Time integrators based on approximate discontinuous Hamiltonians
From MaRDI portal
Publication:2894885
DOI10.1002/nme.3236zbMath1242.70002OpenAlexW2166361345MaRDI QIDQ2894885
Sohan Dharmaraja, Haneesh Kesari, Adrian J. Lew, Eric Darve
Publication date: 2 July 2012
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.3236
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
Related Items
Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials ⋮ A method for multidimensional wave propagation analysis via component-wise partition of longitudinal and shear waves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monitoring energy drift with shadow Hamiltonians
- The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- Molecular dynamics for polymeric fluids using discontinuous potentials
- Asynchronous variational integrators
- Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
- On the Hamiltonian interpolation of near-to-the-identity symplectic mappings with application to symplectic integration algorithms
- Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
- Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
- Numerical aspects of non-smooth multibody dynamics
- Practical Construction of Modified Hamiltonians
- An Explicit Asynchronous Contact Algorithm for Elastic-Rigid Body Interaction
- Assembly of finite element methods on graphics processors
- Force-stepping integrators in Lagrangian mechanics
- Variational time integrators
- Discrete mechanics and variational integrators
- Decomposition contact response (DCR) for explicit finite element dynamics
- Symplectic integration of Hamiltonian systems
- A Hybrid Phase-Flow Method for Hamiltonian Systems with Discontinuous Hamiltonians
- Energy-stepping integrators in Lagrangian mechanics
- Stabilized Integration of Hamiltonian Systems with Hard-Sphere Inequality Constraints
- Symplectic-energy-momentum preserving variational integrators
- Backward Error Analysis for Numerical Integrators
- Nonsmooth Lagrangian Mechanics and Variational Collision Integrators
- An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics
- Geometric Numerical Integration
