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Penalty and penalty-like methods for nonlinear HJB PDEs
Applied Mathematics and Computation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christina C. Christara, Ruining Wu
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Journal of Scientific Computing, 2011
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Qingshan Chen +2 more
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Qingshan Chen +2 more
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Journal of Global Optimization, 2009
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Martin Schlüter, Matthias Gerdts
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Martin Schlüter, Matthias Gerdts
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Mathematical Programming, 1991
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A. B. Gamble +2 more
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A. B. Gamble +2 more
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On penalty methods for interelement constraints
Computer Methods in Applied Mechanics and Engineering, 1982Abstract The problem of enforcing constraints across interelement boundaries can be treated directly in the construction of the basis or by using multiplier or penalty methods. We demonstrate that the multiplier approach can induce linear dependence in the constraints and lead to a singular system of equations if appropriate precautions are not ...
Carey, G. F., Kabaila, A., Utku, M.
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A penalty method for nonlinear programming
RAIRO - Operations Research, 2019This paper presents a variant of logarithmic penalty methods for nonlinear convex programming. If the descent direction is obtained through a classical Newton-type method, the line search is done on a majorant function. Numerical tests show the efficiency of this approach versus classical line searches.
Larbi Bachir Cherif, Bachir Merikhi
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Computing, 1972
Das allgemeine konvexe Optimierungsproblemf(x)=Min! unter den Restriktionenx∈Q, g(x)∈Y in reflexiven Banachraumen wird als zweistufige Optimierungs-aufgabe gedeutet und mit der Methode der Regularisierung behandelt. Es ergibt sich so eine Penalty-Methode fur Aufgaben mit unendlich vielen Nebenbedingungen.
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Das allgemeine konvexe Optimierungsproblemf(x)=Min! unter den Restriktionenx∈Q, g(x)∈Y in reflexiven Banachraumen wird als zweistufige Optimierungs-aufgabe gedeutet und mit der Methode der Regularisierung behandelt. Es ergibt sich so eine Penalty-Methode fur Aufgaben mit unendlich vielen Nebenbedingungen.
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On penalty methods for minimax problems
Zeitschrift für Operations Research, 1986Minimax problems play an important role in different fields of nonlinear analysis (game theory, duality theory, fixed point theory). After the introduction of the problem and some of its basic properties the paper investigates penalty methods to solve minimax problems.
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Classification of Some Penalty Methods
2009Optimization problems arise in science, engineering, economy, etc. and we need to find the best solutions for each reality. The methods used to solve these problems depend on several factors, including the amount and type of accessible information, the available algorithms for solving them, and, obviously, the intrinsic characteristics of the problem.
Correia, Aldina +3 more
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Finite Elements in Analysis and Design, 2003
Traditional methods for applying boundary conditions in finite element analysis require the mesh to conform to the geometry boundaries. This in turn requires complex meshing algorithms for automated mesh generation from CAD geometry, particularly when using quadrilateral and hexahedral elements.
B.W. Clark, D.C. Anderson
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Traditional methods for applying boundary conditions in finite element analysis require the mesh to conform to the geometry boundaries. This in turn requires complex meshing algorithms for automated mesh generation from CAD geometry, particularly when using quadrilateral and hexahedral elements.
B.W. Clark, D.C. Anderson
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