High-performance model reduction techniques in computational multiscale homogenization

@inproceedings{Hernndez2014HighperformanceMR,
  title={High-performance model reduction techniques in computational multiscale homogenization},
  author={Juan Antonio Hern{\'a}ndez and Jack Oliver and A. E. Huespe and Miguel Andres Caicedo and Juan Carlos Cante},
  year={2014}
}
A novel model-order reduction technique for the solution of the fine-scale equilibrium problem appearing in computational homogenization is presented. The reduced set of empirical shape functions is obtained using a partitioned version —that accounts for the elastic/inelastic character of the solution— of the Proper Orthogonal Decomposition (POD). On the other hand, it is shown that the standard approach of replacing the nonaffine term by an interpolant constructed using only POD modes leads to… CONTINUE READING

Citations

Publications citing this paper.
Showing 1-10 of 16 extracted citations

Effective potentials in nonlinear polycrystals and quadrature formulae.

Proceedings. Mathematical, physical, and engineering sciences • 2017
View 1 Excerpt

References

Publications referenced by this paper.
Showing 1-10 of 55 references

Handbook of linear algebra

L. Hogben
2006
View 12 Excerpts
Highly Influenced

A pgdbased homogenization technique for the resolution of nonlinear multiscale problems

M. Cremonesi, D. Néron, Guidault, P.-A, P. Ladevèze
Computer Methods in Applied Mechanics and Engineering • 2013
View 1 Excerpt

A low-cost, goal-oriented compact proper orthogonal decompositionbasis for model reduction of static systems

K. Carlberg, C. Farhat
International Journal for Numerical Methods in Engineering • 2011
View 1 Excerpt

Efficient non-linear model reduction via a least-squares petrov–galerkin projection and compressive tensor approximations

K. Carlberg, C. Bou-Mosleh, C. Farhat
International Journal for Numerical Methods in Engineering • 2011
View 1 Excerpt

Similar Papers

Loading similar papers…