@Article{CiCP-17-3,
author = {},
title = {A Multilevel Numerical Approach with Application in Time-Domain Electromagnetics},
journal = {Communications in Computational Physics},
year = {2015},
volume = {17},
number = {3},
pages = {703--720},
abstract = {<p style="text-align: justify;">An algebraic multilevel method is proposed for efficiently simulating linear
wave propagation using higher-order numerical schemes. This method is used in
conjunction with the Finite Volume Time Domain (FVTD) technique for the numerical
solution of the time-domain Maxwell&#39;s equations in electromagnetic scattering
problems. In the multilevel method the solution is cycled through spatial operators
of varying orders of accuracy, while maintaining highest-order accuracy at coarser approximation
levels through the use of the relative truncation error as a forcing function.
Higher-order spatial accuracy can be enforced using the multilevel method at a
fraction of the computational cost incurred in a conventional higher-order implementation.
The multilevel method is targeted towards electromagnetic scattering problems
at large electrical sizes which usually require long simulation times due to the use of
very fine meshes dictated by point-per-wavelength requirements to accurately model
wave propagation over long distances.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.181113.271114a},
url = {https://global-sci.com/article/80395/a-multilevel-numerical-approach-with-application-in-time-domain-electromagnetics}
}