Open AccessBook
Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics
Reads0
Chats0
TLDR
In this article, an augmented Lagrangian method for the solution of variational problems is proposed. But this method is not suitable for continuous media and their mathematical modeling, such as viscoplasticity and elastoviscasticity.Abstract:
1. Some continuous media and their mathematical modeling 2. Variational formulations of the mechanical problems 3. Augmented Lagrangian methods for the solution of variational problems 4. Viscoplasticity and elastoviscoplasticity in small strains 5. Limit load analysis 6. Two-dimensional flow of incompressible viscoplastic fluids 7. Finite elasticity 8. Large displacement calculations of flexible rods References Index.read more
Citations
More filters
Journal ArticleDOI
Accelerated computational micromechanics and its application to polydomain liquid crystal elastomers
Hao Zhou,Kaushik Bhattacharya +1 more
TL;DR: An operator-splitting scheme inspired by this structure is proposed and used to study microstructure evolution in liquid crystal elastomers and provides new insights into some counter-intuitive properties of these materials.
Journal ArticleDOI
Miscible heavy-light displacement flows in an inclined two-dimensional channel: A numerical approach
TL;DR: In this article, the displacement flow of two iso-viscous Newtonian fluids in an inclined two-dimensional channel, formed by two parallel plates, was numerically studied, and three dimensionless groups largely described these flows: the densimetric Froude number (Fr), the Reynolds number (Re), and the duct inclination (β).
Dissertation
Stochastic and deterministic models for dense granular flow
TL;DR: In this article, two models are developed for dense granular flow, each capable of predicting flows with accuracy in multiple environments, based on differing perspectives of grain-level dynamics, with one deriving flow from a stochastic mechanism and the other from a deterministic deformation law.
Journal ArticleDOI
Block Matching Local SVD Operator Based Sparsity and TV Regularization for Image Denoising
Jun Liu,Stanley Osher +1 more
TL;DR: Numerical experiments show that the proposed method is very competitive and outperforms state-of-the-art denoising methods such as BM3D and mathematically shows the convergence of the algorithms when the proposed model is convex.
Journal ArticleDOI
An adaptive finite element method for the modeling of the equilibrium of red blood cells
TL;DR: In this paper, an adaptive Eulerian finite element approximation based on the level set method is proposed for shape optimization of an isolated red blood cell (RBC) under prescribed constraints of fixed volume and surface area.
Related Papers (5)
On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
A dual algorithm for the solution of nonlinear variational problems via finite element approximation
Daniel Gabay,Bertrand Mercier +1 more