Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations
Keyword(s):
The uniform bounds on eigenvalues ofB^h2−1A^N2are shown both analytically and numerically by theP1finite element preconditionerB^h2−1for the Legendre spectral element systemA^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.
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