The effectiveness of using one variant of the finite-element method for solving nonlinear nonstationary heat-conduction problems

It is established that the use of a previously proposed variant of the finite-element method for solving nonlinear nonstationary heat-conduction problems is efficient (in the sense of computer time expenditures) when the half-width of the band β of the resulting matrix in the system of linear algebraic equations does not exceed a certain value of βcr. As a result of a numerical experiment for an axially symmetric case we obtain βcr ≈ 47, which demonstrates the effectiveness of this variant of the finite-element method for solving a wide range of practical problems of heat-conduction theory.