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Split-component PML absorbing conditions for SS-TLM

โœ Scribed by S. Le Maguer; M. M. Ney


Book ID
102383206
Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
339 KB
Volume
17
Category
Article
ISSN
0894-3370

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โœฆ Synopsis


Abstract

Known as alternate direct implicit (ADI) or splitโ€step (SS) schemes, a new class of timeโ€domain algorithms has recently been proposed. Their salient feature concerns their numerical stability, regardless the timeโ€step used. Thus, significant computational advantages can be obtained when nonโ€uniform mesh is used. To study open structures or determine Sโ€parameters, absorbing boundary conditions (ABC) have to be used. The perfectly matched layers (PML) technique based on split field component is implemented for the SSโ€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 PMLโ€TLM scheme. In addition, it is found that using a high timeโ€step does not seem to degrade significantly the accuracy of PML. Thus, the PML technique is very well adapted to SSโ€TLM as confirmed by various applications. Finally, unlike all classical TLMโ€PML schemes, the technique is found to be stable. Copyright ยฉ 2004 John Wiley & Sons, Ltd.


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