Pollution and accuracy of solutions of the Helmholtz equation: A novel perspective from the eigenvalues
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics
Reference26 articles.
1. Dispersion and pollution of the fem solution for the helmholtz equation in one, two and three dimensions;Deraemaeker;Internat. J. Numer. Methods Engrg.,1999
2. Is the pollution effect of the fem avoidable for the helmholtz equation considering high wave numbers?;Babuška;SIAM J. Numer. Anal.,1997
3. Finite element solution of the helmholtz equation with high wave number part ii: the hp version of the fem;Ihlenburg;SIAM J. Numer. Anal.,1997
4. Discrete dispersion relation for hp-version finite element approximation at high wave number;Ainsworth;SIAM J. Numer. Anal.,2004
5. Compact 2d and 3d sixth order schemes for the helmholtz equation with variable wave number;Turkel;J. Comput. Phys.,2013
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