I collect in this channel a couple of movies I did produce around the homogenization topic. They are meant to be used as individual study materials and go hand-in-hand with my distance-based course on the same topic MAAD28.
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This movie gives a number of concrete details on how one should prepare for a take-home exam in homogenization-based techniques (in the spirit of MAAD28). Essentially, a…
How to prepare for a take-home exam in…
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This movie explains briefly on how one should prepare for a take-home exam in homogenization-based techniques (in the spirit of MAAD28).
How to prepare for a take-home exam in…
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This is the continuation of the Part 1 movie about the derivation of a micro-macro problem arising in mass transfer
Derivation of a micro-macro (two-scale) problem…
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We derive swiftly a two-scale micro-macro problem arising in mass transfer. In Part 1 we make use of formal two-scale expansions, while in Part 2 we indicate how to use…
Derivation of a micro-macro (two-scale) problem…
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Symmetry and ellipticity of upscaled diffusion…
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This short movie provides a glimpse into the textbook "A Course in Homogenization-Based Techniques: Multiscale Modeling and Asymptotic Analysis"…
A Course in Homogenization-Based Techniques:…
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Two-scale convergence applied for a linear…
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This is the simplest possible homogenization calculation. This is relevant for understanding the details of the technique.
Formal homogenization of an elliptic PDE posed in…
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Formal asymptotic homogenization of a stationary…
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Mathematical representation of regular porous…
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We give the calculation details for a simple homogenization problem.
Homogenization of a 1D stationary diffusion…
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This video is part of the Homogenization course. It presents the Lax-Milgram lemma and its direct application in establishing the well-posedness of a couple of…
Lax-Milgram lemma and applications
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