Geodesic
Modified duality scheme for numerical simulation of the contact between elastic bodies
Matematičeskie zametki SVFU, Tome 23 (2016), pp. 99-114

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We consider the problem of unilateral contact of two elastic bodies, a static problem in displacements. Bodies are influenced by volume and surface forces, while frictional forces are absent. Justification of use of the modified Lagrangian functionals method is given. We provide the results of numerical calculations.
Keywords: Lagrangian functional, finite element method, duality scheme, elastic contact. 
@article{SVFU_2016_23_a8,
     author = {A. Zhiltsov},
     title = {Modified duality scheme for numerical simulation of the contact between elastic bodies},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {99--114},
     publisher = {mathdoc},
     volume = {23},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2016_23_a8/}
}
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A. Zhiltsov. Modified duality scheme for numerical simulation of the contact between elastic bodies. Matematičeskie zametki SVFU, Tome 23 (2016), pp. 99-114. http://geodesic.mathdoc.fr/item/SVFU_2016_23_a8/