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Split‐component PML absorbing conditions for SS‐TLM
Author(s) -
Le Maguer S.,
Ney M. M.
Publication year - 2004
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.541
Subject(s) - perfectly matched layer , component (thermodynamics) , salient , stability (learning theory) , computer science , set (abstract data type) , boundary (topology) , domain (mathematical analysis) , class (philosophy) , feature (linguistics) , algorithm , finite difference time domain method , boundary value problem , field (mathematics) , scheme (mathematics) , mathematics , topology (electrical circuits) , physics , mathematical analysis , optics , pure mathematics , linguistics , philosophy , combinatorics , artificial intelligence , machine learning , programming language , thermodynamics
Known as alternate direct implicit (ADI) or split‐step (SS) schemes, a new class of time‐domain algorithms has recently been proposed. Their salient feature concerns their numerical stability, regardless the time‐step used. Thus, significant computational advantages can be obtained when non‐uniform mesh is used. To study open structures or determine S‐parameters, absorbing boundary conditions (ABC) have to be used. The perfectly matched layers (PML) technique based on split field component is implemented for the SS‐TLM algorithm. The complete set of updating equations is provided and the new PML is validated. It is shown to provide high accuracy even better than that of classical PML‐TLM scheme. In addition, it is found that using a high time‐step does not seem to degrade significantly the accuracy of PML. Thus, the PML technique is very well adapted to SS‐TLM as confirmed by various applications. Finally, unlike all classical TLM‐PML schemes, the technique is found to be stable. Copyright © 2004 John Wiley & Sons, Ltd.