A Petrov-Galerkin formulation for the alpha interpolation of FEM and FDM stencils: Applications to the Helmholtz equation-Reference-Cited by-同舟云学术

A Petrov-Galerkin formulation for the alpha interpolation of FEM and FDM stencils: Applications to the Helmholtz equation

Published:2011-11-14 Issue:11 Volume:89 Page:1367-1391
ISSN:0029-5981
Container-title:International Journal for Numerical Methods in Engineering
language:en
Short-container-title:Int. J. Numer. Meth. Engng

Author:

Nadukandi Prashanth¹²,Oñate Eugenio¹²,Garcia Julio¹²

Affiliation:

1. Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE); Edifici C1, Campus Norte UPC, C/ Gran Capitán S/N; 08034 Barcelona Spain

2. Universitat Politècnica de Catalunya (UPC); Edifici C1, C/ Jordi Girona 1-3; 08034 Barcelona Spain

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/nme.3291/fullpdf

Reference23 articles.

1. A fourth-order compact scheme for the Helmholtz equation: alpha-interpolation of FEM and FDM stencils;Nadukandi;International Journal for Numerical Methods in Engineering,2011

2. Generalized functions and dispersion relations in physics;Güttinger;Fortschritte der Physik,1966

3. Farassat F Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics Technical Report NASA-TP-3428 1994 http://hdl.handle.net/2060/19940029887

4. Convergence of the finite element method applied to the eigenvalue problem Δu + λu = 0;Ishihara;Publications of the Research Institute for Mathematical Sciences,1977

5. The alpha interpolation method for the solution of an eigenvalue problem;Niki;Journal of Computational and Applied Mathematics,1982

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