A monotone multigrid solver for two body contact problems in biomechanics

The purpose of the paper is to apply monotone multigrid methods to static and dynamic biomechanical contact problems. In space, a finite element method involving a mortar discretization of the contact conditions is used. In time, a new contact-stabilized Newmark scheme is presented. Numerical experi...

Full description

Saved in:
Bibliographic Details
Published in:Computing and visualization in science 2008, Vol.11 (1), p.3-15
Main Authors: Kornhuber, R., Krause, R., Sander, O., Deuflhard, P., Ertel, S.
Format: Article
Language:English
Subjects:
Algorithms
Biological and medical sciences
Biomechanics. Biorheology
Calculus of Variations and Optimal Control
Optimization
Computational Mathematics and Numerical Analysis
Computational techniques
Computer Applications in Chemistry
Exact sciences and technology
Fundamental and applied biological sciences. Psychology
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Mathematics
Mathematics and Statistics
Mechanical contact (friction...)
Numerical Analysis
Physics
Regular Article
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
Structural and continuum mechanics
Tissues, organs and organisms biophysics
Visualization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The purpose of the paper is to apply monotone multigrid methods to static and dynamic biomechanical contact problems. In space, a finite element method involving a mortar discretization of the contact conditions is used. In time, a new contact-stabilized Newmark scheme is presented. Numerical experiments for a two body Hertzian contact problem and a biomechanical application are reported.
ISSN:1432-9360
1433-0369
DOI:10.1007/s00791-006-0053-6