Superconvergence for optimal control problems governed by semilinear parabolic equations

摘要

In this paper, we first investigate optimal control problem for semilinear parabolic and introduce the standard L-2 (Omega)-orthogonal projection and the elliptic projection. Then we present some necessary intermediate variables and their error estimates. At last, we derive the error estimates between the finite element solutions and L-2-orthogonal projection or the elliptic projection of the exact solutions.

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