Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting
DOI10.1142/S0219493717500162zbMath1360.74098arXiv1601.04638MaRDI QIDQ2970119
Nicole Marheineke, Alexander Vibe, Holger Stroot, Raimund Wegener, Felix Lindner
Publication date: 27 March 2017
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.04638
Lagrange multipliernonlinear constraintstochastic differential algebraic equationglobal solution theoryimplicit Euler-type methodsmanifold-valued stochastic differential equationstochastic elastic beam dynamics
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Random vibrations in dynamical problems in solid mechanics (74H50)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the curve straightening flow of inextensible, open, planar curves
- The motion of whips and chains
- Projection methods for stochastic differential equations with conserved quantities
- Automatic integration of Euler-Lagrange equations with constraints
- Higher-order implicit strong numerical schemes for stochastic differential equations
- On the dynamics of rods in the theory of Kirchhoff and Clebsch
- Numerical solution of SDE through computer experiments. Including floppy disk
- Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence
- Stochastic nonlinear beam equations
- Mathematical approaches to biomolecular structure and dynamics. Proceedings of the 1994 IMA summer program on molecular biology
- Analysis of some discretization schemes for constrained stochastic differential equations
- Brownian motion. An introduction to stochastic processes. With contributions by Björn Böttcher
- WIGGLE: a new constrained molecular dynamics algorithm in Cartesian coordinates
- Evolution of Elastic Curves in $\Rn$: Existence and Computation
- Langevin dynamics with constraints and computation of free energy differences
- A simple scheme for the approximation of the elastic flow of inextensible curves
- Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients
- Error analysis for the elastic flow of parametrized curves
- The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute
- A Second-Order Strong Method for the Langevin Equations with Holonomic Constraints
- Discrete Gradient Approach to Stochastic Differential Equations with a Conserved Quantity
- Fiber Dynamics in Turbulent Flows: General Modeling Framework
- Hydrodynamic Limit of a Fokker–Planck Equation Describing Fiber Lay-Down Processes
- Hierarchy of mathematical models for production processes of technical textiles
- On a nonlinear partial differential algebraic system arising in the technical textile industry: analysis and numerics
- Numerical Methods for Stochastic Systems Preserving Symplectic Structure
- Low-Mach-number and slenderness limit for elastic Cosserat rods and its numerical investigation
- Stochastic Equations in Infinite Dimensions
- Lagrangian Aspects of the Kirchhoff Elastic Rod
- Projection of diffusions on submanifolds: Application to mean force computation
This page was built for publication: Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting
