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In this paper we give a priori error estimates for finite element approximations of linear parabolic problems with pointwise control and incomplete data. We discretise the optimal control problem by… Click to show full abstract
In this paper we give a priori error estimates for finite element approximations of linear parabolic problems with pointwise control and incomplete data. We discretise the optimal control problem by using piecewise linear and continuous finite elements for the space discretisation of the state, and we use the backward Euler scheme for time discretisation. We prove a priori error estimates for the state, the adjoint-state as well as for the low-regret pointwise optimal control.
Keywords:
finite element;
control;
linear parabolic;
element approach;
pointwise control;
incomplete data
Journal Title: International Journal of Systems Science
Year Published: 2020
Link to full text (if available)
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Journal Title: International Journal of Systems Science
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!