Alternating-direction implicit method: Difference between revisions

Revision as of 01:36, 9 December 2019

Revision as of 01:38, 9 December 2019

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=== Relations to other implicit methods ===

Many classical implicit methods by Peachman-Rachford, Douglas-Gunn, D'Yakonov, Beam-Warming, Crank-Nicolson, etc., may be simplified to fundamental implicit schemes with operator-free right-hand sides.<ref name=":8" /> In their fundamental forms, the FADI method of second-order temporal accuracy can be related closely to the fundamental locally one-dimensional (FLOD) method, which is also of second-order temporal accuracy, for three-dimensional Maxwell's equations <ref>{{Cite journal|last=Tan|first=E. L.|date=2007|title=Unconditionally Stable LOD-FDTD Method for 3-D Maxwell’s Equations|url=https://www.researchgate.net/profile/E_Tan/publication/3429376_Unconditionally_stable_LOD-FDTD_method_for_3-D_Maxwell's_equations/links/5ded0d804585159aa46e6f46/Unconditionally-stable-LOD-FDTD-method-for-3-D-Maxwells-equations.pdf|journal=IEEE Microwave and Wireless Components Letters|volume=17|issue=2|pages=85-87|doi=10.1109/LMWC.2006.890166|via=}}</ref><ref>{{Cite journal|last=Gan|first=T. H.|last2=Tan|first2=E. L.|date=2013|title=Unconditionally Stable Fundamental LOD-FDTD Method with Second-Order Temporal Accuracy and Complying Divergence|url=|journal=IEEE Transactions on Antennas and Propagation|volume=61|issue=5|pages=2630-2638|doi=10.1109/TAP.2013.2242036|via=}}</ref> in [[computational electromagnetics]].

== References ==