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Error estimates of RT1 mixed methods for distributed optimal control problems

Tianliang Hou
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회보 (Bulletin of the KMS)|제51권 제1호|pp. 139-156

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참고문헌

키워드

elliptic equationsdistributed optimal control problemsL∞- error estimatesRT1 mixed finite element methods
주제분류수학

초록

In this paper, we investigate the error estimates of a quadratic elliptic control problem with pointwise control constraints. The state and the co-state variables are approximated by the order k = 1 Raviart-Thomas mixed finite element and the control variable is discretized by piecewise linear but discontinuous functions. Approximations of order h 3 2 in the L2-norm and order h in the L∞-norm for the control variable are proved.

Abstract

In this paper, we investigate the error estimates of a quadratic elliptic control problem with pointwise control constraints. The state and the co-state variables are approximated by the order k = 1 Raviart-Thomas mixed finite element and the control variable is discretized by piecewise linear but discontinuous functions. Approximations of order h 3 2 in the L2-norm and order h in the L∞-norm for the control variable are proved.

참고문헌 (22)

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