Finite Element Preconditioning on Spectral Element Discretizations for Coupled Elliptic Equations

[摘要] The uniform bounds on eigenvalues ofB^h2−1A^N2are shown both analytically and numerically bythe𝒫1finite 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.

[学科分类] 应用数学