Accuracy of Optimally Blended Methods for Wave Propagation

We investigate the optimal blending in the finite element method and isogeometric analysis for wave propagation problems. These techniques lead to more cost-effective schemes with much smaller phase errors and two additional orders of convergence. The proposed blending methods are equivalent to the use of nonstandard quadrature rules and hence they can be efficiently implemented by replacing the standard Gaussian quadrature by a nonstandard rule. Numerical examples demonstrate the superior accuracy of the optimally-blended schemes compared with the classical methods