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

By Michael Dumbser, Martin Käser, Eleuterio F. Toro. 2007

300 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/879952b647e168eba32749a605b8aa38aee0314c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Michael Dumbser
2. Eleuterio F. Toro
3. Claus-Dieter Munz
4. Dinshaw S. Balsara
5. Qinya Liu
6. Yu Jeffrey Gu
7. Chi-Wang Shu
8. P. Moczo

In Electrical and Electronic Engineering

1. Qinya Liu
2. Yu Jeffrey Gu
3. P. Moczo
4. Michael Dumbser
5. M. Galis
6. N. Glinsky
7. V. Etienne
8. Jean Virieux

Citations in the corpus

• An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling (2010, background): “We should mention here a more elaborate approach with local time stepping (Dumbser et al. 2007) that allows for elements to have their own time step independent of the others.”
• Multiscale full waveform inversion (2013, unknown): “An alternative approach could be the use of local time substep-ping methods that have been developed for a variety of numerical schemes (Tessmer 2000; Kang & Baag 2004; Dumbser et al. 2007; Madec et al. 2009).”
• 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): “…C© 2011 RAS Downloaded from https://academic.oup.com/gji/article-abstract/187/3/1645/617234 by guest on 27 July 2018 Käser 2006; Käser & Dumbser 2006; Dumbser et al. 2007; Käser et al. 2007, 2008; de la Puente et al. 2007, 2008; De Basabe et al. 2008; de la Puente 2008; Delcourte et al. 2009).”
• 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).”
• A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes (2008, methodology): “Another future topic of research will be the generalization of the time-accurate local time stepping approach to PNPM schemes, as introduced for ADER-DG schemes on unstructured tetrahedral meshes in three space dimensions in [30] and as also used in the STE-DG approach for compressible Euler and Nav”