Doctoral Researcher (f/m/d – 75 %) for the CRC 1173 doctoral thesis project “Numerical analysis of...

The Collaborative Research Center “Wave phenomena – analysis and numerics” (CRC 1173), is currently seeking to recruit, as soon as possible, limited to three years, a

The CRC has been funded by the German Research Foundation (DFG) since 2015. Its goal is to analytically understand, numerically simulate, and eventually manipulate wave propagation under realistic scenarios by intertwining analysis and numerics.

Nowadays a lot of new materials are artificially constructed and tailored to exhibit astonishing physical properties. These metamaterials are characterized by fine structures of different material components. Within mathematical models, this leads to partial differential equations with a coexistence of multiple spatial scales. However, standard numerical methods need to resolve all fine scales and thus have a prohibitive computational effort. Numerical multiscale methods in turn decompose the solution into a macroscopic and a fine-scale contribution allowing for an efficient approximation of the macroscopic solution on coarse meshes. In the project “Numerical analysis of multiscale methods (https://www.waves.kit.edu/AP5.php ), we develop such schemes and prove a priori estimates for the discretization error. A main objective of this project is to develop and analyze multiscale methods for problems with nonlinearities, random perturbations, or multiscale dynamics.

We seek for an ambitious doctoral researcher with an interest in numerical methods for partial differential equations. You will study numerical (finite element based) multiscale methods and learn about their application to wave propagation and nonlinear problems. You will have the opportunity to attend conferences, workshops, and summer schools. Engagement in teaching is encouraged.

We provide an inspiring, attractive, interdisciplinary, and internationally recognized scientific environment with access to excellent facilities of the KIT, a wide scope of advanced training options within our integrated research training group, and flexible working time models. Our CRC aims at the implementation of equal opportunities, it promotes diversity and supports persons with childcare or eldercare responsibilities as well as persons with disabilities. Funds for travel and guests are available through the CRC.