A-priori estimates of the hp-adaptive BEM in elastic scattering of acoustic waves

  • Andrzej Karafiat Cracow University of Technology

Abstract

In the paper some a-priori hp-adaptive error estimates, applied to the problem of acoustic wave scattering on an elastic body in the 2D space, solved by the Boundary Element Method, are presented. The estimate includes both the function- and boundary approximation errors.


 

Keywords

Boundary Element Method, acoustic scattering, hp- adaptive method, a-priori error estimate,

References

[1] S. Amini. On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem. Aplicable Ana!., 35: 79- 92, 1990.
[2] 1. Babuska, M. Dorr. Error estimates for the combined hand p version of the finite element method. Numer. Math., 37: 257- 277, 1981.
[3] 1. Babuska, B.Q. Guo, E.P. Stephan. On the exponential convergence of the h-p version for Boundary Element Galerkin Methods on polygons. Math. Methods Appl. Sci., 12: 413- 427, 1990.
[4] 1. Babuska, M. Suri. The h-p version of the finite element method with quasiuniform meshes, RAIRO, Math. Mod. Numer. Anal., 21: 199- 238, 1987.
[5] 1. Babuška, M. Suri. The optimal convergence rate of the p-version of the finite element method. SIAM J. Numer. Anal., 24: 750-776, 1987.
Published
Mar 29, 2023
How to Cite
KARAFIAT, Andrzej. A-priori estimates of the hp-adaptive BEM in elastic scattering of acoustic waves. Computer Assisted Methods in Engineering and Science, [S.l.], v. 7, n. 4, p. 559-570, mar. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1212>. Date accessed: 13 nov. 2024.
Citation Formats
Issue
Vol 7 No 4 (2000)
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.