Axel Målqvist - Localization of Multiscale Problems

Axel Målqvist - Localization of Multiscale Problems

Hausdorff Center for Mathematics via YouTube Direct link

Orthogonalization

5 of 16

5 of 16

Orthogonalization

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Axel Målqvist - Localization of Multiscale Problems

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  1. 1 Intro
  2. 2 Outline
  3. 3 Elliptic model problem
  4. 4 Multiscale decomposition
  5. 5 Orthogonalization
  6. 6 Ideal multiscale representation
  7. 7 Fine scale discretization
  8. 8 A priori error analysis
  9. 9 3D implementation in python
  10. 10 High contrast data Poisson equation
  11. 11 Scott-Zhang type interpolation Nodal variables
  12. 12 Geometry dependent interpolation Selection of cry
  13. 13 Numerical example: eigenvalues
  14. 14 Parabolic equations
  15. 15 Numerical experiment: The heat equation
  16. 16 Conclusion

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