On the computation of Proper Generalized Decomposition modes of parametric elliptic problems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization,Modelling and Simulation,Numerical Analysis
Link
http://link.springer.com/content/pdf/10.1007/s40324-019-00198-7.pdf
Reference11 articles.
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2. Ammar, A., Chinesta, F., Falcó, A.: On the convergence of a Greedy rank-one update algorithm for a class of linear systems. Arch. Comput. Methods Eng. 17(4), 473–486 (2010)
3. Azaïez, M., Ben-Belgacem, F., Casado-Díaz, J., Rebollo, T.Chacón, Murat, F.: A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems. SIAM J. Math. Anal. 50(5), 5426–5445 (2018). https://doi.org/10.1137/17m1137164
4. Cancès, E., Lelievre, T., Ehrlacher, V.: Convergence of a greedy algorithm for high-dimensional convex nonlinear problems. Math Models Methods Appl Sci. 21(12), 2433–2467 (2011)
5. Chinesta, F., Ammar, A., Cueto, E.: Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models. Arch. Comput. Methods Eng. 17(4), 327–350 (2010)
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1. On the computation of intrinsic Proper Generalized Decomposition modes of parametric symmetric elliptic problems on Grassmann manifolds;Applied Mathematics and Computation;2024-06
2. Numerical Approximation of PGD Modes to Parameterized Elliptic Problems;SIAM Journal on Scientific Computing;2023-09-19
3. Low-Rank Approximations for Parametric Non-Symmetric Elliptic Problems;Frontiers in Physics;2022-05-10
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