Cover Image

A Stable SBP-SAT FDTD Subgridding Method Without Region Split

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wang, Yuhui, Deng, Langran, Wu, Weibo, Liu, Hanhong, Zhang, Xinyue, Zhang, Xingqi, Wang, Jian, Wang, Wei-Jie, Chen, Zhizhang, Yang, Shunchuan
Format:	Preprint
Published:	2026
Subjects:	Computational Engineering, Finance, and Science
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

_version_	1866917412853514240
author	Wang, Yuhui Deng, Langran Wu, Weibo Liu, Hanhong Zhang, Xinyue Zhang, Xingqi Wang, Jian Wang, Wei-Jie Chen, Zhizhang Yang, Shunchuan
author_facet	Wang, Yuhui Deng, Langran Wu, Weibo Liu, Hanhong Zhang, Xinyue Zhang, Xingqi Wang, Jian Wang, Wei-Jie Chen, Zhizhang Yang, Shunchuan
contents	A provably stable summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-domain (FDTD) subgridding method without region split is proposed. By designing projection SBP operators tailored for embedded topological features and deriving the corresponding SAT boundary conditions, this approach guarantees long-time stability through discrete energy analysis. Unlike conventional SBP-SAT FDTD subgridding techniques that rely on aligned or multi-block configurations, the proposed method enables a direct coupling between an internal refined region and a single surrounding coarse-grid domain without introducing auxiliary blocks or causing domain fragmentation. Numerical results validate the efficiency, accuracy, and topological flexibility of the proposed method. Compared with existing multi-block SBP-SAT methods, this method effectively reduces computational complexity by minimizing SAT boundary conditions and improves calculation accuracy near grid interfaces.
format	Preprint
id	arxiv_https___arxiv_org_abs_2604_14618
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	A Stable SBP-SAT FDTD Subgridding Method Without Region Split Wang, Yuhui Deng, Langran Wu, Weibo Liu, Hanhong Zhang, Xinyue Zhang, Xingqi Wang, Jian Wang, Wei-Jie Chen, Zhizhang Yang, Shunchuan Computational Engineering, Finance, and Science A provably stable summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-domain (FDTD) subgridding method without region split is proposed. By designing projection SBP operators tailored for embedded topological features and deriving the corresponding SAT boundary conditions, this approach guarantees long-time stability through discrete energy analysis. Unlike conventional SBP-SAT FDTD subgridding techniques that rely on aligned or multi-block configurations, the proposed method enables a direct coupling between an internal refined region and a single surrounding coarse-grid domain without introducing auxiliary blocks or causing domain fragmentation. Numerical results validate the efficiency, accuracy, and topological flexibility of the proposed method. Compared with existing multi-block SBP-SAT methods, this method effectively reduces computational complexity by minimizing SAT boundary conditions and improves calculation accuracy near grid interfaces.
title	A Stable SBP-SAT FDTD Subgridding Method Without Region Split
topic	Computational Engineering, Finance, and Science
url	https://arxiv.org/abs/2604.14618