# A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation

J. Haslinger; R. Kučera; T. Sassi

Mathematical Modelling of Natural Phenomena (2009)

- Volume: 4, Issue: 1, page 123-146
- ISSN: 0973-5348

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topHaslinger, J., Kučera, R., and Sassi, T.. "A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation." Mathematical Modelling of Natural Phenomena 4.1 (2009): 123-146. <http://eudml.org/doc/222400>.

@article{Haslinger2009,

abstract = {
The paper deals with an iterative method for numerical solving frictionless
contact problems for two elastic bodies. Each iterative step consists of a
Dirichlet problem for the one body, a contact problem for the other one and two
Neumann problems to coordinate contact stresses. Convergence is proved by the
Banach fixed point theorem in both continuous and discrete case. Numerical
experiments indicate scalability of the algorithm for some choices of the
relaxation parameter.},

author = {Haslinger, J., Kučera, R., Sassi, T.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {contact problem; domain decomposition method},

language = {eng},

month = {1},

number = {1},

pages = {123-146},

publisher = {EDP Sciences},

title = {A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation},

url = {http://eudml.org/doc/222400},

volume = {4},

year = {2009},

}

TY - JOUR

AU - Haslinger, J.

AU - Kučera, R.

AU - Sassi, T.

TI - A Domain Decomposition Algorithm for Contact Problems: Analysis and Implementation

JO - Mathematical Modelling of Natural Phenomena

DA - 2009/1//

PB - EDP Sciences

VL - 4

IS - 1

SP - 123

EP - 146

AB -
The paper deals with an iterative method for numerical solving frictionless
contact problems for two elastic bodies. Each iterative step consists of a
Dirichlet problem for the one body, a contact problem for the other one and two
Neumann problems to coordinate contact stresses. Convergence is proved by the
Banach fixed point theorem in both continuous and discrete case. Numerical
experiments indicate scalability of the algorithm for some choices of the
relaxation parameter.

LA - eng

KW - contact problem; domain decomposition method

UR - http://eudml.org/doc/222400

ER -

## References

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