An $L^1$ Penalty Method for General Obstacle Problems
type: Item
instance of: scholarly article
title: An $L^1$ Penalty Method for General Obstacle Problems
zbMATH Open document ID: 1328.35336
DOI: 10.1137/140963303
author: Giang Tran
author: Hayden Schaeffer
author: William M. Feldman
author: Stanley Osher
published in: SIAM Journal on Applied Mathematics
publication date: 2015-07-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/1404.1370
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 49M30
zbMATH DE Number: 6460374
zbMATH Keywords: elliptic obstacles
zbMATH Keywords: two-phase membrane
zbMATH Keywords: Hele-Shaw
zbMATH Keywords: nonlinear elliptic equations
zbMATH Keywords: free boundary
zbMATH Keywords: exact penalty
zbMATH Keywords: \(L^1\) optimization
describes a project that uses: PhaseLift
MaRDI profile type: Publication
OpenAlex ID: W2093346147
arXiv ID: 1404.1370
cites work: Q4427713
cites work: Convergence Rate Analysis of a Multiplicative Schwarz Method for Variational Inequalities
cites work: Numerical solutions of a two-phase membrane problem
cites work: Q5665783
cites work: SOLUTIONS WITH COMPACT SUPPORT OF VARIATIONAL INEQUALITIES
cites work: Compressive sensing based machine learning strategy for characterizing the flow around a cylinder with limited pressure measurements
cites work: Compressive Sensing and Low-Rank Libraries for Classification of Bifurcation Regimes in Nonlinear Dynamical Systems
cites work: Q4447215
cites work: The regularity of elliptic and parabolic free boundaries
cites work: The obstacle problem revisited
cites work: PDEs with compressed solutions
cites work: Linearized Bregman iterations for compressed sensing
cites work: Phase retrieval via matrix completion
cites work: Robust principal component analysis?
cites work: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
cites work: A first-order primal-dual algorithm for convex problems with applications to imaging
cites work: Approximation of Obstacle Problems by Continuation Methods
cites work: A duality based semismooth Newton framework for solving variational inequalities of the second kind
cites work: Compressed sensing
cites work: A variational inequality approach to Hele-Shaw flow with a moving boundary
cites work: Exact Regularization of Convex Programs
cites work: Q3321366
cites work: The Split Bregman Method for L1-Regularized Problems
cites work: Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
cites work: The Primal-Dual Active Set Strategy as a Semismooth Newton Method
cites work: Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution
cites work: Multigrid Algorithms for Variational Inequalities
cites work: Adaptive Multilevel Methods for Obstacle Problems
cites work: A hybrid method for moving interface problems with application to the Hele-Shaw flow
cites work: Sparse time frequency representations and dynamical systems
cites work: The one-phase Hele-Shaw problem with singularities
cites work: An Introduction to Variational Inequalities and Their Applications
cites work: Monotone multigrid methods for elliptic variational inequalities. I
cites work: Monotone multigrid methods for elliptic variational inequalities. II
cites work: Splitting Algorithms for the Sum of Two Nonlinear Operators
cites work: Q4672206
cites work: Sufficiency of Exact Penalty Minimization
cites work: Introductory lectures on convex optimization. A basic course.
cites work: Singularities in Hele-Shaw flows driven by a multipole
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Compressed modes for variational problems in mathematics and physics
cites work: Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator
cites work: Regularity of free boundaries in obstacle-type problems
cites work: Q3745373
cites work: Sparse dynamics for partial differential equations
cites work: Numerical solution of the obstacle problem by the penalty method
cites work: The Two-Phase Membrane Problem--Regularity of the Free Boundaries in Higher Dimensions
cites work: Rate of convergence for some constraint decomposition methods for nonlinear variational inequalities
cites work: Singularities in Hele--Shaw Flows
cites work: Q4746741
cites work: A posteriori error estimator and error control for contact problems
cites work: Error forgetting of Bregman iteration