Data assimilation for the heat equation using stabilized finite element methods
Author:
Funder
University College London
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/article/10.1007/s00211-018-0949-3/fulltext.html
Reference28 articles.
1. Auroux, D., Blum, J.: Back and forth nudging algorithm for data assimilation problems. C. R. Math. Acad. Sci. Paris 340(12), 873–878 (2005)
2. Baumeister, J.: Stable Solution of Inverse Problems. Advanced Lectures in Mathematics. Friedr. Vieweg & Sohn, Braunschweig (1987)
3. Boyer, F., Hubert, F., Le Rousseau, J.: Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations. J. Math. Pures Appl. (9) 93(3), 240–276 (2010)
4. Boyer, F., Hubert, F., Le Rousseau, J.: Uniform controllability properties for space/time-discretized parabolic equations. Numer. Math. 118(4), 601–661 (2011)
5. Brenner, S.C.: Poincaré–Friedrichs inequalities for piecewise $$H^1$$ H 1 functions. SIAM J. Numer. Anal. 41(1), 306–324 (2003)
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