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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.
Linköpings universitet. Linköpings universitet, Matematiska institutionen, Beräkningsvetenskap. Linköpings universitet, Tekniska högskolan.ORCID-id: 0000-0002-7972-6183
2011 (engelsk)Konferansepaper, Publicerat paper (Annet vitenskapelig)
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.

sted, utgiver, år, opplag, sider
Linköping: Linköping University Electronic Press , 2011. s. 1-1
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-67056OAI: oai:DiVA.org:liu-67056DiVA, id: diva2:406445
Konferanse
SIAM Conference on Mathematical Computational issues in the Geosciences March 21-24 Hilton Beach Executive Meeting Center, Long Beach, California, USA,
Merknad
PosterTilgjengelig fra: 2011-03-30 Laget: 2011-03-25 Sist oppdatert: 2013-08-30bibliografisk kontrollert

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