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A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems

✍ Scribed by Meidner, Dominik; Vexler, Boris

Book ID
118205872
Publisher
Society for Industrial and Applied Mathematics
Year
2011
Tongue
English
Weight
333 KB
Volume
49
Category
Article
ISSN
0363-0129

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The Crank-Nicolson scheme is considered for solving a linear convection-diffusion equation with moving boundaries. The original problem is transformed into an equivalent system defined on a rectangular region by a linear transformation. Using energy techniques we show that the numerical solutions of