A stabilized finite element method for inverse problems subject to the convection–diffusion equation. I: diffusion-dominated regime

The numerical approximation of an inverse problem subject to the convection–diffusion equation when diffusion dominates is studied. We derive Carleman estimates that are of a form suitable for use in numerical analysis and with explicit dependence on the Péclet number. A stabilized finite element me...

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Bibliographic Details
Published in:	Numerische Mathematik Vol. 144; no. 3; pp. 451 - 477
Main Authors:	Burman, Erik, Nechita, Mihai, Oksanen, Lauri
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020 Springer Nature B.V
Subjects:	Approximation Convection-diffusion equation Diffusion Divergence Estimates Finite element analysis Finite element method Inverse problems Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Norms Numerical Analysis Numerical and Computational Physics Numerical stability Simulation Stability Theoretical Upper bounds 65N12 35J15 65N21 65N30 65N20
ISSN:	0029-599X, 0945-3245
Online Access:	Get full text
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