A Bayesian Approach for Uncertainty Quantification in Elliptic Cauchy Problem-Reference-Cited by-同舟云学术

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A Bayesian Approach for Uncertainty Quantification in Elliptic Cauchy Problem

Published:2020 Issue: Volume: Page:293-308
ISSN:1613-7736
Container-title:Virtual Design and Validation
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Author:

Ferrier Renaud,Kadri Mohamed Larbi,Gosselet Pierre,Matthies Hermann G.

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-030-38156-1_15

Reference21 articles.

1. Alessandrini, G., Rondi, L., Rosset, E., & Vessella, S. (2009). The stability for the Cauchy problem for elliptic equations. Inverse Problems, 25(12), 123004.

2. Andrieux, S., Baranger, T. N., & Ben Abda, A. (2006). Solving Cauchy problems by minimizing an energy-like functional. Inverse Problems, 22(1), 115.

3. Ben Belgacem, F. (2007). Why is the Cauchy problem severely ill-posed? Inverse Problems, 23(2), 823–836.

4. Ben Belgacem, F., & El Fekih, H. (2005). On Cauchy’s problem: I. A variational Steklov-Poincaré theory. Inverse Problems, 21(6), 1915.

5. Bourgeois, L. (2005). A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace’s equation. Inverse Problems, 21(3), 1087.

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