A POSTERIORI ERROR ESTIMATION OF FINITE-ELEMENT APPROXIMATIONS IN FLUID-MECHANICS
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abstract
Several techniques for a posteriori error estimation of finite element approximations of time-dependent problems are developed and tested. These include a discontinuous Galerkin method for linear convection problems, a residual-type method for diffusion problems and an operator splitting method for convection-diffusion problems. Some extensions to certain classes of nonlinear hyperbolic problems are also presented. 1990.