Determination of the equilibrium boundaries of a two-layer system convection stability : PMM vol. 43, no. 6, 1979, pp. 1008–1013

The method which permits the determination of a large number of critical Rayleigh numbers and respective critical motions is applied to the determination of convection stability boundaries of a two-layer system. The method consists essentially of reducing the problem to the algebraic problem of eigenvalues by discretizing the equations by the method of finite elements or finite differences. Only the scheme of the method based on discretization by finite elements is then presented.