Kim, Sang Dong

Piecewise bilinear preconditioning of high-order finite element method

ETNA, Electron. Trans. Numer. Anal. 26, 228-242, electronic only (2007)


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.

Mathematics Subject Classification

65F10, 65M30


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