On a Stable Spectral Method for the grad(div) Eigenvalue Problem

Author:

Azaïez M.,Gruber R.,Deville M. O.,Mund E. H.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference14 articles.

1. Azaïez M., Bernardi C., Grundmann M. (1994). Spectral method applied to porous media. East–West J. Numer. Math. 2, 91–105

2. Azaïez M., Ben Belgacem F., Grundmann M., Khallouf H. (1998). Staggered grids hybrid-dual spectral element method for second-order elliptic problems. application to high-order time splitting for Navier–Stokes equations. Comput. Meth. Appl. Mech. and Engrg. 166, 183–199

3. Bernardi C., Maday Y. (1992). Approximations Spectrales de Problèmes aux limites elliptiques. Springer, Paris

4. Brezzi F., Fortin M. (1991). Mixed and hybrid finite element methods. Springer Series in Computational Mathematics, 15, Springer, Berlin.

5. Brezzi, F. (1974). On the existence, uniqueness and approximation of saddle point problems arising from lagrange multipliers. R.A.I.R.O. Anal. Numér. 8 R2, 129–151.

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1. Nature of the transmission eigenvalue spectrum for elastic bodies;IMA Journal of Applied Mathematics;2012-02-09

2. Legendre spectral methods for the -grad (div) operator with free boundary conditions;Numerical Algorithms;2009-01-16

3. Legendre spectral methods for the −grad(div) operator;Computer Methods in Applied Mechanics and Engineering;2007-09

4. A primal formulation for the Helmholtz decomposition;Journal of Computational Physics;2007-07

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