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course list >> Naturwissenschaftliche Fakultät (Nat) >> Computational and Applied Mathematics, Data Science, Mathematik, Technomathematik, Wirtschaftsmathematik >> Masterstudiengang Wirtschaftsmathematik >>
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Course Directory
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Mathematics of Multiscale Models -
- Lecturer:
- Nicolas Neuß
- Details:
- Vorlesung, 2 cred.h
- Dates:
- to be determined
- Fields of study:
- WF WM-MA ab 1
- Prerequisites / Organisational information:
- Prerequisites: Basic knowledge in numerical methods and partial differential equations
Organisation: Please register in Studon at
https://www.studon.fau.de/crs3630882_join.html
- Contents:
- Multiscale problems (fluid flows in porous media, heat transfer in composite materials).
Development of macroscale models using averaging techniques (homogenization, volume averaging, numerical upscaling).
Numerical methods for multiscale problems in space and time (multiscale finite elements, multiscale finite volumes, multipoint flux approximation, two-grid methods, time-splitting schemes).
- Recommended literature:
- J.-L. Auriault, C. Boutin, C. Geindreau, Homogenization of Coupled Phenomena in Heterogenous Media, 2009
U. Hornung, Homogenization and Porous Media, 1996.
W. E, Principles of Multiscale Modeling, 2011.
Y. Efendiev, T. Hou, Multiscale Finite Element Methods: Theory and Applications, 2009.
B. Smith, P. Bjorstad, W. Gropp, Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations, 2004.
S. Whitaker, The Method of Volume Averaging, 1999.
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