University of Birmingham > Talks@bham > Optimisation and Numerical Analysis Seminars > Operator Preconditioning and Some Recent Developments for Boundary Integral Equations

Operator Preconditioning and Some Recent Developments for Boundary Integral Equations

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  • UserCarolina Urzua Torres (University of Oxford)
  • ClockWednesday 12 February 2020, 12:00-13:00
  • HousePhysics 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.

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