A Short Review on Model Order Reduction Based on Proper Generalized Decomposition

作者：Chinesta Francisco^*; Ladeveze Pierre; Cueto Elias

来源：Archives of Computational Methods in Engineering, 2011, 18(4): 395-404.

DOI：10.1007/s11831-011-9064-7

This paper revisits a new model reduction methodology based on the use of separated representations, the so called Proper Generalized Decomposition-PGD. Space and time separated representations generalize Proper Orthogonal Decompositions-POD-avoiding any a priori knowledge on the solution in contrast to the vast majority of POD based model reduction technologies as well as reduced bases approaches. Moreover, PGD allows to treat efficiently models defined in degenerated domains as well as the multidimensional models arising from multidimensional physics (quantum chemistry, kinetic theory descriptions, ... ) or from the standard ones when some sources of variability are introduced in the model as extra-coordinates.

• 出版日期2011-11