On the long-time simulation accuracy of the discontinuous Galerkin method for 1D transport equation
Abstract:
Unsteady corrector method is applied to study the DG method for 1D transport equation with constant velocity. Only smooth solutions are considered. On arbitrary non-uniform mesh we prove that the numerical error satisfies ||e|| = O(h(k+1) + th(2k+1)) where k + 1 is the number of DOFs at one cell.
Keywords:
discontinuous Galerkin method, consistency and accuracy, supraconvergence, long-time simulation accuracy
Publication language:russian, pages:24
Research direction:
Mathematical problems and theory of numerical methods
