Numerical solutions of the \(m\)-membranes problem

DOI10.1016/J.CNSNS.2010.12.001zbMath1236.49073OpenAlexW2074994391MaRDI QIDQ635084

Marzena Franek, Farid Bozorgnia

Publication date: 19 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.12.001

zbMATH Keywords

free boundary problemsquadratic minimization\(m\)-membranes problems

Mathematics Subject Classification ID

Variational inequalities (49J40) Control of mechanical systems (70Q05) Discrete approximations in optimal control (49M25)

Related Items (2)

An adaptive wavelet collocation method for solving optimal control of elliptic variational inequalities of the obstacle type ⋮ Analysis and numerical study of a mixed formulation of a two membranes problem

Cites Work

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• The \(N\)-membrane problem with nonlocal constraints
• The \(N\)-membranes problem
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• The \(N\)-membranes problem for quasilinear degenerate systems
• On the Solution of Large Quadratic Programming Problems with Bound Constraints
• Numerical experiments with algorithms for bound constrained quadratic programming in mechanics
• Iterative Solution Methods
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• An Infeasible Active Set Method for Quadratic Problems with Simple Bounds
• The Two Membranes Problem
• Interior Methods for Nonlinear Optimization
• The conjugate gradient method in extremal problems

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