Wavelet Schemes for Linear-Quadratic Elliptic Control Problems

Angela Kunoth ()
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Angela Kunoth: Universität Bonn

A chapter in Operations Research Proceedings 2005, 2006, pp 453-458 from Springer

Abstract: Summary This paper discusses the efficient numerical solution of a class of continuous optimization problems which are characterized by minimizing a tracking-type quadratic control functional subject to constraints in form of a linear elliptic partial differential equation (PDE) together with appropriate boundary conditions. For such problems, discretizations in terms of (domain-adapted biorthogonal spline-)wavelets offer several favorable properties over conventional approaches: from the evaluation of non-integer Sobolev norms in the objective functional over well-conditioned coupled linear systems of equations up to adaptive solution schemes with provable convergence and optimal convergence rates.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-540-32539-0_71

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DOI: 10.1007/3-540-32539-5_71

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