Dispersion analysis of the discontinuous enrichment method for plane-strain elasticity

We analyze the dispersion properties of plane-strain elements obtained by the discontinuous enrichment method (DEM). In DEM, the standard polynomial field is enriched within each element by a non-conforming field that is added to it. The dispersion analysis is performed on Lagrange multipliers, which weakly enforce the continuity of the solution and thus are associated with the inter-element traction. We use an eigenvalue-based procedure to compute the phase and polarization errors. The dispersion analysis is corroborated by results of numerical experiments.