對流擴散特征值問題的一種多水平校正方法.pdf

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29、;·········· 241AbstractIn this paper, we propose a multilevel correction method for the convection-diffusioneigenvalue problems, and the method is a new type and efficien

30、cy to solve the eigenvalueproblems, which is suitable for not only simple but also multiple eigenvalues. In thismethod, solving eigenvalue problem is transformed to a series of solutions of boundaryvalue problem by the m

31、ultilevel method on the finest meshes and a serious of eigenvalueproblems on the coarsest finite element space. we prove that the accuracy of resultingeigenpair approximations can be improved after each correction step,

32、and in this paper,we give the theoretical proof of this scheme that almost can achieve the optimal accuracyas same as solving the corresponding boundary value problem. Our scheme is easy torealize with Matlab, and numeri