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Grid dispersion and stability criteria of some common finite-difference and finite-element methods for acoustic and elastic wave propagation

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/nme.1620180103openalex-snapshot

Dispersion analysis of finite element semidiscretizations of the two‐dimensional wave equation

inferredcites →https://doi.org/10.1007/978-3-662-04823-8openalex-snapshot

Higher-Order Numerical Methods for Transient Wave Equations

inferredcites →https://doi.org/10.1016/b978-0-12-460811-5.50009-xopenalex-snapshot

A Finite Element Method for Seismology

inferredcites →https://doi.org/10.1023/a:1022112620994openalex-snapshot

Stability and Grid Dispersion of the P-SV 4th-Order Staggered-Grid Finite-Difference Schemes

inferredcites →https://doi.org/10.1046/j.1365-246x.1999.00967.xopenalex-snapshot

Introduction to the spectral element method for three-dimensional seismic wave propagation

inferredcites →https://doi.org/10.1115/1.1497470openalex-snapshot

Higher-Order Numerical Methods for Transient Wave Equations. Scientific Computation

inferredcites →https://doi.org/10.1190/1.1440470openalex-snapshot

Accuracy of finite-difference modeling of the acoustic wave equation

inferredcites →https://doi.org/10.1190/1.1440605openalex-snapshot

Synthetic seismograms; a finite-difference approach

inferredcites →https://doi.org/10.1190/1.1441689openalex-snapshot

Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave equations

inferredcites →https://doi.org/10.1190/1.1442147openalex-snapshot

P-SV wave propagation in heterogeneous media; velocity-stress finite-difference method

inferredcites →https://doi.org/10.1785/bssa0590010471openalex-snapshot

Propagation of Elastic Waves in layered media by finite difference methods

inferredcites →https://doi.org/10.1785/bssa0660030639openalex-snapshot

Dynamics of an expanding circular fault

inferredcites →https://doi.org/10.1785/bssa0880020368openalex-snapshot

The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4669732openalex-extracted

inferred← citeshttps://doi.org/10.1007/s11589-009-0479-2openalex-snapshot

Stability condition of finite difference solution for viscoelastic wave equations

inferred← citeshttps://doi.org/10.1016/j.wavemoti.2007.11.007openalex-snapshot

Dispersion analysis of spectral element methods for elastic wave propagation

inferred← citeshttps://doi.org/10.1016/j.wavemoti.2008.08.005openalex-snapshot

Comment on “Dispersion analysis of spectral element methods for elastic wave propagation” by G. Seriani and S.P. Oliveira

inferred← citeshttps://doi.org/10.1016/j.wavemoti.2024.103328openalex-snapshot

A Time-Domain Spectral Finite Element Method for Acoustoelasticity: Modeling the Effect of Mechanical Loading on Guided Wave Propagation

inferred← citeshttps://doi.org/10.24352/ub.ovgu-2017-053openalex-snapshot

Wave Propagation Analysis using High-Order Finite Element Methods: Spurious Oscillations excited by Internal Element Eigenfrequencies

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