Optimal algorithms for a problem of optimal control

DOI10.1016/0885-064X(89)90002-2zbMath0677.49030MaRDI QIDQ1123393

Arthur G. Werschulz

Publication date: 1989

Published in: Journal of Complexity (Search for Journal in Brave)

zbMATH Keywords

optimal controlfinite element methodoptimal algorithmsquadratic energy functionalnonlinear two-point second-order elliptic boundary-value problem

Mathematics Subject Classification ID

Newton-type methods (49M15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Existence theories for free problems in one independent variable (49J05)

Related Items (1)

Complexity of nonlinear two-point boundary-value problems

Cites Work

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• A survey of information-based complexity
• Finite element methods are not always optimal
• Optimal solution of ordinary differential equations
• Information of varying cardinality
• Some nonlinear problems are as easy as the approximation problem
• Asymptotic estimates of the \(L_ 2\) \(n\)-width
• Complexity of Indefinite Elliptic Problems
• Perspectives on information-based complexity

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