In this paper we analyze the discrete maximum principle (DMP) for a non-stationary diffusion–reaction problem solved by means of prismatic finite elements and θ-method. We derive geometric conditions on the shape parameters of prismatic partitions and time-steps which a priori guarantee...

For the need of the theory of oscillatory solutions of dissipative abstract equations a suitable function is constructed as a solution of the second order ordinary differential equation with nonlinearity in the first derivative.