Variational multiscale a-posteriori error estimation for . . .

A-posteriori error estimation of convection-dominated and hyperbolic flow problems remains one of the largest challenges in computational mechanics. Most of the available techniques are either non-robust or computationally involved. This paper presents a multi-dimensional explicit a-posteriori error estimator based on the variational multiscale theory. The technique is adequate for methods with a local error distribution, such as stabilized methods. In particular, adequate norms are proposed for the computation of the error and the proper error intrinsic time scales are calculated for the bilinear quad and the linear triangle. Furthermore, the model considers the element-interface error along the element edges, enabling the error prediction in the diffusive limit