Reference : Optimizing Perfectly Matched Layers in Discrete Contexts
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Engineering, computing & technology : Mechanical engineering
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/165708
Optimizing Perfectly Matched Layers in Discrete Contexts
English
Modave, Axel [Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
Delhez, Eric mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mathématiques générales >]
Geuzaine, Christophe mailto [Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
10-Aug-2014
International Journal for Numerical Methods in Engineering
Wiley
99
6
410–437
Yes (verified by ORBi)
International
0029-5981
1097-0207
Chichester
United Kingdom
[en] perfectly matched layer ; absorbing layer ; absorption function ; finite difference ; finite volume ; finite element
[en] Perfectly Matched Layers (PMLs) are widely used for the numerical simulation of wave-like problems defined on large or infinite spatial domains. However, for both the time-dependent and the time-harmonic cases, their performance critically depends on the so-called absorption function. This paper deals with the choice of this function when classical numerical methods are used (based on finite differences, finite volumes, continuous finite elements and discontinuous finite elements). After reviewing the properties of the PMLs at the continuous level, we analyse how they are altered by the different spatial discretizations. In the light of these results, different shapes of absorption function are optimized and compared by means of both one- and two-dimensional representative time-dependent cases. This study highlights the advantages of the so-called shifted hyperbolic function, which is efficient in all cases and does not require the tuning of a free parameter, by contrast with the widely used polynomial functions.
Researchers ; Professionals ; Students ; General public
http://hdl.handle.net/2268/165708
10.1002/nme.4690

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