基于集中质量方法的特征值的下界逼近

Lower Approximation of Eigenvalues by the Lumped Mass Method

对一维的特征值问题分析了集中质量方法,证明了集中质量方法的单调性:设网格J′_h是网格J_h的任意加密,λ′_1和λ_1为相应的近似特征值,则有λ_1≤λ′_1.

In this paper, we analyze the lumped mass method for the one dimensional eigenvalue problem. We prove that the lumped mass method is monotone in the sense that λ1≤λ＇1 provided that they are corresponding eigenvalues on the meshes Jh and J＇h with J＇h some refinement of Jh.