Welcome!

To the website of the group of PhD students at the Weierstrass-Institute for Applied Analysis and Stochastics!

News & Info

PhD Seminar

Upcoming Talks

DateContribution
25.11.2024
Main building, room 406!
Marwa Zainelabdeen (RG 3)

Augmenting the grad-div stabilization for Taylor-Hood finite elements with a vorticity stabilization

Abstract:
We consider the linear and stationary Oseen equations, which can be viewed as an extension of the Stokes equations by adding convection and reaction terms. Finite element discretization is applied using the Taylor-Hood pair of spaces. To address the lack of pressure robustness in Taylor-Hood finite elements, the so-called grad-div stabilization is added to the discrete problem. Furthermore, the least squares vorticity stabilization (LSVS) proposed in Ahmed et al. (2020) https://doi.org/10.1137/20M1351230 for the Scott-Vogelius finite elements is incorporated for convection stabilization.

An error analysis of the stabilized scheme is presented, and convection-robust error bounds are proved. Numerical studies support the analytical results and demonstrate that the LSVS-grad-div method can lead to notable error reductions compared to the standard grad-div method. You can find the results in WIAS preprint 3055 https://doi.org/10.1515/jnma-2023-0118 for topic familiarity prior to the talk.

Important Events

PhD Lunch

The PhD lunch is still alive and happening regularly! 🌮

Every Tuesday at 12:30, you are happily invited to join us for lunch! We meet in front of the entry to the main building! 🥪

Useful Information

Buddy Sessions

As a result of the employee survey (Mitarbeiterbefragung MAB), a committee was set in place to develop appropriate measures for improving the working conditions at the institute.

One outgrowth of that was to institute a buddy group of volunteers who meet up monthly to offer a platform for discussing challenges and filling general gaps for newcomers to the WIAS.

See also:

Reform of the WissZeitVG

You may have heard through the grapevine that the infamous WissZeitVG is currently in the process of being reformed.

While some suggestions seem to actually constitute an improvement - such as the plan to mandate (within limits) three-year contracts for newly hired PhDs - other parts of it have caused quite a stir in the German academic world. Most notably, the plan is to limit the maximum post-doc employment period under fixed-term contracts to only 3 years.

This has been met with severe criticism by labor unions, some research organizations and even professors who regard this development as significant in impacting the working conditions in academia in a negative fashion.

If you are interested in reading more about the general background and recent developments, especially from an English-speaking point of view, check out the following links:

For German sources, we warmly recommend running bits of text through the DeepL Translator.


➣ Further Info ➣


Please contact us if you would like something specific to be included on the website or believe you have something to share which others could find useful!

CC BY-SA 4.0 Willem van Oosterhout and César Zarco Romero. Last modified: November 21, 2024. Website built with Franklin.jl and the Julia programming language.