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 estimateReferences
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[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.
