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

By Jonas D. De Basabe, Mrinal K. Sen. 2007

197 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/79b54230402c7177a64612e1e46e66f9f15c214f

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Citations in the corpus

High-order finite-element seismic wave propagation modeling with MPI on a large GPU cluster (2010, methodology): “The main reason why GPUs outperform CPUs significantly on many workloads is that the architecture design favors the throughput of many data-parallel tasks over the latency of single threads.”
Forward and adjoint simulations of seismic wave propagation on fully unstructured hexahedral meshes (2011, methodology): “The method has very good accuracy and convergence properties, such as a spectral rate of convergence (Canuto et al. 1988; Maday & Patera 1989; Seriani & Priolo 1994; Deville et al. 2002; Cohen 2002; De Basabe & Sen 2007; Seriani & Oliveira 2008).”
3‐D finite‐difference, finite‐element, discontinuous‐Galerkin and spectral‐element schemes analysed for their accuracy with respect to P‐wave to S‐wave speed ratio (2011, background): “This range of values allows benefiting from the low level of numerical dispersion of the spectral methods (De Basabe & Sen 2007; Seriani & Oliveira 2008) while preventing the use of too severe CFL constraints (due to the quadratic stretching of the grid points near the element edges).”
Spectral-element simulations of wave propagation in porous media: Finite-frequency sensitivity kernels based upon adjoint methods (2008, methodology): “As a result, the SEM retains the ability of a FEM to handle complex geometries while keeping the strength of exponential convergence and accuracy resulting from the use of high-degree polynomials (e.g. Chaljub et al. 2007; De Basabe & Sen 2007).”
Seismic modeling by optimizing regularized staggered-grid finite-difference operators using a time-space-domain dispersion-relationship-preserving method (2014, methodology): “These methods also constitute the basis for reversetime migration and full-waveform inversion (Alford et al., 1974; Kelley et al., 1976; Alkhalifah, 2000; Basabe and Sen, 2007; Yang et al., 2012).”
An implicit staggered‐grid finite‐difference method for seismic modelling (2009, methodology): “Although the FE methods based on spectral element (e.g. Komatitsch & Vilotte 1998; De Basabe & Sen 2007) and discontinuous Galerkin (e.g. Rivière & Wheeler 2003; Käser & Dumbser 2006; De Basabe et al. 2008) methods are being investigated aggressively by the seismological community, FD-based…”
Simulation Methods for Guided Wave-Based Structural Health Monitoring: A Review (2015, background): “De Basabe and Sen made an important contribution to the field of wave propagation analysis concluding that the dispersion results gathered for the acoustic wave propagation can be easily transferred to the elastic case [46].”