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Journal of Scientific Computing

, Volume 30, Issue 3, pp 493–531 | Cite as

Fully Adaptive Multiscale Schemes for Conservation Laws Employing Locally Varying Time Stepping

  • Siegfried MüllerEmail author
  • Youssef Stiriba
Article

Abstract

In recent years the concept of fully adaptive multiscale finite volume schemes for conservation laws has been developed and analytically investigated. Here the grid adaptation is performed by means of a multiscale analysis. So far, all cells are evolved in time using the same time step size. In the present work this concept is extended incorporating locally varying time stepping. A general strategy is presented for explicit as well as implicit time discretization. The efficiency and the accuracy of the proposed concept is verified numerically.

Keywords

Multiscale techniques local grid refinement locally varying time stepping finite volume schemes conservation laws 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Institut für Geometrie und Praktische MathematikRWTH AachenAachenGermany
  2. 2.Departament Enginyeria MecànicaUniversitat “Rovira i Virgili” - ETSEQTarragonaSpain

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