Brown, B. M.; Marletta, M. Spectral inclusion and spectral exactness for PDEs on exterior domains. (English) Zbl 1057.65079 IMA J. Numer. Anal. 24, No. 1, 21-43 (2004). Using the Dirichlet to Neumann map on the inner boundary, the authors give a method to identify spurious computed eigenvalues of elliptic partial differential equations (PDEs) on exterior domains. The method relies on the concepts of spectral inclusion and spectral exactness. To obtain results for non-self-adjoint problem the authors make certain additional assumptions. Their verification is discussed on presented examples. Numerical examples illustrate the efficiency of the method. Reviewer: Pavel Burda (Praha) Cited in 10 Documents MSC: 65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs 35P15 Estimates of eigenvalues in context of PDEs 35J25 Boundary value problems for second-order elliptic equations Keywords:eigenvalue problem; non-self-adjoint; spectral incluson; spectral exactness; Dirichlet to Neumann map; exterior domain; Numerical examples PDFBibTeX XMLCite \textit{B. M. Brown} and \textit{M. Marletta}, IMA J. Numer. Anal. 24, No. 1, 21--43 (2004; Zbl 1057.65079) Full Text: DOI