The finite-volume time-domain algorithm using least square method in solving Maxwell's equations

Authors:
Yan Shi;Chang-Hong Liang
Affiliations:
School of Electronic Engineering, Xidian University, Xi'an 710071, PR China;School of Electronic Engineering, Xidian University, Xi'an 710071, PR China
Venue:
Journal of Computational Physics
Year:
2007

Citing 8
Cited 0

On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation

Journal of Computational Physics
A mathematical analysis of the PML method

Journal of Computational Physics
Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method

Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Weighted essentially non-oscillatory schemes on triangular meshes

Journal of Computational Physics
Spectral collocation time-domain modeling of diffractive optical elements

Journal of Computational Physics
Field Computation by Moment Methods

Field Computation by Moment Methods
Nodal high-order methods on unstructured grids

Journal of Computational Physics
Finite-volume time-domain (FVTD) modelling of a broadband double-ridged horn antenna: Research Articles

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields - Special Issue on the 5th CEM-TD

Quantified Score

Hi-index	31.45

Visualization

Abstract

A finite-volume time-domain algorithm using least square method with a well-posed perfectly matched layer (PML) has been developed for the time-domain solution of Maxwell's equations. This algorithm uses the unstructured grids to obtain good computational efficiency and geometric flexibility. A novelty cell-wise data reconstruction scheme based on least square method is derived to achieve second-order spatial accuracy. A well-posed PML is applied to truncate computational domain by absorbing outgoing electromagnetic waves. The explicit Runge-Kutta scheme is employed to solve the semi-discrete Maxwell's equations. Several numerical results are presented to illustrate the efficiency and accuracy of the algorithm.