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We present the results from the development of a higher-order discontinuous Galerkin finite element solver using p-multigrid with line Jacobi smoothing. The line smoothing al-gorithm is presented for unstructured meshes, and p-multigrid is outlined for the nonlinear Euler equations of gas dynamics. Analysis of 2-D advection shows the improved perfor-mance of line implicit versus point implicit relaxation. Through a mesh refinement study, we determine that the accuracy of the discretization is the optimal O(h p+1) for three dif-ferent smooth problems. The multigrid convergence rate is found to be independent of the polynomial order but does depend weakly on the grid size. Timing studies for each prob-lem indicate that higher order is advantageous over grid refinement when high accuracy is required.