Decompositions of high-frequency Helmholtz solutions and application to the finite element method

Author:

Lafontaine David

Publisher

Cellule MathDoc/CEDRAM

Subject

General Medicine

Reference27 articles.

1. [1] I. M. Babuška and S. A. Sauter. Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? SIAM Review, pages 451–484, 2000.

2. [2] T. Betcke, S. N. Chandler-Wilde, I. G. Graham, S. Langdon, and M. Lindner. Condition number estimates for combined potential boundary integral operators in acoustics and their boundary element discretisation. Numer. Methods Partial Differential Eq., 27(1):31–69, 2011.

3. [3] N. Burq. Semi-classical estimates for the resolvent in nontrapping geometries. International Mathematics Research Notices, 2002(5):221–241, 2002.

4. [4] F. Cardoso and G. Popov. Quasimodes with exponentially small errors associated with elliptic periodic rays. Asymptotic Analysis, 30(3, 4):217–247, 2002.

5. [5] M. Costabel, M. Dauge, and S. Nicaise. Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains. 2010. hal-00453934

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