Operator Preconditioning and Some Recent Developments for Boundary Integral Equations

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• Carolina Urzua Torres (University of Oxford)
• Wednesday 12 February 2020, 12:00-13:00
• Physics West 103.

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

In this talk, I will give an introduction to operator preconditioning as a general and robust strategy to precondition linear systems arising from Galerkin discretization of PDEs or boundary integral equations. Then, in order to illustrate the applicability of this preconditioning technique, I will discuss the simple case of weakly singular and hypersingular integral equations, arising from exterior Dirichlet and Neumann BVPs for the Laplacian in 3D. Finally, I will show how we can also tackle operators with a more difficult structure, like the electric field integral equation (EFIE) on screens, which models the scattering of time-harmonic electromagnetic waves at perfectly conducting bounded infinitely thin objects, like patch antennas in 3D.

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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