# Math, Data Science and more…

A blog about mathematics, machine learning and data science.

# Selected Publications

### Analysis of the $hp$-version of a first order system least squares method for the Helmholtz equation

Extending the wavenumber-explicit analysis of [Chen & Qiu, J. Comput. Appl. Math. 309 (2017)], we analyze the $L^2$-convergence of a least squares method for the Helmholtz equation with wavenumber $k$. For domains with an analytic boundary, we obtain improved rates in the mesh size $h$ and the polynomial degree $p$ under the scale resolution condition that $hk/p$ is sufficiently small and $p / \log k$ is sufficiently large.
to appear in Advanced Finite Element Methods with Applications - Proceedings of the 30th Chemnitz FEM Symposium 2017, 2018.

# Recent Publications

. Analysis of the $hp$-version of a first order system least squares method for the Helmholtz equation. to appear in Advanced Finite Element Methods with Applications - Proceedings of the 30th Chemnitz FEM Symposium 2017, 2018.

# Projects

#### Wave propagation

Theoretical and computational aspects of time-harmonic wave propagation.

# Teaching

Current teaching:

Past teaching:

• 2018 SS: Exercise Analysis 2
• 2017 WS: Exercise Analysis 1
• 2016 SS: Exercise Computer Mathematics
• 2015 SS: Exercise Computer Mathematics

Some good online resources in no specific order: