Uniform Convergence of Adaptive Multigrid Methods for Elliptic Problems and Maxwell's Equations
Uniform Convergence of Adaptive Multigrid Methods for Elliptic Problems and Maxwell's Equations
We consider the convergence theory of adaptive multigrid methods for secondorder elliptic problems and Maxwell's equations.The multigrid algorithm only performs pointwise Gauss-Seidel relaxations on new degrees of freedom and their "immediate" neighbors.In the context of lowest order conforming finite element approximations, we present a unified proof for the convergence of …