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RApp: Rational approximation as an effective tool for tackling practical problems Location: D301 Session Chair: Jan Heiland Session Chair: Ion Victor Gosea | |
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Towards rational interpolation for wave propagation in damaged materials Technische Universität Braunschweig, Germany The motivation for our work comes from damage identification using guided ultrasonic wave propagation. By analyzing the refelction patterns caused by defects, the aim is to localize and characterize a damage. Such wave propagation can be described by a second order mechanical system. Solving the corresponding inverse problem involves a huge number of forward simulations which can be prohibitively expensive. Therefore, we look for surrogate models that are sufficiently accurate and cheaper to solve. It is well-known that projection-based model reduction such as e.g. classical POD are challenged in this setting due to the Kolmogorov barrier and stability issues need to be considered. In this work, we present a comparative study of intrusive and non-intrusive reduction approaches and take first steps towards the application of rational interpolation based reduced models to our application problem. | |
