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Finite Element Method

The Finite Element Method (FEM) is known as one of the most powerful and the state-of-art methods in numerical analysis for solving complex differential algebraic equation systems (DAE). In our group we use an FEM framework (in 1D/2D) in MATLAB based on OOPDE to simulate inhomogeneous and non-smooth multi-physics systems. It allows the calculation of mass fluxes on the one hand and the analysis of nonlinear interactions within and between different phases (gas, porous media and solids). Thereby, we combine theory (FactSage) with our experimental expertise and aim to model and mathematically optimize whole systems of batteries or fuel cells. We are especially focused on object-oriented programming to achieve the best possible reusability and comprehensibility.

Oxidation of iron particles under water vapor / hydrogen atmosphere (in ratio of 7:4) after 360 seconds, modelled via parabolic time law.Oxidation of iron particles under water vapor / hydrogen atmosphere (in ratio of 7:4) after 360 seconds, modelled via parabolic time law.

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