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

D. Krause and R. Krause

Applied Mathematics and Computation, 2016, vol. 277, issue C, 164-179

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.

Keywords: Local time stepping; Space-time adaptivity; Reaction-diffusion equations; Implicit solution schemes; Parallelization (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:277:y:2016:i:c:p:164-179

DOI: 10.1016/j.amc.2015.12.017

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