Piecewise bilinear preconditioning of high-order finite element method

Summary

Summary: Bounds on eigenvalues which are independent of both degrees of high-order elements and mesh sizes are shown for the system preconditioned by bilinear elements for high-order finite element discretizations applied to a model uniformly elliptic operator.

65F10, 65M30

Keywords/Phrases

multigrid, high-order finite element methods, piecewise linear preconditioning