Proper Generalized Decomposition for Multiscale and Multiphysics Problems

Proper Generalized Decomposition for Multiscale and Multiphysics Problems. Néron, D. & Ladevèze, P. Archives of Computational Methods in Engineering, 17(4):351–372, December, 2010.

Paper doi abstract bibtex

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.

@article{neron_proper_2010,
	title = {Proper {Generalized} {Decomposition} for {Multiscale} and {Multiphysics} {Problems}},
	volume = {17},
	issn = {1886-1784},
	url = {https://doi.org/10.1007/s11831-010-9053-2},
	doi = {10.1007/s11831-010-9053-2},
	abstract = {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.},
	language = {en},
	number = {4},
	urldate = {2023-08-26},
	journal = {Archives of Computational Methods in Engineering},
	author = {Néron, David and Ladevèze, Pierre},
	month = dec,
	year = {2010},
	keywords = {Discontinuous Galerkin Scheme, Domain Decomposition Method, Model Reduction Technique, Proper Generalize Decomposi, Reference Problem},
	pages = {351--372},
}

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