# On numerical solution of a variational inequality of the 4th order by finite element method

Aplikace matematiky (1978)

- Volume: 23, Issue: 5, page 334-345
- ISSN: 0862-7940

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topHaslinger, Jaroslav. "On numerical solution of a variational inequality of the 4th order by finite element method." Aplikace matematiky 23.5 (1978): 334-345. <http://eudml.org/doc/15063>.

@article{Haslinger1978,

abstract = {The problem of a thin elastic plate, deflection of which is limited below by a rigid obstacle is solved. Using Ahlin's and Ari-Adini's elements on rectangles, the convergence is established and SOR method with constraints is proposed for numerical solution.},

author = {Haslinger, Jaroslav},

journal = {Aplikace matematiky},

keywords = {quadratic programming; elastic clamped plate; algorithm; energy functional; convergence; minimization problem; numerical solution; finite element method; Quadratic Programming; Elastic Clamped Plate; Algorithm; Energy Functional; Convergence; Minimization Problem; Numerical Solution; Finite Element Method},

language = {eng},

number = {5},

pages = {334-345},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On numerical solution of a variational inequality of the 4th order by finite element method},

url = {http://eudml.org/doc/15063},

volume = {23},

year = {1978},

}

TY - JOUR

AU - Haslinger, Jaroslav

TI - On numerical solution of a variational inequality of the 4th order by finite element method

JO - Aplikace matematiky

PY - 1978

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 23

IS - 5

SP - 334

EP - 345

AB - The problem of a thin elastic plate, deflection of which is limited below by a rigid obstacle is solved. Using Ahlin's and Ari-Adini's elements on rectangles, the convergence is established and SOR method with constraints is proposed for numerical solution.

LA - eng

KW - quadratic programming; elastic clamped plate; algorithm; energy functional; convergence; minimization problem; numerical solution; finite element method; Quadratic Programming; Elastic Clamped Plate; Algorithm; Energy Functional; Convergence; Minimization Problem; Numerical Solution; Finite Element Method

UR - http://eudml.org/doc/15063

ER -

## References

top- Cea J., Optimisation théorie et algorithmes, Dunod, Paris 1971. (1971) Zbl0211.17402MR0298892
- Ciarlet P. G., Conforming and nonconforming finite element methods for solving the plate problem, Conference on the numerical solution of differential equations, University of Dundee, July 1973, 03-06. (1973) MR0423832
- Ciarlet P. G., Raviart P. A., General Lagrange and Hermite interpolation in ${R}_{n}$ with applications to finite element methods, Arch. Rat. Anal. Vol. 46 (1972), 177- 199. (1972) Zbl0243.41004MR0336957
- Glowinski R., Analyse numerique d'inequations variationnelles d'ordre 4, (preprint of University Paris VI).
- Jakovlev G. N., [unknown], Trans. Moscow Math. Soc. (1967), 227--313. (1967)
- Janovský V., Procházka P., The nonconforming finite element method in the problem of clamped plate with ribs, Apl. Mat. 21 (1976), No 4, 273 - 289. (1976) MR0413548
- Glowinski R., Lions J. L., Trémolieres R., Analyse numérique des inéquations variationnelles, Dunod, Paris 1976. (1976)

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