Bibliographic Details
| Title: |
Energy analysis of the ADI-FDTD method with fourth-order accuracy in time for Maxwell's equations |
| Authors: |
Li Zhang, Maohua Ran, Hanyue Zhang |
| Source: |
AIMS Mathematics, Vol 8, Iss 1, Pp 264-284 (2023) |
| Publisher Information: |
AIMS Press, 2023. |
| Publication Year: |
2023 |
| Collection: |
LCC:Mathematics |
| Subject Terms: |
maxwell's equations, adi-fdtd, energy method, approximately energy-preserving, Mathematics, QA1-939 |
| More Details: |
In this work, the ADI-FDTD method with fourth-order accuracy in time for the 2-D Maxwell's equations without sources and charges is proposed. We mainly focus on energy analysis of the proposed ADI-FDTD method. By using the energy method, we derive the numerical energy identity of the ADI-FDTD method and show that the ADI-FDTD method is approximately energy-preserving. In comparison with the energy in theory, the numerical one has two perturbation terms and can be used in computation in order to keep it approximately energy-preserving. Numerical experiments are given to show the performance of the proposed ADI-FDTD method which confirm the theoretical results. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
2473-6988 |
| Relation: |
https://doaj.org/toc/2473-6988 |
| DOI: |
10.3934/math.2023012?viewType=HTML |
| DOI: |
10.3934/math.2023012 |
| Access URL: |
https://doaj.org/article/78411bc919f9479f88b1a3b563be6be4 |
| Accession Number: |
edsdoj.78411bc919f9479f88b1a3b563be6be4 |
| Database: |
Directory of Open Access Journals |
