Seminar in Numerical Analysis: Sébastien Imperiale (INRIA)

Local time discretisation based on transmission problem for linear wave equations: construction and analysis

In this talk we present an approach for local space-time discretisation of linear wave equations. Assuming that high order Galerkin discontinuous method or spectral finite elements are used we propose some (high order) time discretisation that can be chosen independently in each region of the domain of interest. Each time discretisation is adapted to the mesh or physics constraints. The different obtained schemes obtained are then coupled in a stable way by writing transmission conditions. A convergence analysis will be presented, it is based upon energy analysis.

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