A preconditioned iterative method for saddlepoint problems
SIAM Journal on Matrix Analysis and Applications
Stabilized finite element methods. I: Application to the advective-diffusive model
Computer Methods in Applied Mechanics and Engineering
Stabilized finite element methods. II: The incompressible Navier-Stokes equations
Computer Methods in Applied Mechanics and Engineering
Fast iterative solution of stabilised Stokes systems, part I: using simple diagonal preconditioners
SIAM Journal on Numerical Analysis
Fast iterative solution of stabilised Stokes systems part II: using general block preconditioners
SIAM Journal on Numerical Analysis
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration
SIAM Journal on Scientific Computing
Numerical simulation of free surface flows
Journal of Computational Physics
Global Total Variation Minimization
SIAM Journal on Numerical Analysis
An Algorithm for Total Variation Minimization and Applications
Journal of Mathematical Imaging and Vision
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Numerical Approximation of Partial Differential Equations
Numerical Approximation of Partial Differential Equations
Nonlinear inverse scale space methods for image restoration
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Looking for the best constant in a Sobolev inequality: a numerical approach
Calcolo: a quarterly on numerical analysis and theory of computation
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In this article, we address the numerical solution of non-smooth eigenvalue problems coming from continuum mechanics. These problems have applications in plasticity theory, since the smallest eigenvalue of the non-smooth operators under consideration appears in the estimation of the cut-off time of some Bingham flows. Three vector-valued eigenvalue problems are investigated. The case of divergence free functions is included. Piecewise linear finite elements are used for the discretization of the eigenfunctions. An augmented Lagrangian method is proposed for the solution of the associated non-convex optimization problem. Numerical solutions are presented for the first eigenpair of these problems and convergence orders are discussed.