A review of the spectral, pseudo‐spectral, finite‐difference and finite‐element modelling techniques for geophysical imaging

J Virieux, H Calandra, RÉ Plessix - Geophysical Prospecting, 2011 - earthdoc.org
Modelling methods are nowadays at the heart of any geophysical interpretation approach.
These are heavily relied upon by imaging techniques in elastodynamics and …

[图书][B] Full seismic waveform modelling and inversion

A Fichtner - 2010 - books.google.com
Recent progress in numerical methods and computer science allows us today to simulate
the propagation of seismic waves through realistically heterogeneous Earth models with …

[图书][B] Nodal discontinuous Galerkin methods: algorithms, analysis, and applications

JS Hesthaven, T Warburton - 2007 - books.google.com
Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

[图书][B] The finite-difference modelling of earthquake motions: Waves and ruptures

P Moczo, J Kristek, M Gális - 2014 - books.google.com
Among all the numerical methods in seismology, the finite-difference (FD) technique
provides the best balance of accuracy and computational efficiency. This book offers a …

3D heterogeneous staggered-grid finite-difference modeling of seismic motion with volume harmonic and arithmetic averaging of elastic moduli and densities

P Moczo, J Kristek, V Vavrycuk… - Bulletin of the …, 2002 - pubs.geoscienceworld.org
We analyze the problem of a heterogeneous formulation of the equation of motion and
propose a new 3D fourth-order staggered-grid finite-difference (FD) scheme for modeling …

SPEED: SPectral Elements in Elastodynamics with Discontinuous Galerkin: A non‐conforming approach for 3D multi‐scale problems

I Mazzieri, M Stupazzini, R Guidotti… - … Journal for Numerical …, 2013 - Wiley Online Library
This work presents a new high performance open‐source numerical code, namely SPectral
Elements in Elastodynamics with Discontinuous Galerkin, to approach seismic wave …

An arbitrary high-order Discontinuous Galerkin method for elastic waves on unstructured meshes - V. Local time stepping and p-adaptivity

M Dumbser, M Käser, EF Toro - Geophysical Journal …, 2007 - academic.oup.com
This article describes the extension of the arbitrary high-order Discontinuous Galerkin
(ADER-DG) method to treat locally varying polynomial degress of the basis functions, so …

An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling

V Etienne, E Chaljub, J Virieux… - Geophysical Journal …, 2010 - academic.oup.com
We present a discontinuous Galerkin finite-element method (DG-FEM) formulation with
Convolutional Perfectly Matched Layer (CPML) absorbing boundary condition for 3-D elastic …

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

JD De Basabe, MK Sen - Geophysics, 2007 - library.seg.org
Purely numerical methods based on finite-element approximation of the acoustic or elastic
wave equation are becoming increasingly popular for the generation of synthetic …

Extreme scale multi-physics simulations of the tsunamigenic 2004 sumatra megathrust earthquake

C Uphoff, S Rettenberger, M Bader… - Proceedings of the …, 2017 - dl.acm.org
We present a high-resolution simulation of the 2004 Sumatra-Andaman earthquake,
including non-linear frictional failure on a megathrustsplay fault system. Our method exploits …