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MULTISYMPLECTIC VARIATIONAL INTEGRATORS FOR NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS (Q3178410)

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Language	Label	Description	Also known as
English	MULTISYMPLECTIC VARIATIONAL INTEGRATORS FOR NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS	scientific article

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scholarly article

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MULTISYMPLECTIC VARIATIONAL INTEGRATORS FOR NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS (English)

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zbMATH Open document ID

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10.1017/fms.2016.17

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François Demoures

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François Gay-Balmaz

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Forum of Mathematics, Sigma

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publication date

13 July 2016

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1017/fms.2016.17

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Contact et frottement en dynamique des systèmes de corps rigides

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Jump functions of a real interval to a Banach space

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Implicit Functions and Solution Mappings

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Computational contact mechanics. Lectures of a CISM course

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Computational Contact Mechanics

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Concepts for modeling impacts without friction

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Interior Methods for Nonlinear Optimization

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Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side

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Nonsmooth Lagrangian Mechanics and Variational Collision Integrators

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Symmetry reduced dynamics of charged molecular strands

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Lagrange Multipliers and Optimality

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Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity

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Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization

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A set-valued force law for spatial Coulomb--Contensou friction.

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Multisymplectic variational integrators and space/time symplecticity

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Generating functionals and Lagrangian partial differential equations

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On a finite element method for dynamic contact/impact problems

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Variational methods for the solution of problems of equilibrium and vibrations

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Step size adjustment and extrapolation for time-stepping schemes in non-smooth dynamics

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The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates

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A finite strain beam formulation. The three-dimensional dynamic problem. I

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Discrete mechanics and variational integrators

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Multisymplectic geometry, variational integrators, and nonlinear PDEs

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Variational time integrators

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Variational Analysis

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Asynchronous variational integrators

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Decomposition contact response (DCR) for explicit finite element dynamics

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Proximité et dualité dans un espace hilbertien

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On the method of multipliers for convex programming

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On infinite-dimensional convex programs

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Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming

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Combined Primal-Dual and Penalty Methods for Constrained Minimization

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Monotone Operators and the Proximal Point Algorithm

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Necessary and sufficient conditions for a penalty method to be exact

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Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming

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Integrals which are convex functionals. II

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A mathematical programming approach to three-dimensional contact problems with friction

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Formulation and analysis of conserving algorithms for frictionless dynamic contact/ impact problems

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A mixed formulation for frictional contact problems prone to Newton like solution methods

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Finite element analysis of nonsmooth contact

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Characterization of the subdifferentials of convex functions

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Discontinuous variational time integrators for complex multibody collisions

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An augmented Lagrangian technique for variational inequalities

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On the Development of Optimization Theory

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A finite element method for a class of contact-impact problems

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Multiplier and gradient methods

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A mixed formulation for the finite element solution of contact problems

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A nonlinear programming approach to the unilateral contact-, and friction-boundary value problem in the theory of elasticity

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An augmented Lagrangian method for discrete large‐slip contact problems

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Time-discretized variational formulation of non-smooth frictional contact

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Unilateral contact of two solids subject to large deformations: formulation and existence results

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Geometric Numerical Integration

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A new method for the optimization of a nonlinear function subject to nonlinear constraints

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