Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems

Abstract

We study the numerical approximation of distributed optimal control problems governed by semilinear elliptic partial differential equations with pointwise constraints on the control. Piecewise linear finite elements are used to approximate the control as well as the state. We prove that the L2-error estimates are of order o(h), which is optimal according… (More)
DOI: 10.1007/s10444-004-4142-0

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Cite this paper

@article{Casas2007UsingPL, title={Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems}, author={Eduardo Casas}, journal={Adv. Comput. Math.}, year={2007}, volume={26}, pages={137-153} }