Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations

JongKyum Kwon, Soorok Ryu, Philsu Kim and Sang Dong Kim

Journal of Applied Mathematics, 2012, vol. 2012, 1-16

Abstract:

The uniform bounds on eigenvalues of B ^ h 2 − 1 A ^ N 2 are shown both analytically and numerically by the P 1 finite element preconditioner B ^ h 2 − 1 for the Legendre spectral element system A ^ N 2 u ¯ = f ¯ which is arisen from a coupled elliptic system occurred by an optimal control problem. The finite element preconditioner is corresponding to a leading part of the coupled elliptic system.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:245051

DOI: 10.1155/2012/245051

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