Level set based multi-scale methods for large deformation contact problems

We consider the numerical simulation of contact problems in elasticity with large deformations. The non-penetration condition is described by means of a signed distance function to the obstacle's boundary. Techniques from level set methods allow for an appropriate numerical approximation of the...

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Bibliographic Details
Published in:	Applied numerical mathematics Vol. 61; no. 4; pp. 428 - 442
Main Authors:	Krause, Rolf, Mohr, Christina
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier B.V 01.04.2011 Elsevier
Subjects:	Approximation Boundaries Calculus of variations and optimal control Contact Contact problems Deformation Exact sciences and technology Large deformations Level set methods Mathematical analysis Mathematical models Mathematics Multigrid methods Multiscale methods Non-linear elasticity Non-smooth optimization Numerical analysis Numerical analysis. Scientific computation Numerical approximation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Sciences and techniques of general use Solvers Contact problems Non-linear elasticity Level set methods Multigrid methods Non-smooth optimization Large deformations Three-dimensional calculations Level set Optimization method Mechanical contact Numerical approximation Numerical analysis Linear elasticity Applied mathematics Multiscale method Inequality constraint Smooth function Variational calculus Numerical simulation Mathematical programming
ISSN:	0168-9274, 1873-5460
Online Access:	Get full text
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