Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems

DOI10.1016/j.crma.2016.10.017zbMath1349.35426arXiv1605.04123OpenAlexW2964159112MaRDI QIDQ344327

Mourad Choulli, Enrique Zuazua

Publication date: 22 November 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04123

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Cites Work

• Greedy controllability of finite dimensional linear systems
• Stability for quantitative photoacoustic tomographywith well-chosen illuminations
• Greedy algorithms for reduced bases in Banach spaces
• Kolmogorov widths under holomorphic mappings
• How To Best Sample a Solution Manifold?
• A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method
• Convergence Rates for Greedy Algorithms in Reduced Basis Methods
• Approximation of high-dimensional parametric PDEs

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