Adaptive Semidiscrete Finite Element Methods for Semilinear Parabolic Integrodifferential Optimal Control Problem with Control Constraint
Keyword(s):
The aim of this work is to study the semidiscrete finite element discretization for a class of semilinear parabolic integrodifferential optimal control problems. We derive a posteriori error estimates inL2(J;L2(Ω))-norm andL2(J;H1(Ω))-norm for both the control and coupled state approximations. Such estimates can be used to construct reliable adaptive finite element approximation for semilinear parabolic integrodifferential optimal control problem. Furthermore, we introduce an adaptive algorithm to guide the mesh refinement. Finally, a numerical example is given to demonstrate the theoretical results.
2009 ◽
Vol 41
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pp. 238-255
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2009 ◽
Vol 233
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pp. 372-388
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2018 ◽
Vol 78
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pp. 1840-1861
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2020 ◽
Vol 13
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pp. 1027-1049
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2007 ◽
Vol 336
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pp. 1090-1106
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