Nonlinear Reduced Models for Parametric/Random PDEs

Nonlinear Reduced Models for Parametric/Random PDEs

Fields Institute via YouTube Direct link

Intro

1 of 18

1 of 18

Intro

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Nonlinear Reduced Models for Parametric/Random PDEs

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  1. 1 Intro
  2. 2 Motivational example
  3. 3 Introduction
  4. 4 Outline
  5. 5 Linear reduced models
  6. 6 Performance of a reduced model
  7. 7 Model problem
  8. 8 Diffusion coefficient
  9. 9 Global error estimate
  10. 10 Construction of a library general idea
  11. 11 Type of partitions
  12. 12 Local error estimate
  13. 13 Upper bound on the size of the library
  14. 14 Specific sequence: polynomial growth
  15. 15 Numerical example: thermal block
  16. 16 Numerical example l: multi cells
  17. 17 Numerical example II: state estimation
  18. 18 Numerical example II: one cell

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