Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems
Multigrid Algorithms for $hp$-Discontinuous Galerkin Discretizations of Elliptic Problems
We present W-cycle $h$-, $p$-, and $hp$-multigrid algorithms for the solution of the linear system of equations arising from a wide class of $hp$-version discontinuous Galerkin discretizations of elliptic problems. Starting from a classical framework in geometric multigrid analysis, we define a smoothing and an approximation property, which are used …