Sharp a posteriori error estimates for optimal control governed by parabolic integro-differential equations (Q898411)
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scientific article; zbMATH DE number 6518074
| Language | Label | Description | Also known as |
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| English | Sharp a posteriori error estimates for optimal control governed by parabolic integro-differential equations |
scientific article; zbMATH DE number 6518074 |
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Sharp a posteriori error estimates for optimal control governed by parabolic integro-differential equations (English)
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9 December 2015
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The paper deals with a less investigated class of partial differential equations constrained optimal control problems, optimal control problem constrained by parabolic integro-differential equation occurring in heat conduction control for materials with memory, population dynamics control, and control in elastic-plastic mechanics. Posteriori error estimates in \(L_2(0, T ; H_1(\Omega))\)-norm for optimal control of the finite element discretized state equation is derived. Numerical results are are presented for a test example to confirm their effectiveness of the a posteriori error estimates on adaptive meshes.
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adaptive finite elements
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a posteriori error estimates
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parabolic integro-differential equations
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optimal control
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heat conduction control
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materials with memory
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population dynamics control
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elastic-plastic mechanics
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numerical results
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