Piecewise Bilinear Preconditioning of High-order Finite Element Methods

Abstract

PIECEWISE BILINEAR PRECONDITIONING OF HIGH-ORDER FINITE ELEMENT METHODS SANG DONG KIM Abstract. 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.

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Cite this paper

@inproceedings{Kim2006PiecewiseBP, title={Piecewise Bilinear Preconditioning of High-order Finite Element Methods}, author={Sang Dong Kim}, year={2006} }