A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach

@inproceedings{Falc2017APG,
  title={A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach},
  author={A. Falc{\'o} and Anthony Nouy},
  year={2017}
}
The Proper Generalized Decomposition (PGD) is a methodology initially proposed for the solution of partial di erential equations (PDE) de ned in tensor product spaces. It consists in constructing a separated representation of the solution of a given PDE. In this paper we consider the mathematical analysis of this framework for a larger class of problems in an abstract setting. In particular, we introduce a generalization of Eckart and Young theorem which allows to prove the convergence of the… CONTINUE READING

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 15 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 24 references

A new family of solvers for some classes of multidimensional partial di erential equations encountered in kinetic theory modelling of complex uids

  • A. Ammar, B. Mokdad, F. Chinesta, R. Keunings
  • Journal of Non- Newtonian Fluid Mechanics,
  • 2006
Highly Influential
6 Excerpts

Similar Papers

Loading similar papers…