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Dynamic Rupture Modelling on Unstructured Meshes Using a Discontinuous Galerkin Method

Pelties, Christian, and Martin Käser (2011), Dynamic Rupture Modelling on Unstructured Meshes Using a Discontinuous Galerkin Method, in Computational Methods in Structural Dynamics and Earthquake Engineering, edited by M. Papadrakakis, M. Fragiadakis and V. Plevris, pp. 3201-3209, ECCOMAS Thematic Conference - COMPDYN 2011: 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering: An IACM Special Interest Conference, Proceedings, ISBN: 978-960-99994-1-0.

Abstract
We will present recent developments concerning the extensions of the ADERDG
method to solve three dimensional dynamic rupture problems on unstructured tetrahedral
meshes. A remarkable feature of this method is the combination of the DG scheme and a time
integration method using Arbitrarily high-order DERivatives (ADER) to provide high accuracy
in space and time with the discretization on unstructured meshes. In the resulting discrete
velocity-stress formulation of the elastic wave equations variables are naturally discontinuous
at the interfaces between elements. The so-called Riemann problem can then be solved to obtain
well-defined values of the variables at the discontinuity itself. This is in particular valid for the
fault at which a given friction law has to be evaluated. Hence, the fault’s geometry is honored
by the computational mesh. This way, complex fault planes can be modeled adequately with
small elements while fast mesh coarsening is possible with increasing distance from the fault.
A further advantage of the scheme is that it avoids spurious high-frequency contributions in the
slip rate spectra and therefore does not require artificial Kelvin-Voigt damping or filtering of
synthetic seismograms.
BibTeX
@incollection{id1757,
  author = {Christian Pelties and Martin K{\"a}ser},
  booktitle = {Computational Methods in Structural Dynamics and Earthquake Engineering},
  editor = {M. Papadrakakis and M. Fragiadakis and V. Plevris},
  pages = {3201-3209},
  publisher = {ECCOMAS Thematic Conference - COMPDYN 2011: 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering: An IACM Special Interest Conference, Proceedings},
  title = {{Dynamic Rupture Modelling on Unstructured Meshes Using a Discontinuous Galerkin Method}},
  year = {2011},
  isbn = {978-960-99994-1-0},
}
EndNote
%0 Book Section
%A Pelties, Christian
%A Käser, Martin
%E Papadrakakis, M.
%E Fragiadakis, M.
%E Plevris, V.
%D 2011
%P 3201-3209
%T Dynamic Rupture Modelling on Unstructured Meshes Using a Discontinuous Galerkin Method
%@ 978-960-99994-1-0
%B Computational Methods in Structural Dynamics and Earthquake Engineering
%I ECCOMAS Thematic Conference - COMPDYN 2011: 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering: An IACM Special Interest Conference, Proceedings
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Printed 20. Jul 2018 12:24