An efficient finite element time-domain formulation for the elastic second-order wave equation: A non-split complex frequency shifted convolutional PML

René Matzen

doi:10.1002/nme.3205

An efficient finite element time-domain formulation for the elastic second-order wave equation: A non-split complex frequency shifted convolutional PML

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.3205 ◽

2011 ◽

Vol 88 (10) ◽

pp. 951-973 ◽

Cited By ~ 31

Author(s):

René Matzen

Keyword(s):

Finite Element ◽

Wave Equation ◽

Time Domain ◽

Second Order ◽

Complex Frequency ◽

Second Order Wave Equation

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Finite-Element Time-Domain Method for Multiconductor Transmission Lines Based on the Second-Order Wave Equation

IEEE Transactions on Electromagnetic Compatibility ◽

10.1109/temc.2014.2314212 ◽

2014 ◽

Vol 56 (5) ◽

pp. 1218-1228 ◽

Cited By ~ 3

Author(s):

Lei Qi ◽

Shuhua Bai ◽

Qi Shuai ◽

Xin Liu ◽

Xiang Cui

Keyword(s):

Finite Element ◽

Wave Equation ◽

Transmission Lines ◽

Time Domain ◽

Second Order ◽

Time Domain Method ◽

Multiconductor Transmission Lines ◽

Domain Method ◽

Second Order Wave Equation

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A modified and stable version of a perfectly matched layer technique for the 3-d second order wave equation in time domain with an application to aeroacoustics

Journal of Computational Physics ◽

10.1016/j.jcp.2012.10.016 ◽

2013 ◽

Vol 235 ◽

pp. 407-422 ◽

Cited By ~ 38

Author(s):

Barbara Kaltenbacher ◽

Manfred Kaltenbacher ◽

Imbo Sim

Keyword(s):

Wave Equation ◽

Time Domain ◽

Perfectly Matched Layer ◽

Second Order ◽

Layer Technique ◽

Second Order Wave Equation

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Dispersive and Dissipative Properties of Discontinuous Galerkin Finite Element Methods for the Second-Order Wave Equation

Journal of Scientific Computing ◽

10.1007/s10915-005-9044-x ◽

2006 ◽

Vol 27 (1-3) ◽

pp. 5-40 ◽

Cited By ~ 134

Author(s):

M. Ainsworth ◽

P. Monk ◽

W. Muniz

Keyword(s):

Finite Element ◽

Wave Equation ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Second Order ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Second Order Wave Equation

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Unsplit complex frequency shifted perfectly matched layer for second-order wave equation using auxiliary differential equations

The Journal of the Acoustical Society of America ◽

10.1121/1.4938270 ◽

2015 ◽

Vol 138 (6) ◽

pp. EL551-EL557 ◽

Cited By ~ 4

Author(s):

Yingjie Gao ◽

Jinhai Zhang ◽

Zhenxing Yao

Keyword(s):

Wave Equation ◽

Differential Equations ◽

Perfectly Matched Layer ◽

Second Order ◽

Complex Frequency ◽

Second Order Wave Equation

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Second-order Wave Equation Modeling in Time Domain with Surface Topography Using Embedded Boundary Method and PML

73rd EAGE Conference and Exhibition incorporating SPE EUROPEC 2011 ◽

10.3997/2214-4609.20149623 ◽

2011 ◽

Cited By ~ 1

Author(s):

S. Y. Yuan ◽

S. X. Wang ◽

Y. X. He ◽

N. Tian

Keyword(s):

Wave Equation ◽

Surface Topography ◽

Time Domain ◽

Second Order ◽

Equation Modeling ◽

Boundary Method ◽

Embedded Boundary ◽

Second Order Wave Equation ◽

Embedded Boundary Method

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Implementation of second-order perfectly matched layers in the time-domain finite element method

2007 IEEE Antennas and Propagation Society International Symposium ◽

10.1109/aps.2007.4396688 ◽

2007 ◽

Author(s):

Zheng Lou ◽

Davi Correia ◽

Jian-Ming Jin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Time Domain ◽

Second Order ◽

Perfectly Matched Layers ◽

The Time Domain ◽

Matched Layers ◽

Element Method

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A stochastic collocation method for the second order wave equation with a discontinuous random speed

Numerische Mathematik ◽

10.1007/s00211-012-0493-5 ◽

2012 ◽

Vol 123 (3) ◽

pp. 493-536 ◽

Cited By ~ 30

Author(s):

Mohammad Motamed ◽

Fabio Nobile ◽

Raúl Tempone

Keyword(s):

Wave Equation ◽

Collocation Method ◽

Second Order ◽

Stochastic Collocation ◽

Stochastic Collocation Method ◽

Second Order Wave Equation

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Unconditional stability and optimal error estimates of discontinuous Galerkin methods for the second-order wave equation

Applicable Analysis ◽

10.1080/00036811.2019.1636968 ◽

2019 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Limin He ◽

Weimin Han ◽

Fei Wang ◽

Wentao Cai

Keyword(s):

Wave Equation ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Unconditional Stability ◽

Second Order ◽

Optimal Error Estimates ◽

Galerkin Methods ◽

Optimal Error ◽

Second Order Wave Equation

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Finite element Maxwell equation solutions in the time domain using a second order equation

10.1109/aps.1989.134893 ◽

2003 ◽

Cited By ~ 2

Author(s):

K.D. Paulsen ◽

D.R. Lynch

Keyword(s):

Finite Element ◽

Maxwell Equation ◽

Time Domain ◽

Order Equation ◽

Second Order ◽

The Time Domain

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Assessment of the performances of first- and second-order time-domain ABC's for the truncation of finite element grids

Microwave and Optical Technology Letters ◽

10.1002/mop.10957 ◽

2003 ◽

Vol 38 (1) ◽

pp. 11-16 ◽

Cited By ~ 9

Author(s):

Salvatore Caorsi ◽

Gaia Cevini

Keyword(s):

Finite Element ◽

Time Domain ◽

Second Order

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