Modul

The topic of the lecture are numerical multiscale methods presented exemplarily for elliptic problems. Students know the basic analytical results for existence and uniqueness of the solution of multiscale problems and from homogenization theory. In addition, they know methods for the numerical approximation of multiscale and the homogenized solution. They are able to analyze the convergence of these methods and asses the pros and cons of the different approaches.

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• Analytical fundamentals (basic results from analysis for elliptic partial differential equations and from homogenization theory)
• Approximation of the homogenized solution(e.g. heterogeneous multiscale method)
• Approximation of the multiscale solution (e.g. local orthogonal decomposition)