A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form-Reference-Cited by-同舟云学术

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A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form

Published:2020-11-16 Issue:4 Volume:146 Page:729-782
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Duru Kenneth,Rannabauer Leonhard,Gabriel Alice-Agnes,Kreiss Gunilla,Bader Michael

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00211-020-01160-w.pdf

Reference41 articles.

1. Applied Mathematics and Mechanics;VV Achenbach,1973

2. Appelö, D., Kreiss, G.: A new absorbing layer for elastic waves. J. Comput. Phys. 215, 642–660 (2006)

3. Petersson, N.A., Sjögreen, B.: Perfectly matched layer for Maxwell’s equation in second order formulation. J. Comput. Phys. 209, 19–46 (2005)

4. Baffet, D., Bielak, J., Givoli, D., Hagstrom, T., Rabinovich, D.: Long-time stable high-order absorbing boundary conditions for elastodynamics. Comput. Methods Appl. Mech. Engrg. 241–244, 20–37 (2012)

5. Bécache, E., Fauqueux, S., Joly, P.: Stability of perfectly matched layers, group velocities and anisotropic waves. J. Comput. Phys. 188, 399–433 (2003)

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3. Analysis and Application of Two Novel Finite Element Methods for Solving Ziolkowski’s PML Model in the Integro-Differential Form;SIAM Journal on Numerical Analysis;2023-10-04

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