Convergence of the T-matrix approach in scattering theory. II
(1983) In Journal of Mathematical Physics 24(11). p.2619-2631- Abstract
- Convergence of the T-matrix scheme is proved under more general assumptions than in Ramm [J. Math. Phys. 23, 1123–5 (1982)] and for more general boundary conditions. Stability of the numerical scheme towards small perturbations of data and convergence of the expansion coefficients are established. Dependence of the rate of convergence on the choice of basis functions is discussed. Dependence of the quality of expansions in various spherical waves on the shape of the obstacle is discussed.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1040661
- author
- Kristensson, Gerhard LU ; Ramm, Alexander and Ström, Staffan
- publishing date
- 1983
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Mathematical Physics
- volume
- 24
- issue
- 11
- pages
- 2619 - 2631
- publisher
- American Institute of Physics (AIP)
- external identifiers
-
- scopus:0001735518
- ISSN
- 0022-2488
- DOI
- 10.1063/1.525635
- language
- English
- LU publication?
- no
- id
- 655655cc-4418-4e17-8269-c0d43e8ad5ed (old id 1040661)
- alternative location
- http://link.aip.org/link/?JMAPAQ/24/2619/1
- date added to LUP
- 2016-04-04 09:43:31
- date last changed
- 2021-09-12 04:37:14
@article{655655cc-4418-4e17-8269-c0d43e8ad5ed, abstract = {{Convergence of the T-matrix scheme is proved under more general assumptions than in Ramm [J. Math. Phys. 23, 1123–5 (1982)] and for more general boundary conditions. Stability of the numerical scheme towards small perturbations of data and convergence of the expansion coefficients are established. Dependence of the rate of convergence on the choice of basis functions is discussed. Dependence of the quality of expansions in various spherical waves on the shape of the obstacle is discussed.}}, author = {{Kristensson, Gerhard and Ramm, Alexander and Ström, Staffan}}, issn = {{0022-2488}}, language = {{eng}}, number = {{11}}, pages = {{2619--2631}}, publisher = {{American Institute of Physics (AIP)}}, series = {{Journal of Mathematical Physics}}, title = {{Convergence of the T-matrix approach in scattering theory. II}}, url = {{http://dx.doi.org/10.1063/1.525635}}, doi = {{10.1063/1.525635}}, volume = {{24}}, year = {{1983}}, }