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Enabling local time stepping in the parallel implicit solution of reaction–diffusion equations via space-time finite elements on shallow tree meshes

Author

Listed:
  • Krause, D.
  • Krause, R.

Abstract

For many applications, local time stepping offers an interesting and worthwhile alternative to the by now well established global time step control. In fact, local time stepping can allow for a highly detailed resolution of localized features of the solution with strongly reduced computational cost, when compared to global time step control. However local time stepping is not applicable in a straight-forward manner in the context of fully implicit time-discretizations.

Suggested Citation

  • Krause, D. & Krause, R., 2016. "Enabling local time stepping in the parallel implicit solution of reaction–diffusion equations via space-time finite elements on shallow tree meshes," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 164-179.
    • Handle: RePEc:eee:apmaco:v:277:y:2016:i:c:p:164-179
    DOI: 10.1016/j.amc.2015.12.017
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