APPLYING A FINITE-ELEMENT METHOD TO SOLVE A KINETIC EQUATION EIGENVALUE PROBLEM FOR A SPHERE

A. I. Prokofiev
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1983. Вып.2. С. 13-18.

      Using a finite-element method to solve a neutron transport eguation eigenvalue prblem in a spherical symmetry case is described. The finite-element method application to a phase space is considered along with the solution approximation over an angular variable by the spherical harmonic method while using the finite- -element method for a spatial variable. A resulting system of algebraic eguations is solved by a block relaxation technigue. Numerical calculations are carried out to estimate the method performance, a comparison is made with the results obtained by other methods.