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- Title
抛物型最优控制问题的全离散 Crank-Nicolson 有限元法.
- Authors
张馨丹; 赵建平; 侯延仁
- Abstract
Aiming at parabolic optimal control problem with integral control constraints, a fully discrete finite element method based on Crank-Nicolson scheme is proposed. The state is discretized by piecewise linear finite elements for the space discretization, Crank-Nicolson scheme for time discretization, and the control variables are approximated by piecewise linear function approximation, so as to obtain a discrete optimal system. The error estimates of state variables, adjoint state variables and control variables are proved, and the theoretical results are verified by numerical examples.
- Subjects
FINITE element method; CRANK-nicolson method; DISCRETIZATION methods; MATHEMATICAL variables; MATHEMATICS
- Publication
Journal of Xinjiang University (Natural Science Edition), 2024, Vol 41, Issue 2, p196
- ISSN
2096-7675
- Publication type
Article
- DOI
10.13568/j.cnki.651094.651316.2023.05.18.0001