A posteriori error estimation based on numerical realization of the variational multiscale method

This paper presents a numerical realization of the variational multiscale method with the objective of providing a reliable and easy to implement local error estimation technique. The variational multiscale framework provides a systematic approach for solution scale decomposition into coarse scales captured by the mesh and fine or subgrid scales. In the proposed work, the coarse scale errors in the finite element solution are neglected in …