Publications related to Verlet integration

Discrete variational Lie group formulation of geometrically exact beams dynamics

Yves Weinand, Tudor Ratiu, François Gay-Balmaz, François Marie Alain Demoures

The goal of this paper is to derive a structure preserving integrator for geometrically exact beam dynamics, by using a Lie group variational integrator. Both spatial and temporal discretization are implemented in a geometry preserving manner. The resultin ...

Springer Verlag2015

Pipelined Numerical Integration on Reduced Accuracy Architectures for Power System Transient Simulations

Maher Kayal, Georgios Lilis, Theodoros Kyriakidis, Guillaume Olivier Lanz

This work concerns a dedicated mixed-signal power system dynamic simulator. The equations that describe the behavior of a power system can be decoupled in a large linear system that is handled by the analog part of the hardware, and a set of differential e ...

IEEE2014

MATHICSE Technical Report : Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems

Assyr Abdulle, Martin Ernst Huber

We propose a multiscale method based on a finite element heterogeneous multiscale method (in space) and the implicit Euler integrator (in time) to solve nonlinear monotone parabolic problems with multiple scales due to spatial heterogeneities varying rapid ...

MATHICSE2014

Projective Dynamics: Fusing Constraint Projections for Fast Simulation

Mark Pauly, Ladislav Kavan, Sofien Bouaziz

We present a new method for implicit time integration of physical systems. Our approach builds a bridge between nodal Finite Element methods and Position Based Dynamics, leading to a simple, efficient, robust, yet accurate solver that supports many differe ...

Assoc Computing Machinery2014

Approaching on-line estimation of swimming instantaneous velocity using a wearable IMU

Kamiar Aminian, Grégoire Millet, Farzin Dadashi

The goal of this study is to assess the possibility of accurate on-line instantaneous velocity estimation in swimming. Having an on-line tool, coaches could provide immediate feedback about performance to trainees. More importantly, by on-line monitoring o ...

2014

A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction

Jonathan Rochat

To describe and simulate dynamic micromagnetic phenomena, we consider a coupled system of the non-linear Landau-Lifshitz-Gilbert equation and the conservation of momentum equation. This coupling allows one to include magnetostrictive effects into the simul ...

Oxford University Press2014

Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics

Fabio Nobile, Christian Vergara

In this paper we consider the numerical solution of the three-dimensional fluid–structure interaction problem in haemodynamics, in the case of real geometries, physiological data and finite elasticity vessel deformations. We study some new inexact schemes, ...

Elsevier2014

Multisymplectic Lie group variational integrator for a geometrically exact beam in R3

Tudor Ratiu, François Gay-Balmaz, François Marie Alain Demoures

In this paper we develop, study, and test a Lie group multisymplectic integra- tor for geometrically exact beams based on the covariant Lagrangian formulation. We exploit the multisymplectic character of the integrator to analyze the energy and momentum ma ...

Elsevier2014

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Verlet integration

Discrete variational Lie group formulation of geometrically exact beams dynamics

Determination of Inner and Outer Bounds of Reachable Sets Through Subpavings

Pipelined Numerical Integration on Reduced Accuracy Architectures for Power System Transient Simulations

MATHICSE Technical Report : Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems

Projective Dynamics: Fusing Constraint Projections for Fast Simulation

Approaching on-line estimation of swimming instantaneous velocity using a wearable IMU

Simulation of Silt Erosion Using Particle-Based Methods

A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction

Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics

Multisymplectic Lie group variational integrator for a geometrically exact beam in R3

Graph Chatbot

Chat with Graph Search

Determination of Inner and Outer Bounds of Reachable Sets Through Subpavings

A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction

Discrete variational Lie group formulation of geometrically exact beams dynamics

MATHICSE Technical Report : Finite element heterogeneous multiscale method for nonlinear monotone parabolic homogenization problems

Projective Dynamics: Fusing Constraint Projections for Fast Simulation

Approaching on-line estimation of swimming instantaneous velocity using a wearable IMU

Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics

Multisymplectic Lie group variational integrator for a geometrically exact beam in R3

Pipelined Numerical Integration on Reduced Accuracy Architectures for Power System Transient Simulations

Simulation of Silt Erosion Using Particle-Based Methods