2020
DOI: 10.1007/s00024-020-02460-w
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An Efficient Unsplit Perfectly Matched Layer for Finite-Element Time-Domain Modeling of Elastodynamics in Cylindrical Coordinates

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Cited by 4 publications
(3 citation statements)
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“…The damping functions ζ i and the auxiliary vector f i vanish in the physical domain V RD ; hence, equation ( 14) reduces to classical two-dimensional governing equations of elastodynamics. Because the present PML formulation ( 14) requires only four auxiliary scalar variables f 1 , f 2 , f 3 and f 4 inside the PML and no high-order space derivatives, its implementation is not only straightforward but also effective to implement (Zhou et al, 2016;Zhou and Wang, 2020).…”
Section: Unsplit-field Pml Absorbing Boundarymentioning
confidence: 99%
“…The damping functions ζ i and the auxiliary vector f i vanish in the physical domain V RD ; hence, equation ( 14) reduces to classical two-dimensional governing equations of elastodynamics. Because the present PML formulation ( 14) requires only four auxiliary scalar variables f 1 , f 2 , f 3 and f 4 inside the PML and no high-order space derivatives, its implementation is not only straightforward but also effective to implement (Zhou et al, 2016;Zhou and Wang, 2020).…”
Section: Unsplit-field Pml Absorbing Boundarymentioning
confidence: 99%
“…By now, various PML formulations have been developed in this field. The various PML formulations used in elastodynamics differ not only in their choices of split-field 52,59 or unsplit-field formulations, [60][61][62] but also in their complex stretching functions, including the standard method with a zero-frequency singularity 61,[63][64][65] or the complex-frequency-shifted approach. [66][67][68] Spatial discretization categories also differ, ranging from the temporally first-order system of velocity-stress 60,69 to the temporally second-order systems of displacement with auxiliary variables 63 and mixed displacement-stress.…”
Section: Introductionmentioning
confidence: 99%
“…The various PML formulations used in elastodynamics differ not only in their choices of split-field 52,59 or unsplit-field formulations, [60][61][62] but also in their complex stretching functions, including the standard method with a zero-frequency singularity 61,[63][64][65] or the complex-frequency-shifted approach. [66][67][68] Spatial discretization categories also differ, ranging from the temporally first-order system of velocity-stress 60,69 to the temporally second-order systems of displacement with auxiliary variables 63 and mixed displacement-stress. 70,71 In addition, PML formulations differ based on whether they are implemented in the final time-domain 15,72 or frequency-domain, 73 and whether they are based on finite difference methods, 53,74 finite element methods, [74][75][76][77] or spectral element methods.…”
Section: Introductionmentioning
confidence: 99%