last update: 2018-11-28

As the largest institution of research and education in Upper Austria, the Johannes Kepler University Linz has over 20,000 enrolled students and 3,000 employees. The JKU's four faculties offer over 60 academic degree programs. We announce an immediate opening for a


PhD student position (f/m)
at the Institute of Computational Mathematics

for a full time, three years at the LIT project:

Numerical simulation of incompressible non-Newtonian flows modeled by power-law Navier-Stokes systems.

Project Description

The project concerns the development of novel and efficient space-time finite element methods for non-Newtonian fluid flow models, i.e., models where the stresses have nonlinear dependence on the shear rate. The discretization of these models is of great importance since they are met in many industrial areas, e.g., chemical engineering, lubrication and biofluid mechanics. Several finite element methods combined with implicit Runge-Kutta schemes (FEM-RK) have been presented over the past years for solving these types of problems. This project will study the current FEM-RK schemes and will further investigate the development of space-time finite element methods, which help in discretizing the problem in space and in time simultaneously. In this project the fully numerical scheme will be entirely developed by following finite element discretization concept. In the main goals of this project is the construction of fast and efficient non-linear solvers for solving the non-linear system arising after the finite element space-time discretization. The working plan includes both the materialization of the algorithms (scientific programming) and the analysis of the schemes. For the materialization of the algorithms known FEM libraries will be used, e.g., Deal.II. The applicant will work with Dr I. Toulopoulos in the frame of the associated JKU- LIT-project Numerical simulation of incompressible non-Newtonian flows modeled by power-law Navier-Stokes systems.

Your Qualifications

The working language is English. The candidates should have (or expect to achieve) a master (or equivalent) degree in computational Mathematics, Scientific computing, Engineering or Physics. The candidates must have a background in computational linear algebra, numerical methods, fluid dynamics, programming skills in FEM methods.

Location - Funding -Period

The candidate will join the PhD program of the JKU Linz, Austria, see The PhD position offers excellent opportunities to work in a lively environment and collaborate with international experts in the field of applied and computational mathematics. The work is supported by the project LIT-JKU -2017-4-SEE-004. The funding is offered according to the FWF rules, 2,112.40 Euro gross salary per month, with a maximum of 30 hours/week ( The position is scheduled to start on 1/1/2019 and is for three (3) years.

Application: Applicants should provide the following information: Letter of motivation, curriculum vitae, record of their university (master) courses related to the position, and a one-page summary of their master thesis. Applicants are invited to send their materials in one single PDF file directly to email address: The deadline is 10/12/2018 or until filled. The Johannes Kepler University wishes to increase the proportion of academic female faculty and, for this reason, especially welcomes applications by qualified women. If applicants are equally qualified, a woman will be given preference for this position. The university welcomes applications from qualified applicants with physical disabilities. These applications will be given special consideration.