On the Signorini problem with friction in linear thermoelasticity: The quasi-coupled 2D-case

Jiří Nedoma

Aplikace matematiky (1987)

  • Volume: 32, Issue: 3, page 186-199
  • ISSN: 0862-7940

Abstract

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The Signorini problem with friction in quasi-coupled linear thermo-elasticity (the 2D-case) is discussed. The problem is the model problem in the geodynamics. Using piecewise linear finite elements on the triangulation of the given domain, numerical procedures are proposed. The finite element analysis for the Signorini problem with friction on the contact boundary Γ α of a polygonal domain G ⊂ R 2 is given. The rate of convergence is proved if the exact solution is sufficiently regular.

How to cite

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Nedoma, Jiří. "On the Signorini problem with friction in linear thermoelasticity: The quasi-coupled 2D-case." Aplikace matematiky 32.3 (1987): 186-199. <http://eudml.org/doc/15492>.

@article{Nedoma1987,
abstract = {The Signorini problem with friction in quasi-coupled linear thermo-elasticity (the 2D-case) is discussed. The problem is the model problem in the geodynamics. Using piecewise linear finite elements on the triangulation of the given domain, numerical procedures are proposed. The finite element analysis for the Signorini problem with friction on the contact boundary $\Gamma _\alpha $ of a polygonal domain $G\subset R^2$ is given. The rate of convergence is proved if the exact solution is sufficiently regular.},
author = {Nedoma, Jiří},
journal = {Aplikace matematiky},
keywords = {Signorini problem; model problem in geodynamics; simulation of dynamic plate tectonic model; collision zones; equilibrium equation; heat conduction equation; two-dimensional quasi-steady-state thermoelastic contact problem; Coulomb friction; Existence; uniqueness; finite element method; piecewise linear functions; triangulation; thermal part; quadratic programming; elastic part; approximation of a saddle point; Signorini problem; model problem in geodynamics; simulation of dynamic plate tectonic model; collision zones; equilibrium equation; heat conduction equation; two-dimensional quasi-steady-state thermoelastic contact problem; Coulomb friction; Existence; uniqueness; finite element method; piecewise linear functions; triangulation; thermal part; quadratic programming; elastic part; approximation of a saddle point},
language = {eng},
number = {3},
pages = {186-199},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Signorini problem with friction in linear thermoelasticity: The quasi-coupled 2D-case},
url = {http://eudml.org/doc/15492},
volume = {32},
year = {1987},
}

TY - JOUR
AU - Nedoma, Jiří
TI - On the Signorini problem with friction in linear thermoelasticity: The quasi-coupled 2D-case
JO - Aplikace matematiky
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 3
SP - 186
EP - 199
AB - The Signorini problem with friction in quasi-coupled linear thermo-elasticity (the 2D-case) is discussed. The problem is the model problem in the geodynamics. Using piecewise linear finite elements on the triangulation of the given domain, numerical procedures are proposed. The finite element analysis for the Signorini problem with friction on the contact boundary $\Gamma _\alpha $ of a polygonal domain $G\subset R^2$ is given. The rate of convergence is proved if the exact solution is sufficiently regular.
LA - eng
KW - Signorini problem; model problem in geodynamics; simulation of dynamic plate tectonic model; collision zones; equilibrium equation; heat conduction equation; two-dimensional quasi-steady-state thermoelastic contact problem; Coulomb friction; Existence; uniqueness; finite element method; piecewise linear functions; triangulation; thermal part; quadratic programming; elastic part; approximation of a saddle point; Signorini problem; model problem in geodynamics; simulation of dynamic plate tectonic model; collision zones; equilibrium equation; heat conduction equation; two-dimensional quasi-steady-state thermoelastic contact problem; Coulomb friction; Existence; uniqueness; finite element method; piecewise linear functions; triangulation; thermal part; quadratic programming; elastic part; approximation of a saddle point
UR - http://eudml.org/doc/15492
ER -

References

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  15. J. Nečas J. Jarušek J. Haslinger, On the solution of the variational inequality to the Signorini problem with small friction, Boll. Unione Mat. Ital. (5) 17-B (1980), 796-811. (1980) MR0580559
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  19. J. Nedoma, Model of Carpathian Continent/Continent Collision, Symposium on Plate Tectonics of Eastern Europe, EGS-ESC Budapest 8,24-29 August 1980, Budapest 1980. Proc. of the 17th Assembly of the ESC Budapest 1980, 629-637. (1980) 
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  23. J. Nedoma, On one type of Signorini problem without friction in linear thermoelasticity, Apl. mat. 28 (1983) 6, 393-407. (1983) MR0723201

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