Summary
We discuss different concepts for the construction of transfer operators with regard to the application of multigrid methods to an efficient solving of strongly heterogeneous linear—elastic materials. The key contribution is a new physically motivated approach. In order to take into account the influence of the heterogeneity the idea is to perform a numerical homogenization within a characteristic subdomain. This subdomain is assumed to be resolved by a local finite element discretization. The efficiency of the new approach is demonstrated by means of some fundamental model problems and compared with existing methods.
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Bayreuther, C.G., Miehe, C., Schröder, J. (2000). Aspects of Homogenization Techniques and Multigrid Solving. In: Sändig, AM., Schiehlen, W., Wendland, W.L. (eds) Multifield Problems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04015-7_10
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DOI: https://doi.org/10.1007/978-3-662-04015-7_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08693-9
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