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Coupled High-Order Finite Difference and Unstructured Finite Volume Methods for Earthquake Rupture Dynamics in Complex Geometries
Department of Information Technology, Uppsala University.
Department of Geophysics, Stanford University.
Department of Geophysics, Stanford University.
Linköping University. Linköping University, Department of Mathematics, Scientific Computing. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2011 (English)Conference 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 indefficient in comparsion wiht high-order finite differences. With the use of summation-by-parts (SBP) operators and the SAT penalty method (simultaneous approximation term) it is possible to couple unstructured finite volume methods with high-order finite difference methods in an accurate and stable way. The couple method 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
Linköping: Linköping University Electronic Press , 2011. 1-1 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-67056OAI: oai:DiVA.org:liu-67056DiVA: diva2:406445
Conference
SIAM Conference on Mathematical Computational issues in the Geosciences March 21-24 Hilton Beach Executive Meeting Center, Long Beach, California, USA,
Note
PosterAvailable from: 2011-03-30 Created: 2011-03-25 Last updated: 2013-08-30Bibliographically approved

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Nordström, Jan
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Linköping UniversityScientific ComputingThe Institute of Technology
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