A postprocess based improvement of the spectral element method Original Research Article

We present an approximate inertial manifold based postprocess to enhance the accuracy of the spectral element method for evolutionary equations of dissipative type. The analysis shows that the postprocess improves the order of convergence. The postprocess consists on the resolution of a discrete elliptic problem only once when the time evolution has been completed. The overcost is then negligible and the resulting postprocessed method is really an improvement over the standard spectral element discretization to which is applied.