Seminar in Numerical Analysis: Stefan Sauter (Universität Zürich)

Wavenumber-Explicit Analysis for High-Frequency Maxwell Equations

In our talk we consider the Maxwell equations in the frequency domain, discretized by Nédélec-hp-finite elements. We develop a stability and convergence analysis which is explicit with respect to the wave number k, the mesh size h, and the local polynomial degree p. It turns out that, for the choice p>=log(k) , the discretization does not suffer from the so-called pollution effect. This is known for high-frequency acoustic scattering. However, the analysis of Maxwell equations requires the development of twelve additional theoretical tools which we call "the twelve apostels". In our talk, we explain these "apostels" and how they are needed to prove the stability and convergence of our method.

This talk comprises joint work with Prof. Markus Melenk, TU Wien.

For further information about the seminar, please visit this <link de forschung mathematik seminar-in-numerical-analysis internal link in current>webpage.

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