On numerical solution of a variational inequality of the 4th order by finite element method
Applications of Mathematics, Tome 23 (1978) no. 5, pp. 334-345.
Voir la notice de l'article dans Czech Digital Mathematics Library
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.
DOI :
10.21136/AM.1978.103760
Classification :
31A30, 35J20, 49A29, 65K05, 65N30, 73K10, 74K20, 74S05, 74S30, 90C20
Mots-clés : quadratic programming; elastic clamped plate; algorithm; energy functional; convergence; minimization problem; numerical solution; finite element method
Mots-clés : quadratic programming; elastic clamped plate; algorithm; energy functional; convergence; minimization problem; numerical solution; finite element method
@article{10_21136_AM_1978_103760, author = {Haslinger, Jaroslav}, title = {On numerical solution of a variational inequality of the 4th order by finite element method}, journal = {Applications of Mathematics}, pages = {334--345}, publisher = {mathdoc}, volume = {23}, number = {5}, year = {1978}, doi = {10.21136/AM.1978.103760}, mrnumber = {0502470}, zbl = {0399.65084}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103760/} }
TY - JOUR AU - Haslinger, Jaroslav TI - On numerical solution of a variational inequality of the 4th order by finite element method JO - Applications of Mathematics PY - 1978 SP - 334 EP - 345 VL - 23 IS - 5 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103760/ DO - 10.21136/AM.1978.103760 LA - en ID - 10_21136_AM_1978_103760 ER -
%0 Journal Article %A Haslinger, Jaroslav %T On numerical solution of a variational inequality of the 4th order by finite element method %J Applications of Mathematics %D 1978 %P 334-345 %V 23 %N 5 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103760/ %R 10.21136/AM.1978.103760 %G en %F 10_21136_AM_1978_103760
Haslinger, Jaroslav. On numerical solution of a variational inequality of the 4th order by finite element method. Applications of Mathematics, Tome 23 (1978) no. 5, pp. 334-345. doi : 10.21136/AM.1978.103760. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1978.103760/
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