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High-order finite difference methods for eartquake rupture dynamics in complex geometries
Department of Information Technology, Uppsala University.
Department of Geophysics, Stanford University.
Department of Geophysics, Stanford University.
Linköping University, Department of Mathematics, Scientific Computing. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2010 (English)Conference paper, Published paper (Other academic)
Abstract [en]

Unstructured grid methods are well suited for earthquake problems in complex geometries, such as non-planar and branching faults. Unfortunately they are inefficient in comparisioin with high-order finite difference. With the use of summertion-by-parts (SBP) operators and the SAT penalty method (simultaneous approximation term) it is possible to couple unstructuren finite volume methods wiht high order finite difference methods in an accurate and stable way. The coupled methods is more efficient than the unstructured method alone. Another advantage of the SBP and SAT method is that it is possible to prove strict stability, meaning that the semi-discrete solution dissipates energy at a slightly faster rate than the continuous solution so that the error remains bounded in time, which is particulary useful for long time computations.

Place, publisher, year, edition, pages
2010. 1-1 p.
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-67133OAI: diva2:407758
2010 AGU Fall Meeting, 13–17 December, San Francisco, California, USA
PosterAvailable from: 2011-04-06 Created: 2011-03-31 Last updated: 2013-08-30Bibliographically approved

Open Access in DiVA

fulltext(1471 kB)