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Lecture in SS 2016:
V5E1 - Numerical Homogenization of Partial Differential Equations
in Wegelerstr. 6, SR 5.002
- no lecture on June 14th, June 16th and June 21th
- additional lecture on Monday, June 13th, 14(c.t.)-16, Wegelerstr. 6, SR 5.002
ContentMany physical processes in microheterogeneous media such as modern composite and functional materials are described by partial differential equations (PDEs) with rough coefficients or domains with a complex microstructure. Given the complexity of these processes, the key to reliably simulate some relevant classes of such processes involves the construction of appropriate macroscopic (homogenized or effective) models.
Numerical homogenization is a multiscale method for the derivation of meaningful macroscopic models. This lecture reviews the state-of-the-art techniques for numerical homogenization (analytically and experimentally). Recent results of numerical analysis strongly support the added value of numerical homogenization when compared with classical analytical homogenization techniques, i.e., its applicability, reliability, and accuracy in the absence of strong (unrealistic) assumptions such as periodicity and scale separation.