An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes — II. The three-dimensional isotropic case

By Michael Dumbser, Martin Käser. 2006

498 citations recorded by the source corpus.

Subfields: Computational Mechanics, Geophysics

View Paper: https://www.semanticscholar.org/paper/0af378026ced2a1d54406fb1c63d3ea403c44cb2

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Citations in the corpus

Stable Grid Refinement and Singular Source Discretization for Seismic Wave Simulations (2009, methodology): “The composite grid discretization developed here, together with the generalization of the method to curvilinear grids [2], which enables accurate modeling of free surfaces on realistic (nonplanar) topography, makes the finite difference method a very attractive alternative to the recently developed ”
Full seismic waveform tomography for upper-mantle structure in the Australasian region using adjoint methods (2009, methodology): “These methods include, but are not limited to, finite-difference schemes (e.g. Igel et al. 2002; Kristek & Moczo 2003), their optimal operator variants (e.g. Takeuchi & Geller 2000) and discontinuous Galerkin methods (e.g. Dumbser & Käser 2006).”
Seismic imaging: From classical to adjoint tomography (2012, methodology): “Discontinuous Gerlekin (DG) methods also gained popularity in seismology in recent years (e.g., Castro and Käser, 2010; Dumbser and Käser, 2006; Hermann et al., 2010; Käser and Dumbser, 2006).”
Forward and adjoint simulations of seismic wave propagation on fully unstructured hexahedral meshes (2011, background): “…et al. 2000; Giraldo et al. 2002; Riviére & Wheeler 2003; Monk & Richter 2005; Grote et al. 2006; Ainsworth et al. 2006; Bernacki et al. 2006; Dumbser & Käser 2006; De Basabe et al. 2008; de la Puente et al. 2009; Wilcox et al. 2010; De Basabe & Sen 2010; Etienne et al. 2010), with…”
A support-operator method for viscoelastic wave modelling in 3-D heterogeneous media (2008, methodology): “…examples, Aagaard (1999) used the finite-element method (FEM) on tetrahe- dral meshes; Oglesby (1999), and Oglesby et al. (2000) employed FEM on hexahedral meshes; Komatitsch & Tromp (1999) used the spectral element method and Dumbser & Kas̈er (2006) used a highorder discontinuous Galerkin method.”
An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - IV. Anisotropy (2007, methodology): “For a thorough investigation of the linear stability properties of the ADER-DG schemes via a von Neumann analysis see (Dumbser 2005).”
An unsplit convolutional perfectly matched layer improved at grazing incidence for the seismic wave equation (2007, background): “More recently, discontinuous Galerkin formulations have also been usede.g., Dumbser and Kaser, 2006 .”
An overview of full-waveform inversion in exploration geophysics (2009, background): “This is especially true when accurate boundary conditions through unstructured meshes must be implemented (cid:1) e.g., Komatitsch and Vilotte, 1998; Dumbser and Kaser, 2006 (cid:2) .”