Schemes and programs of the finite element method for solving boundary value problems

Schemes and programs of high-order finite element method (FEM) of a high order of accuracy for solving the multichannel scattering problem and the metastable state problem for a system of second-order ODEs with real and complex potentials and different numbers of open channels in two asymptotic regions are developed. With their help, metastable states of beryllium dimer were calculated for the first time and models of heavy ion fusion reactions were investigated.

Computational schemes and programs of the FEM for solving elliptic multi-dimensional boundary value problems on hyperparallelepipedal grids, aimed at studying collective models of atomic nuclei are being developed.