Proper Generalized Decomposition of a geometrically parametrized heat problem with geophysical applications

@inproceedings{Zlotnik2015ProperGD,
  title={Proper Generalized Decomposition of a geometrically parametrized heat problem with geophysical applications},
  author={Sergio Zlotnik and David Modesto and Antonio Huerta},
  year={2015}
}
The solution of a steady thermal multiphase problem is assumed to be dependent on a set of parameters describing the geometry of the domain, the internal interfaces and the material properties. These parameters are considered as new independent variables. The problem is therefore stated in a multidimensional setup. The Proper Generalized Decomposition (PGD) provides an approximation scheme especially well suited to preclude dramatically increasing the computational complexity with the number of… CONTINUE READING