Proper generalized decomposition for multiscale and multiphysics problems. (English) Zbl 1269.74209
Summary: This paper is a review of the developments of the Proper Generalized Decomposition (PGD) method for the resolution, using the multiscale/multiphysics LATIN method, of the nonlinear, time-dependent problems ((visco)plasticity, damage, ...) encountered in computational mechanics. PGD leads to considerable savings in terms of computing time and storage, and makes engineering problems which would otherwise be completely out of range of industrial codes accessible.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74-02 | Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids |
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