On an interaction of two elastic bodies: analysis and algorithms

Ivona Svobodová

Applications of Mathematics (2012)

  • Volume: 57, Issue: 4, page 333-357
  • ISSN: 0862-7940

Abstract

top
The paper deals with existence and uniqueness results and with the numerical solution of the nonsmooth variational problem describing a deflection of a thin annular plate with Neumann boundary conditions. Various types of the subsoil and the obstacle which influence the plate deformation are considered. Numerical experiments compare two different algorithms.

How to cite

top

Svobodová, Ivona. "On an interaction of two elastic bodies: analysis and algorithms." Applications of Mathematics 57.4 (2012): 333-357. <http://eudml.org/doc/246626>.

@article{Svobodová2012,
abstract = {The paper deals with existence and uniqueness results and with the numerical solution of the nonsmooth variational problem describing a deflection of a thin annular plate with Neumann boundary conditions. Various types of the subsoil and the obstacle which influence the plate deformation are considered. Numerical experiments compare two different algorithms.},
author = {Svobodová, Ivona},
journal = {Applications of Mathematics},
keywords = {obstacle problem; variational formulation; semi-coercive problem; finite elements; semismooth Newton method; method of successive approximations; obstacle problem; semi-coercive problem; finite element; semi-smooth Newton method},
language = {eng},
number = {4},
pages = {333-357},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On an interaction of two elastic bodies: analysis and algorithms},
url = {http://eudml.org/doc/246626},
volume = {57},
year = {2012},
}

TY - JOUR
AU - Svobodová, Ivona
TI - On an interaction of two elastic bodies: analysis and algorithms
JO - Applications of Mathematics
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 4
SP - 333
EP - 357
AB - The paper deals with existence and uniqueness results and with the numerical solution of the nonsmooth variational problem describing a deflection of a thin annular plate with Neumann boundary conditions. Various types of the subsoil and the obstacle which influence the plate deformation are considered. Numerical experiments compare two different algorithms.
LA - eng
KW - obstacle problem; variational formulation; semi-coercive problem; finite elements; semismooth Newton method; method of successive approximations; obstacle problem; semi-coercive problem; finite element; semi-smooth Newton method
UR - http://eudml.org/doc/246626
ER -

References

top
  1. Aubin, J.-P., Applied functional analysis, Wiley-Interscience New York (2000). (2000) Zbl0946.46001MR1782330
  2. Chen, X., Nashed, Z., Qi, L., 10.1137/S0036142999356719, SIAM J. Numer. Anal. 38 (2000), 1200-1216. (2000) Zbl0979.65046MR1786137DOI10.1137/S0036142999356719
  3. Drábek, P., Milota, J., Lectures on Nonlinear Analysis, Vydavatelský Servis Plzeň (2004). (2004) Zbl1078.47001
  4. Kufner, A., Weighted Sobolev Spaces, Teubner Leipzig (1980). (1980) Zbl0455.46034MR0664599
  5. Lagnese, J. E., Lions, J.-L., Modelling Analysis and Control of Thin Plates, Mason Paris (1988). (1988) Zbl0662.73039MR0953313
  6. Salač, P., 10.1002/1521-4001(200201)82:1<33::AID-ZAMM33>3.0.CO;2-0, ZAMM, Z. Angew. Math. Mech. 82 (2002), 33-42. (2002) MR1878481DOI10.1002/1521-4001(200201)82:1<33::AID-ZAMM33>3.0.CO;2-0
  7. Salač, P., Shape optimization of elastic axisymmetric plate on an elastic foundation, Appl. Math. 40 (1995), 319-338. (1995) Zbl0839.73036MR1331921
  8. Sysala, S., 10.1007/s10492-008-0030-0, Appl. Math. 53 (2008), 347-379. (2008) Zbl1199.49051MR2433726DOI10.1007/s10492-008-0030-0

NotesEmbed ?

top

You must be logged in to post comments.