Author:
Bauer M.,Bebendorf M.,Feist B.
Abstract
AbstractA method for the kernel-independent construction of $$\mathcal {H}^2$$
H
2
-matrix approximations to non-local operators is proposed. Special attention is paid to the adaptive construction of nested bases. As a side result, new error estimates for adaptive cross approximation (ACA) are presented which have implications on the pivoting strategy of ACA.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Reference32 articles.
1. Acosta, G., Borthagaray, J.P.: A fractional Laplace equation: regularity of solutions and finite element approximations. SIAM J. Numer. Anal. 55(2), 472–495 (2017)
2. Ainsworth, M., Clusa, C.: Towards an efficient finite element method for the integral fractional laplacian on polygonal domains. In: Contemporary Computational Mathematics—A Celebration of the 80th Birthday of Ian Sloan, pp. 17–58. Springer, Cham (2018)
3. Arya, S., Mount, D.M.: Approximate nearest neighbor searching. In: Proceedings of 4th Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 271–280. ACM Press, New York (1993)
4. Arya, S., Mount, D.M.: Approximate range searching. In: Proceedings of 11th Annual ACM Symposium on Computational Geometry, pp. 172–181. ACM Press, New York (1995)
5. Arya, S., Mount, D.M., Netanyahu, N.S., Silverman, R., Wu, A.Y.: An optimal algorithm for approximate nearest neighbor searching. J. ACM 45, 891–923 (1998)
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献