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On the saturation assumption and hierarchical a posteriori error estimator
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Academy of Sciences algorithm approximate solution asymptotic stability Belarus boundary conditions boundary-value problem coefficients computational consider constant constructed convection-diffusion problems convective convective-transport operator corresponding CRKC scheme defined denote derivatives differential problem diffusion discretization domain eigenvalue elliptic error estimates exact solution explicit finite difference finite element method formula Friedrichs inequality gradient incompressible initial Institute of Mathematics integration interpolation iterative method Lemma linear Math Mathematics Subject Classification matrix maximum principle mesh method of characteristics Minsk monotone schemes Moscow Navier-Stokes equations nodes nonlinear norm notation number of iterations numerical methods numerical solution obtain ordinary differential equations parameter polynomials postprocessing priori estimates Proof properties prove respect right-hand side Russian satisfied Sciences of Belarus second order second-order Section self-adjoint semi-Lagrangian SLRKC solution of problem solving space stability Stefan problem step superconvergence Taking into account Theorem vector velocity