CAIMS 2023

Short Talks

tost.II: A temporal operator splitting template library for deal.II

Raymond Spiteri

true  Wed, 8:45 ! Livein  Amphitheatrefor  25min

Temporal operator splitting (OS) is commonly employed as a divide-and-conquer strategy for solving differential equations, especially ordinary differential equations derived from the method of lines applied to partial differential equations. Fractional-step temporal OS methods of arbitrary order can be implemented by a simple abstract pattern. This presentation describes a simple view of the general OS pattern and presents tost.II, its concrete implementation that is based on data structures in the deal.II finite-element library. The versatility and ease-of-use of general OS methods is demonstrated through several multi-physics examples.

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