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
Number of issue
3
Language
English
Pages
589-594
Status
Published
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
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/55572/
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Chernyaev M.V., Faybushevich A.G., Zagorulko A.I., Samochatov D.N., Kurtasov D.S., Verin V.V., Prokhorikhin A.A., Boykov A.A., Malaev D.U., Zobov V.V.
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