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, issue 1
Abstract:
The uniform bounds on eigenvalues of B∧h2−1A∧N2 are shown both analytically and numerically by the 𝒫1 finite element preconditioner B∧h2−1 for the Legendre spectral element system A∧N2u¯=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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https://doi.org/10.1155/2012/245051
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:245051
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