EXTERNAL FINITE-ELEMENT APPROXIMATIONS OF EIGENFUNCTIONS IN THE CASE OF MULTIPLE-EIGENVALUES

[摘要] The paper deals with the finite-element analysis of second-order elliptic eigenvalue problems when the approximate domains OMEGA(h) are not subdomains of the original domain OMEGA subset-of R2. The considerations are restricted to piecewise linear approximations. Special attention is devoted to the convergence of approximate eigenfunctions in the case of multiple exact eigenvalues. As yet the approximate solutions have been compared with linear combinations of exact eigenfunctions with coefficients depending on the mesh parameter h. We avoid this disadvantage.

[发布日期] 1994-05-20

[关键词] EXTERNAL FINITE-ELEMENT METHOD;EIGENVALUE PROBLEM;MULTIPLE EIGENVALUES