An adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problem

Picasso, MarcoPrachittham, Virabouth2011-11-162011-11-162011-11-16200910.1016/j.cam.2009.09.004https://infoscience.epfl.ch/handle/20.500.14299/72643WOS:000271796000024An a posteriori upper bound is derived for the nonstationary convection-diffusion problem using the Crank-Nicolson scheme and continuous, piecewise linear stabilized finite elements with large aspect ratio. Following Lozinski et al. (2009) [13], a quadratic time reconstruction is used.Adaptive finite elementsA posteriori error estimatesConvection-diffusionCrank-Nicolson schemeFinite-Element MethodsPosteriori Error EstimatorsAdvection-DiffusionTetrahedral MeshesStokes ProblemsEquationsFlowAn adaptive algorithm for the Crank-Nicolson scheme applied to a time-dependent convection-diffusion problemtext::journal::journal article::research article