liu.seSearch for publications in DiVA
Change search
ReferencesLink to record
Permanent link

Direct link
Interaction of waves with frictional interfaces using summation-by-parts difference operators II: Extension to full elastodynamics
Department of Geophysics, Stanford University, Stanford, USA.
Department of Geophysics, Stanford University, Stanford, USA.
Uppsala universitet, Avdelningen för teknisk databehandling.ORCID iD: 0000-0002-7972-6183
2010 (English)Report (Other academic)
Abstract [en]

Problems in elastodynamics with nonlinear boundary conditions, such as those arising when modeling earthquake rupture propagation along internal interfaces (faults) governed by nonlinear friction laws, are inherently boundary driven. For such problems, stable and accurate enforcement of boundary conditions is essential for obtaining globally accurate numerical solutions (and predictions of ground motion in earthquake simulations). High-order finite difference methods are a natural choice for problems like these involving wave propagation, but enforcement of boundary conditions is complicated by the fact that the stencil must transition to one-sided near the boundary.

In this work we develop a high-order method for tensor elasticity with faults whose strength is a nonlinear function of sliding velocity and a set of internal state variables obeying differential evolution equations (a mathematical framework known as rate-and-state friction). The method is based on summation-by-parts finite difference operators and weak enforcement of boundary conditions using the simultaneous approximation term method. We prove that the method is strictly stable and dissipates energy at a slightly faster rate than the continuous solution (with the difference in energy dissipation rates vanishing as the mesh is refined)

Place, publisher, year, edition, pages
2010. , 36 p.
Technical report / Department of Information Technology, Uppsala University, ISSN 1404-3203 ; 2010:018
National Category
Computational Mathematics Computer Science
URN: urn:nbn:se:liu:diva-68558OAI: diva2:418784
Available from: 2010-07-05 Created: 2011-05-24 Last updated: 2013-08-30Bibliographically approved

Open Access in DiVA

No full text

Other links

Search in DiVA

By author/editor
Nordström, Jan
Computational MathematicsComputer Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 51 hits
ReferencesLink to record
Permanent link

Direct link