Geodesic
Orthogonal finite functions in variational-grid methods of the theory of curvilinear bars
Matematičeskoe modelirovanie, Tome 14 (2002) no. 2, pp. 39-50

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Several variational-grid methods of the theory of curvilinear bars are constructed and tested based on application of a mixed variational Reissner's principle and various basic systems orthogonal and unorthogonal finite functions. The comparison of the approached decisions of a task of the deformed state of curvilinear bar received by these methods on several grids, with the known exact decisions, and also with each other, shows their fast uniform convergence and satisfactory accuracy both on diplacements and on stresses. The advantages of algorithms and computing properties of methods using orthogonal finite functions are marked in comparison with other methods based on mixed variational principles, and in comparison with methods connected to a variational Lagrange principle. 
@article{MM_2002_14_2_a3,
     author = {V. L. Leont'ev and A. Yu. Melent'ev},
     title = {Orthogonal finite functions in variational-grid methods of the theory of curvilinear bars},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {39--50},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_2_a3/}
}
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V. L. Leont'ev; A. Yu. Melent'ev. Orthogonal finite functions in variational-grid methods of the theory of curvilinear bars. Matematičeskoe modelirovanie, Tome 14 (2002) no. 2, pp. 39-50. http://geodesic.mathdoc.fr/item/MM_2002_14_2_a3/