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The alpha interpolation method for the solution of an eigenvalue problem

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Publication:1159959
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DOI10.1016/0771-050X(82)90002-XzbMath0476.65061MaRDI QIDQ1159959

Naotaka Okamoto, Hiroshi Niki, Hideo Sawami, Masatoshi Ikeuchi

Publication date: 1982

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

alpha interpolation methodweighted residual finite element method


Mathematics Subject Classification ID

Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)


Related Items (2)

A Petrov-Galerkin formulation for the alpha interpolation of FEM and FDM stencils: Applications to the Helmholtz equation ⋮ A fourth-order compact scheme for the Helmholtz equation: Alpha-interpolation of FEM and FDM stencils



Cites Work

  • Upwinding by Petrov-Galerkin methods in convection-diffusion problems
  • Convergence of the finite element method applied to the eigenvalue problem \(\Delta u+\lambda u=0\)
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