Nikolaev Anatolii Petrovich

Publications in Math-Net.Ru

1. On the physical equations of a deformable body at the loading step with implementation based on a mixed FEM
   
   Izv. Saratov Univ. Math. Mech. Inform., 23:1 (2023),  70–82
2. Varying parameterization of an ellipsoidal thin shell with FEM-based implementation
   
   Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 165:1 (2023),  49–67
3. On the approximation of class $C^{(0)}$ components of physical quantities in curved coordinate systems
   
   Izv. Saratov Univ. Math. Mech. Inform., 22:2 (2022),  142–151
4. Nonlinear deformation of axisymmetrically loaded rotation shell based on FEM with different variants of definitional equations
   
   Izv. Saratov Univ. Math. Mech. Inform., 22:1 (2022),  48–61
5. Continuos parameterization of the median surface of an ellipsoidal shell and its geometric parameters
   
   Mathematical Physics and Computer Simulation, 23:1 (2020),  5–12
6. To the question on continuous parameterization of spatial figures having an ellipse in a section
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 9,  30–35
7. The use of Lagrange multipliers in the triangular element of a nonplanar shell under variable interpolation of displacements
   
   Sib. Zh. Ind. Mat., 20:4 (2017),  44–54
8. Comparison of the scalar and vector form FEM for example elliptic cylinders
   
   Matem. Mod., 28:1 (2016),  65–77
9. Finite element analysis of revolution shells by using high order triangle element of discretization with correcting Lagrange multipliers
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5,  59–63
10. The defining relations for nonlinear elastic bodies and their implementation in the calculation of the rotation shells subjected to axisymmetric loading based on the mixed FEM
    
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:2 (2015),  28–39
11. Comparison of scalar and vector FEM forms in the case of an elliptic cylinder
    
    Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015),  418–428
12. Stress-strain state of an elliptical cylinder with an ellipsoidal bottoms of dissimilar materials based FEM
    
    Izv. Saratov Univ. Math. Mech. Inform., 13:3 (2013),  65–70