A Priori Error Estimates of Mixed Finite Element Methods for General Linear Hyperbolic Convex Optimal Control Problems
Keyword(s):
A Priori
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The aim of this work is to investigate the discretization of general linear hyperbolic convex optimal control problems by using the mixed finite element methods. The state and costate are approximated by thekorder (k≥0) Raviart-Thomas mixed finite elements and the control is approximated by piecewise polynomials of orderk. By applying the elliptic projection operators and Gronwall’s lemma, we derive a priori error estimates of optimal order for both the coupled state and the control approximation.
2017 ◽
Vol 311
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pp. 29-46
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2010 ◽
Vol 233
(8)
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pp. 1812-1820
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2015 ◽
Vol 5
(1)
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pp. 85-108
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2012 ◽
Vol 7
(3)
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pp. 397-413
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2009 ◽
Vol 42
(3)
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pp. 382-403
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2012 ◽
Vol 4
(06)
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pp. 751-768
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