Computational Mechanics is certainly one of the most developed Computational Sciences. On the one hand, there is a growing complexity of pure mechanical models (complicated material behavior, large deformations, friction in solid and structural mechanics, turbulence modeling in fluid mechanics etc.) requiring a fundamental mathematical analysis as well as new and more efficient numerical methods. The efficient handling of model identification problems (e.g. the yield surface in plasticity), optimal control problems, shape, topology, material optimization etc. is not only an important research topic, but also very important for practical applications. On the other hand, there are a lot of new applications where mechanical fields are interacting with other fields leading to coupled or multifield problems such as Magnetomechanics and Piezoelectrics. Fluid-Solid-Interaction (FSI) problems are also problems of that type. These problems are far less studied in the mechanical as well as in the mathematical community. The modeling, the mathematical analysis and the numerical solution of such problems usually require knowledge from different fields and disciplines.
This special semester gave the opportunity to bring together mathematicians with the corresponding people working in mechanics, electrical engineering etc. Finally, computational mechanics play a growing role in life sciences such as Computational Biology (Biomechanics), Computational Medicine (see talk by Prof. Deuflhard at RICAM opening), and Environmental Sciences (especially fluid mechanics).
The main goals of the Special Radon Semester on Computational Mechanics were the following ones:
- Development and analysis of new discretization and solver techniques for mechanical problems of high complexity
- Interaction of direct and inverse computational techniques
- Promotion of new computational techniques for scientific and industrial applications (CM Challenges Day)
- Intensive training of young researchers, in particular PhD students and Postdocs working at ÖAW institutes, research centers and universities
- Design and discussion of new generation problem solver environments
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