Implicit Euler simulation of one-dimensional Burridge-Knopoff model of earthquakes with set-valued friction laws

DOI10.1007/S10444-014-9398-4zbMath1350.49044OpenAlexW2088872643MaRDI QIDQ269186

Ryo Kikuuwe, Xiaogang Xiong, Motoji Yamamoto

Publication date: 18 April 2016

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-014-9398-4

zbMATH Keywords

earthquakescomputational seismologyBurridge-Knopoff modelimplicit Euler simulationset-valued friction lawssliding mode system

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Seismology (including tsunami modeling), earthquakes (86A15) Ordinary differential inclusions (34A60)

Related Items (1)

Solitary waves in the excitable Burridge-Knopoff model

Uses Software

• PATH Solver

Cites Work

• Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
• Dynamics and bifurcations of non-smooth mechanical systems
• Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems
• Evolution problem associated with a moving convex set in Hilbert space
• Numerical aspects of the sweeping process
• A differential algebraic method to approximate nonsmooth mechanical systems by ordinary differential equations
• On preserving dissipativity properties of linear complementarity dynamical systems with the \(\theta\)-method
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• On the equivalence between complementarity systems, projected systems and differential inclusions
• Numerical precision for differential inclusions with uniqueness
• Single state elastoplastic friction models

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