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

Authors

  • Andrzej Karafiat Cracow University of Technology
    Poland

Keywords:

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

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.

 

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.

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Published

2023-03-29

Issue

Vol. 7 No. 4 (2000)
pp. 559-570

Section

Articles

License

Copyright © The Author(s).

This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.

How to Cite

Karafiat, A. (2023). A-priori estimates of the hp-adaptive BEM in elastic scattering of acoustic waves. Computer Assisted Methods in Engineering and Science, 7(4), 559-570. https://cames3.ippt.pan.pl/index.php/cames/article/view/1212