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A method of finding the eigenvalues and eigenfunctions of self-adjoint elliptic operators

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Publication:1139924
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DOI10.1016/0045-7825(76)90045-1zbMath0434.65082OpenAlexW1968315697MaRDI QIDQ1139924

J. P. Gregoire, J. Planchard, Jean-Claude Nédélec

Publication date: 1976

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(76)90045-1


zbMATH Keywords

eigenvaluenumerical exampleseigenfunctionssmooth boundaryelliptic operatorsfinite differences or finite elements approximations


Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)


Related Items (4)

Computation of the acoustic eigenfrequencies of cavities containing a tube bundle ⋮ Eigenfrequencies of a tube bundle placed in a confined fluid ⋮ The Dirichlet-to-Neumann operator via hidden compactness ⋮ Numerical stability in the calculation of eigenfrequencies using integral equations



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