Implementation and investigation of iterative solvers in the Discrete Sources Method

Autor:	Yuri Eremin, Vladimir Schmidt, Thomas Wriedt, Roman Schuh
Rok vydání:	2011
Předmět:	Radiation Iterative method Computer science Computation Linear system Krylov subspace Solver Computer Science::Numerical Analysis Generalized minimal residual method Atomic and Molecular Physics and Optics Light scattering Biconjugate gradient stabilized method Applied mathematics Spectroscopy
Zdroj:	Journal of Quantitative Spectroscopy and Radiative Transfer. 112:1697-1704
ISSN:	0022-4073
DOI:	10.1016/j.jqsrt.2011.01.018
Popis:	The implementation of iterative methods as solvers for the Discrete Sources Method (DSM) is presented. In this method, light scattering computation linear systems with dense and relative small matrices are generated. The linear systems are traditionally solved using the QR-decomposition method. For large particles or particles with extreme geometries even this commonly stable solver can fail. In these cases, we expect that iterative methods can provide a satisfying solution nevertheless. We will present our investigation in two consecutive papers. Here, we study four different iterative solvers (RGMRES, BiCGStab, BiCGStab(l), and MinRes) considering the performance and the accuracy for typical light scattering problems. Using these iterative methods we increased the quality of a solution, especially for oblate spheroids with a higher aspect ratio. Preconditioning technique is considered in the following paper.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::645b6793b9465af319d6e93bab1073d1 https://doi.org/10.1016/j.jqsrt.2011.01.018 Zobrazit plný text záznamu Full Text from ScienceDirect