FDTD Stability: Critical Time Increment
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Date
2003-06
Authors
ORCID
Advisor
Referee
Mark
Journal Title
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Volume Title
Publisher
Společnost pro radioelektronické inženýrství
Abstract
A new approach suitable for determination of the maximal stable time increment for the Finite-Difference Time-Domain (FDTD) algorithm in common curvilinear coordinates, for general mesh shapes and certain types of boundaries is presented. The maximal time increment corresponds to a characteristic value of a Helmholz equation that is solved by a finite-difference (FD) method. If this method uses exactly the same discretization as the given FDTD method (same mesh, boundary conditions, order of precision etc.), the maximal stable time increment is obtained from the highest characteristic value. The FD system is solved by an iterative method, which uses only slightly altered original FDTD formulae. The Courant condition yields a stable time increment, but in certain cases the maximum increment is slightly greater [2].
Description
Citation
Radioengineering. 2003, vol. 12, č. 2, s. 16-22. ISSN 1210-2512
http://www.radioeng.cz/fulltexts/2003/03_02_16_22.pdf
http://www.radioeng.cz/fulltexts/2003/03_02_16_22.pdf
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Peer-reviewed
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en