Error Analysis of a Variational Multiscale Stabilization for Convection-Dominated Diffusion Equations in 2D

Error Analysis of a Variational Multiscale Stabilization for Convection-Dominated Diffusion Equations in 2D

Hausdorff Center for Mathematics via YouTube Direct link

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1 of 18

Overview

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Error Analysis of a Variational Multiscale Stabilization for Convection-Dominated Diffusion Equations in 2D

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  1. 1 Overview
  2. 2 Background
  3. 3 Motivation
  4. 4 Brief literature on multiscale methods
  5. 5 Upper bounds in V and Vb
  6. 6 Spectral gap under certain assumption
  7. 7 Conformal Galerkin approximation
  8. 8 Performance of the Galerkin approximation
  9. 9 State of art methods
  10. 10 Nodal interpolation based VMS
  11. 11 An illustration of multiscale test bases
  12. 12 Impact of the choice of interpolation operators
  13. 13 Element patches
  14. 14 Element correctors and localized multiscale bases
  15. 15 An illustration of the localized multiscale test bases
  16. 16 Localized VMS for the model problem
  17. 17 Numerical simulation
  18. 18 Conclusion 2

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