Control of Stefan Problems by Means of Linear-Quadratic Defect Minimization

Knabner P (1985)

Publication Language: English

Publication Type: Journal article

Publication year: 1985

Journal

Numerische Mathematik Springer Verlag (Germany)

Book Volume: 46

Pages Range: 429-442

Journal Issue: 3

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_1985/1985_Kn_ControlOfStefanProblemsByMeansLinearQuadraticDefMini

DOI: 10.1007/BF01389495

Abstract

We investigate the following problem: To influence a heat conduction process in such a way that the conductor melts in a prescribed manner. Since we treat a linear auxiliary problem, it suffices to deal with a linear-quadratic defect minimization problem with linear restrictions, where we use splines or polynomials as approximation spaces. In case of exact controllability we derive various order of convergence estimates, which we discuss for some numerical examples.
Subject Classifications: AMS(MOS): 65P05; CR: G1.8.

Authors with CRIS profile

Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

How to cite

APA:

Knabner, P. (1985). Control of Stefan Problems by Means of Linear-Quadratic Defect Minimization. Numerische Mathematik, 46(3), 429-442. https://doi.org/10.1007/BF01389495

MLA:

Knabner, Peter. "Control of Stefan Problems by Means of Linear-Quadratic Defect Minimization." Numerische Mathematik 46.3 (1985): 429-442.

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