0003525

OSTI ID:: 1595015

Alternate ID(s):: OSTI ID: 1691938

Report Number(s):: SAND--2019-14970J; 682269

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 408; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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