Parallel solution of high frequency Helmholtz equations using high order finite difference schemes

► Parallel solution of high frequency Helmholtz equations. ► Tests include 2D and 3D problems with analytic solutions. ► 2nd order finite difference scheme fails at reasonable mesh sizes. ► 4th and 6th order finite difference schemes provide accurate solutions. ► The block-parallel CARP-CG algorithm scales well at high frequencies.