Stable Difference Approximations for the Elastic Wave Equation in Second Order Formulation

Stefan Nilsson; N. Anders Petersson; Björn Sjögreen; Heinz-Otto Kreiss

doi:10.1137/060663520

Stable Difference Approximations for the Elastic Wave Equation in Second Order Formulation

SIAM Journal on Numerical Analysis ◽

10.1137/060663520 ◽

2007 ◽

Vol 45 (5) ◽

pp. 1902-1936 ◽

Cited By ~ 48

Author(s):

Stefan Nilsson ◽

N. Anders Petersson ◽

Björn Sjögreen ◽

Heinz-Otto Kreiss

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Second Order ◽

Elastic Wave Equation ◽

Difference Approximations

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Second order homogenization of the elastic wave equation for non-periodic layered media

Geophysical Journal International ◽

10.1111/j.1365-246x.2007.03462.x ◽

2007 ◽

Vol 170 (2) ◽

pp. 823-838 ◽

Cited By ~ 57

Author(s):

Y. Capdeville ◽

J.-J. Marigo

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Layered Media ◽

Second Order ◽

Elastic Wave Equation ◽

Periodic Layered Media

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A Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation

Journal of Scientific Computing ◽

10.1007/s10915-011-9531-1 ◽

2011 ◽

Vol 52 (1) ◽

pp. 17-48 ◽

Cited By ~ 58

Author(s):

Björn Sjögreen ◽

N. Anders Petersson

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Elastic Wave ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Second Order ◽

Elastic Wave Equation

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Stable and High-Order Accurate Boundary Treatments for the Elastic Wave Equation on Second-Order Form

SIAM Journal on Scientific Computing ◽

10.1137/130947210 ◽

2014 ◽

Vol 36 (6) ◽

pp. A2787-A2818 ◽

Cited By ~ 14

Author(s):

Kenneth Duru ◽

Gunilla Kreiss ◽

Ken Mattsson

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Second Order ◽

High Order ◽

Elastic Wave Equation ◽

Order Form ◽

Boundary Treatments

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Boundary Waves and Stability of the Perfectly Matched Layer for the Two Space Dimensional Elastic Wave Equation in Second Order Form

SIAM Journal on Numerical Analysis ◽

10.1137/13093563x ◽

2014 ◽

Vol 52 (6) ◽

pp. 2883-2904 ◽

Cited By ~ 7

Author(s):

Kenneth Duru ◽

Gunilla Kreiss

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Perfectly Matched Layer ◽

Second Order ◽

Elastic Wave Equation ◽

Order Form

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An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.04.014 ◽

2018 ◽

Vol 338 ◽

pp. 362-391 ◽

Cited By ~ 7

Author(s):

Daniel Appelö ◽

Thomas Hagstrom

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Discontinuous Galerkin ◽

Second Order ◽

Elastic Wave Equation ◽

Galerkin Discretization ◽

Order Form

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New FD Operators to Solve Second Order Elastic Wave Equation

London 2013, 75th eage conference en exhibition incorporating SPE Europec ◽

10.3997/2214-4609.20130672 ◽

2013 ◽

Author(s):

L. Di Bartolo ◽

C. Dors ◽

W.J. Mansur

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Second Order ◽

Elastic Wave Equation

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Stochastic wave field solution of the 2D elastic wave equation based on the random Fourier–Stieltjes increments

Journal of Applied Geophysics ◽

10.1016/s0926-9851(01)00060-x ◽

2001 ◽

Vol 48 (1) ◽

pp. 43-63 ◽

Cited By ~ 2

Author(s):

Jorge O. Parra ◽

Brian J. Zook

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Wave Field ◽

Elastic Wave Equation ◽

Field Solution

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Study of the Accuracy of the Multiaxial Perfectly Matched Layer for the Elastic-Wave Equation

Bulletin of the Seismological Society of America ◽

10.1785/0120120061 ◽

2012 ◽

Vol 102 (6) ◽

pp. 2458-2467 ◽

Cited By ~ 13

Author(s):

K. C. Meza-Fajardo ◽

A. S. Papageorgiou

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Perfectly Matched Layer ◽

Elastic Wave Equation

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Mode-conversion of the scattering kernel for the elastic wave equation

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/04240691 ◽

1990 ◽

Vol 42 (4) ◽

pp. 691-712

Author(s):

Mishio KAWASHITA ◽

Hideo SOGA

Keyword(s):

Wave Equation ◽

Elastic Wave ◽

Mode Conversion ◽

Elastic Wave Equation ◽

Scattering Kernel

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The one-dimensional elastic wave equation: A finite-difference formulation for animated computer applications to full waveform propagation

Computers & Geosciences ◽

10.1016/0098-3004(95)00077-1 ◽

1996 ◽

Vol 22 (3) ◽

pp. 253-266

Author(s):

R.Shawn Williams ◽

Richard D. Rechtien ◽

Neil L. Anderson

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Elastic Wave ◽

Computer Applications ◽

Elastic Wave Equation ◽

One Dimensional ◽

Full Waveform ◽

Finite Difference Formulation ◽

The One

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