The Plane Wave Methods for the Time-Harmonic Elastic Wave Problems with the Complex Valued Coefficients

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0350 ◽

2021 ◽

Vol 13 (5) ◽

pp. 1169-1202

Author(s):

global sci

Keyword(s):

Elastic Wave ◽

Harmonic Elastic Wave ◽

Time Harmonic ◽

Wave Methods ◽

Complex Valued ◽

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A quasi-optimal non-overlapping domain decomposition method for two-dimensional time-harmonic elastic wave problems

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109050 ◽

2020 ◽

Vol 401 ◽

pp. 109050

Author(s):

V. Mattesi ◽

M. Darbas ◽

C. Geuzaine

Keyword(s):

Elastic Wave ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Two Dimensional ◽

Harmonic Elastic Wave ◽

Time Harmonic ◽

Overlapping Domain Decomposition ◽

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A boundary knot method for 3D time harmonic elastic wave problems

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106210 ◽

2020 ◽

Vol 104 ◽

pp. 106210 ◽

Author(s):

Linlin Sun ◽

Cong Zhang ◽

Yue Yu

Keyword(s):

Elastic Wave ◽

Harmonic Elastic Wave ◽

Time Harmonic ◽

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A Trefftz-discontinuous Galerkin method for time-harmonic elastic wave problems

Computational and Applied Mathematics ◽

10.1007/s40314-019-0900-y ◽

2019 ◽

Vol 38 (3) ◽

Author(s):

Long Yuan ◽

Yang Liu

Keyword(s):

Elastic Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Harmonic Elastic Wave ◽

Time Harmonic ◽

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Localized method of fundamental solutions for 2D harmonic elastic wave problems

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106759 ◽

2021 ◽

Vol 112 ◽

pp. 106759 ◽

Author(s):

Weiwei Li

Keyword(s):

Elastic Wave ◽

Fundamental Solutions ◽

Method Of Fundamental Solutions ◽

Harmonic Elastic Wave ◽

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On time-harmonic elastic-wave analysis by the boundary element method for moderate to high frequencies

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90060-5 ◽

1986 ◽

Vol 55 (3) ◽

pp. 349-367 ◽

Author(s):

M. Rezayat ◽

D.J. Shippy ◽

F.J. Rizzo

Keyword(s):

Boundary Element Method ◽

Elastic Wave ◽

Boundary Element ◽

Wave Analysis ◽

High Frequencies ◽

Harmonic Elastic Wave ◽

Time Harmonic ◽

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Multigrid-based ‘shifted-Laplacian’ preconditioning for the time-harmonic elastic wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2016.04.049 ◽

2016 ◽

Vol 317 ◽

pp. 47-65 ◽

Author(s):

G. Rizzuti ◽

W.A. Mulder

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Elastic Wave Equation ◽

Harmonic Elastic Wave ◽

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In-plane time-harmonic elastic wave motion and resonance phenomena in a layered phononic crystal with periodic cracks

The Journal of the Acoustical Society of America ◽

10.1121/1.4904498 ◽

2015 ◽

Vol 137 (1) ◽

pp. 238-252 ◽

Author(s):

Mikhail V. Golub ◽

Chuanzeng Zhang

Keyword(s):

Elastic Wave ◽

Wave Motion ◽

Phononic Crystal ◽

Harmonic Elastic Wave ◽

Resonance Phenomena ◽

Time Harmonic ◽

Periodic Cracks

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Dynamic Stresses Due to Time-Harmonic Elastic Wave Incidence on Doubly Periodic Array of Penny-Shaped Cracks

Journal of Mathematical Sciences ◽

10.1007/s10958-014-2094-6 ◽

2014 ◽

Vol 203 (1) ◽

pp. 114-122 ◽

Author(s):

V. V. Mykhas’kiv ◽

I. Ya. Zhbadynskyi ◽

Ch. Zhang

Keyword(s):

Elastic Wave ◽

Periodic Array ◽

Dynamic Stresses ◽

Harmonic Elastic Wave ◽

Time Harmonic ◽

Doubly Periodic Array ◽

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Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.024 ◽

2018 ◽

Vol 344 ◽

pp. 323-345 ◽

Author(s):

Long Yuan ◽

Qiya Hu

Keyword(s):

Helmholtz Equation ◽

Maxwell Equations ◽

Time Harmonic ◽

Wave Numbers ◽

Complex Wave ◽

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An MSSS-preconditioned matrix equation approach for the time-harmonic elastic wave equation at multiple frequencies

Computational Geosciences ◽

10.1007/s10596-017-9667-7 ◽

2017 ◽

Vol 22 (1) ◽

pp. 43-61 ◽

Author(s):

M. Baumann ◽

R. Astudillo ◽

Y. Qiu ◽

E. Y. M. Ang ◽

M. B. van Gijzen ◽

...

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Matrix Equation ◽

Equation Approach ◽

Elastic Wave Equation ◽

Harmonic Elastic Wave ◽

Time Harmonic ◽

Preconditioned Matrix ◽

Multiple Frequencies

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