Title
A hybrid Finite Integration-Finite Volume Scheme
Abstract
A hybridized scheme for the numerical solution of transient electromagnetic field problems is presented. The scheme combines the Finite Integration Technique (FIT) and the Finite Volume Method (FVM) in order to profit from the computational efficiency of the FIT while taking advantage of the superior dispersive properties of the FVM. The scheme is based on the longitudinal-transverse (LT) splitting of the discrete curl operator. The FIT is employed for discretizing the two-dimensional subproblem while the one-dimensional problem is discretized according to the FVM. The scheme offers benefits for the simulation of multiscale setups, where the size of the computational domain along one preferred direction is electrically much larger than along the others. In such situations, the accumulation of dispersion errors within hundreds of thousands of time steps usually deteriorates the solution accuracy. The hybrid scheme is applied in combination with adaptive mesh refinement, yielding an efficient scheme for multiscale applications.
Year
DOI
Venue
2010
10.1016/j.jcp.2010.01.041
J. Comput. Physics
Keywords
Field
DocType
adaptive mesh refinement,numerical method,finite volume method
Dispersion (optics),Discretization,Mathematical optimization,Adaptive mesh refinement,Operator (computer programming),Numerical analysis,Electromagnetic field,Finite volume method,Curl (mathematics),Mathematics
Journal
Volume
Issue
ISSN
229
11
0021-9991
Citations 
PageRank 
References 
2
0.48
0
Authors
3
Name
Order
Citations
PageRank
Sascha M. Schnepp120.48
E. Gjonaj221.15
Thomas Weiland3246.26