Schemes of Finite Element Method for Collective Models of Atomic Nuclei

A finite element method scheme for solving the boundary value problem of collective nuclear models is presented. Its efficiency is demonstrated on calculations of rotational-vibrational spectra and electrical quadrupole transitions $B(E2)$ for the isotopes ¹⁵⁴Gd and ²³⁸U with tabularly specified coefficients of the boundary value problem, including one-well and double-well potential energy surfaces, respectively, calculated from the relativistic mean-field model.