Convergence estimates for the acoustic scattering problem approximated by NURBS

Andrzej Karafiat

doi:10.24423/cames.60

Andrzej Karafiat Institute of Computer Science, Cracow University of Technology, Kraków

DOI: http://dx.doi.org/10.24423/cames.60

Abstract

The paper contains some estimates of an approximation to the solution of the problem of acoustic waves's scattering by an elastic obstacle in two dimensions. The problem is approximated by the isogeometric adaptive method based on the known NURBS functions. The estimates show how the error of an approximation depends on the size of intervals and the degree of functions.

Keywords

NURBS, adaptive methods, error estimates, acoustic scattering,

References

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