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Stable, high order ...
Stable, high order accurate adaptive schemes for long time, highly intermittent geophysics problems
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- Erickson, Brittany A. (författare)
- Department of Geological Sciences, San Diego State University, San Diego, CA 92182-1020, USA
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- Nordström, Jan (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska högskolan
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(creator_code:org_t)
- Elsevier, 2014
- 2014
- Engelska.
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Ingår i: Journal of Computational and Applied Mathematics. - : Elsevier. - 0377-0427 .- 1879-1778. ; 271, s. 328-338
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Abstract
Ämnesord
Stäng
- 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 and spatial 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 θθ-method which allows us to take large time steps during the intermittent period between earthquakes and adapts appropriately to fully resolve rupture.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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