Towards an efficient numerical simulation of complex 3D knee joint motion

DOI10.1007/s00791-014-0227-6zbMath1388.74108OpenAlexW1976442314MaRDI QIDQ1685032

Oliver Sander, Ralf Kornhuber, Jonathan Youett, Corinna Klapproth, Peter Deuflhard

Publication date: 13 December 2017

Published in: Computing and Visualization in Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00791-014-0227-6

zbMATH Keywords

domain decompositionenergy-momentum methodbiomechanicsgeodesic finite elementscontact-stabilized newmark methodknee modeltime-dependent contact problem

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Linear constitutive equations for materials with memory (74D05) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Dynamics of multibody systems (70E55)

Related Items (2)

Simulation of the deformation for cycling chemo-mechanically coupled battery active particles with mechanical constraints ⋮ The contact-stabilized Newmark method: consistency error of a spatiotemporal discretization

Uses Software

• DUNE
• UG
• PSurface

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adaptive numerical solution of PDEs.
• The PSurface library
• Adaptive timestep control for the contact-stabilized Newmark method
• A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE
• Development of a planar multibody model of the human knee joint
• Consistency results on Newmark methods for dynamical contact problems
• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum
• Infrastructure for the Coupling of Dune Grids
• Variationally consistent discretization schemes and numerical algorithms for contact problems
• Truncated Nonsmooth Newton Multigrid Methods for Convex Minimization Problems
• A Perturbation Result for Dynamical Contact Problems
• Geodesic finite elements for Cosserat rods
• Dynamic frictionless contact in linear viscoelasticity
• A scalable multi-level preconditioner for matrix-free µ-finite element analysis of human bone structures
• A contact-stabilized Newmark method for dynamical contact problems
• DESIGN OF ENERGY CONSERVING ALGORITHMS FOR FRICTIONLESS DYNAMIC CONTACT PROBLEMS
• Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems
• Non‐linear dynamics of three‐dimensional rods: Exact energy and momentum conserving algorithms
• Geometric Numerical Integration
• Discretization methods and iterative solvers based on domain decomposition
• UG -- a flexible software toolbox for solving partial differential equations
• Adaptive multigrid methods for Signorini's problem in linear elasticity.

This page was built for publication: Towards an efficient numerical simulation of complex 3D knee joint motion