Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function.

Hristova, S.G.; Rangelova, M.A.

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A full discretization of the time-dependent Navier-Stokes equations by a two-grid scheme

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We study a two-grid scheme fully discrete in time and space for solving the Navier-Stokes system. In the first step, the fully non-linear problem is discretized in space on a coarse grid with mesh-size and time step In the second step, the problem is discretized in space on a fine grid with mesh-size and the same time step, and linearized around the velocity computed in the first step. The two-grid strategy is motivated by the fact that under suitable assumptions,...