Is the FEM error smaller away from the scatterer than near it for high-frequency Helmholtz problems with trapping?

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• Euan Spence (University of Bath)
• Tuesday 24 October 2023, 14:00-15:00
• Physics West 103.

If you have a question about this talk, please contact Sergey Sergeev.

Studying the local behaviour of the FEM error goes back to Nitsche and Schatz in 1974. This behaviour is particularly important for scattering problems, since in many applications one is interested in the behaviour of the scattered wave far away from the scatterer (as described, e.g., by the far-field pattern). However, perhaps surprisingly, the question in the title seems not to have been rigorously investigated before. We prove that the answer to the question is “yes”, with our theory backed up by numerical experiments. This is joint work with Martin Averseng (CNRS Angers) and Jeff Galkowski (UCL).

This talk is part of the Optimisation and Numerical Analysis Seminars series.

This talk is included in these lists:

• Optimisation and Numerical Analysis Seminars
• Physics West 103
• School of Mathematics events

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