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Stable, High Order Accurate Adaptive Schemes for Long Time, Highly Intermittent Geophysics Problems
Department of Geological Science, San Diego State University, 5500 Campanile Drive, San Diego, California, 92182-1020..
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
2013 (English)Report (Other academic)
Abstract [en]

Many geophysical phenomena are characterized by properties that evolve over a wide range of scales which introduce difficulties when attempting to model these features in one computational method. We have developed a high-order finite difference method for the elastic wave equation that is able to efficiently handle varying temporal scales in a single, stand-alone framework. We apply this method to earthquake cycle models characterized by extremely long interseismic periods interspersed with abrupt, short periods of dynamic rupture. Through the use of summation-by-parts operators and weak enforcement of boundary conditions we derive a provably stable discretization. Time stepping is achieved through the implicit θ-method which allows us to take large time steps during the intermittent period between earthquakes and adapts appropriately to fully resolve rupture.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2013. , 26 p.
LiTH-MAT-R, ISSN 0348-2960 ; 10
Keyword [en]
high-order accuracy, stability, adaptive time-integration, summation-by-parts, weak boundary condition, earthquake cycle
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-98205ISRN: LiTH-MAT-R--2013/10--SEOAI: diva2:652989
Available from: 2013-10-02 Created: 2013-10-02 Last updated: 2013-10-15Bibliographically approved

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Stable, High Order Accurate Adaptive Schemes for Long Time, Highly Intermittent Geophysics Problem(769 kB)80 downloads
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Nordström, Jan
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Computational MathematicsThe Institute of Technology
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