Journal of Environmental Treatment Techniques. Vol. 7. 2019. P.. 389-393
Finite element method for solving the collective nuclear model with tetrahedral symmetry
We apply a new calculation scheme of a finite element method (FEM) for solving an elliptic boundary-value problem describing a quadrupole vibration collective nuclear model with tetrahedral symmetry. We use shape functions constructed with interpolation Lagrange polynomials on a triangle finite element grid and compare the FEM results with those obtained earlier by a finite difference method. © 2019 Jagellonian University. All rights reserved.
Authors
Gusev A.A. 1 , Vinitsky S.I. 1, 2 , Chuluunbaatar O. 1, 3 , Góźdź A. 4 , Dobrowolski A. 4 , Mazurek K. 5 , Krassovitskiy P.M. 1, 6
Issue number
3
Language
English
Pages
589-594
State
Published
Link
Volume
12
Year
2019
Organizations
- 1 Joint Institute for Nuclear Research, Dubna, Russian Federation
- 2 RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
- 3 Institute of Mathematics, National University of Mongolia Ulaanbaatar, Mongolia
- 4 Institute of Physics, Maria Curie-Skłodowska University, Lublin, Poland
- 5 Institute of Nuclear Physics, Polish Academy of Sciences, Kraków, Poland
- 6 Institute of Nuclear Physics, Almaty, Kazakhstan
Keywords
Boundary value problems; Finite difference method; Calculation scheme; Elliptic boundary value problem; Finite element grid; Lagrange polynomials; Nuclear model; Quadrupoles; Shape functions; Tetrahedral symmetry; Finite element method
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