Mathematics – Numerical Analysis
Scientific paper
2011-09-28
Mathematics
Numerical Analysis
Scientific paper
In this paper we present a convergence analysis for the Nystrom method proposed in [Jour. Comput. Phys. 169 pp. 2921-2934, 2001] for the solution of the combined boundary integral equation formulations of sound-soft acoustic scattering problems in three-dimensional space. This fast and efficient scheme combines FFT techniques and a polar change of variables that cancels out the kernel singularity. We establish the stability of the algorithms in the $L^2$ norm and we derive convergence estimates in both the $L^2$ and $L^\infty$ norms. In particular, our analysis establishes theoretically the previously observed super-algebraic convergence of the method in cases in which the right-hand side is smooth.
Bruno Oscar P.
Dominguez Victor
Sayas Francisco-Javier
No associations
LandOfFree
Convergence analysis of a high-order Nystrom integral-equation method for surface scattering problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Convergence analysis of a high-order Nystrom integral-equation method for surface scattering problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence analysis of a high-order Nystrom integral-equation method for surface scattering problems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-150859