Volume 9, Issue 1
Superconvergence of H1-Galerkin Mixed Finite Element Methods for Elliptic Optimal Control Problems

Chunmei Liu, Tianliang Hou & Yin Yang

East Asian J. Appl. Math., 9 (2019), pp. 87-101.

Published online: 2019-01

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  • Abstract

The convergence of H1 -Galerkin mixed finite element methods for elliptic optimal control problems is studied and postprocessing operators are used to establish the superconvergence for control, state and adjoint state variables. A numerical example confirms the validity of theoretical results.

  • Keywords

Elliptic equations optimal control problems superconvergence H 1 -Galerkin mixed finite element methods.

  • AMS Subject Headings

49J20 65N30

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COPYRIGHT: © Global Science Press

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