Abstract
The transfer of information between non-matching meshes is an important ingredient for coupled multi-physics simulations. For most coupled problems information, such as displacements or stresses, has to be exchanged between, two different meshes. As an example consider fluid-structure interaction (FSI) problem, where information has to be transferred between a fluid and an elastic body (the "S"tructure in FSI).
As it turns out, the design of a stable transfer operator between, e.g., the fluid mesh and the structure mesh, is far from trivial, as unwanted effects such as spurious modes can arise. As a consequence, standard interpolation techniques are often not sufficient. We discuss the difficulties related to straight forward approaches as interpolation and motivate and present as a stable alternative, the so called variational transfer.
Brief Biography
Prof. Rolf Krause's research focuses on numerical simulation, machine learning, optimization, and data driven approaches. The complexity of real world applications constitutes a challenge for model and data based prediction, turning the development of models and of solution methods into a challenging task. In addition to a well balanced combination of methodological and mathematical knowledge, it also requires experience in dealing with subtle aspects of the implementation.