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计算数学  2011 

THE FINITE ELEMENT INTERPOLATED CORRECTION METHOD FOR NONSELFADJOINT ELLIPTIC EIGENVALUE PROBLEMS
非自共轭椭圆特征值问题有限元插值校正

Keywords: Nonselfadjoint elliptic eigenvalue problem,finite elements,interpolated correction method,generalized Rayleigh quotient
非自共轭椭圆特征值问题
,有限元法,插值校正,广义Rayleigh商

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Abstract:

This paper discusses interpolated correction method for nonselfadjoint elliptic eigenvalue problem. Based on the interpolated correction method and acceleration of the generalized Rayleigh quotient, by quadratic interpolation for linear triangle elements and bi-quartic interpolation for bi-quadratic elements, we obtained elegant results. Furthermore, we generalized the correction of interpolation to 3D case by the tri-quadratic interpolation for trilinear elements.

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