A preconditioned descent algorithm for variational inequalities of the second kind involving the \(p\)-Laplacian operator
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Publication:2397095
DOI10.1007/s10589-016-9861-xzbMath1368.65104arXiv1504.01429OpenAlexW3125737292MaRDI QIDQ2397095
Publication date: 29 May 2017
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.01429
variational inequalities\(p\)-LaplacianHerschel-Bulkley modeloptimization and variational techniques
Non-Newtonian fluids (76A05) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- Distributed control of systems governed by a general class of quasilinear elliptic equations
- Numerical simulation of two-dimensional Bingham fluid flow by semismooth Newton methods
- A duality based semismooth Newton framework for solving variational inequalities of the second kind
- Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids
- Functional analysis, Sobolev spaces and partial differential equations
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- Positivity of weak solutions of non-uniformly elliptic equations
- Computational vascular fluid dynamics: problems, models and methods
- Remarks around 50 lines of Matlab: short finite element implementation
- Preconditioned descent algorithms for \(p\)-Laplacian
- Optimization theory and methods. Nonlinear programming
- On Dirichlet's boundary value problem. An \(L^p\)-theory based on a generalization of Garding's inequality
- Numerical PDE-Constrained Optimization
- Steady, Shallow Ice Sheets as Obstacle Problems: Well-Posedness and Finite Element Approximation
- Introduction to the Theory of Nonlinear Optimization
- Optimization with PDE Constraints
- Path following methods for steady laminar Bingham flow in cylindrical pipes
- Finite Element Approximation of the p-Laplacian
- Semismooth Newton Methods for Operator Equations in Function Spaces
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
- A Multigrid Algorithm for the p-Laplacian
- Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities
- A Sequential Minimization Technique for Elliptic Quasi-variational Inequalities with Gradient Constraints
- Parabolic Quasi-variational Inequalities with Gradient-Type Constraints
- Variational Methods
- Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
