Geodesic
Grid methods of calculations curvilinear bars
Matematičeskoe modelirovanie, Tome 15 (2003) no. 10, pp. 95-104

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The grid methods of the decision of nonlinear tasks of a statics and linear tasks of dynamics of curvilinear bars are considered. The methods are based on application of a variational Reissner principle and basic systems of orthogonal finite functions (OFF). The approached decisions of tasks show their fast convergence and satisfactory accuracy both on displacements and on stresses. The advantages of algorithms and computing properties of methods using OFF are marked in comparison with other methods based on mixed variational principles, and in comparison with methods connected with a variational Lagrang principle. 
@article{MM_2003_15_10_a8,
     author = {V. L. Leont'ev and A. Yu. Melent'ev},
     title = {Grid methods of calculations curvilinear bars},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {95--104},
     publisher = {mathdoc},
     volume = {15},
     number = {10},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_10_a8/}
}
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V. L. Leont'ev; A. Yu. Melent'ev. Grid methods of calculations curvilinear bars. Matematičeskoe modelirovanie, Tome 15 (2003) no. 10, pp. 95-104. http://geodesic.mathdoc.fr/item/MM_2003_15_10_a8/