Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation
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- by Isaías Alonso-Mallo and Nuria Reguera PDF
- Math. Comp. 73 (2004), 127-142 Request permission
Abstract:
Recently, some absorbing boundary conditions for Schrödinger-type equations have been studied by Fevens, Jiang and Alonso-Mallo, and Reguera. These conditions make it possible to obtain a very high absorption at the boundary avoiding the nonlocality of transparent boundary conditions. However, the implementations used in the literature, where the boundary condition is chosen in a manual way in accordance with the solution or fixed independently of the solution, are not practical because of the small absorption. In this paper, a new practical adaptive implementation is developed that allows us to obtain automatically a very high absorption.References
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Additional Information
- Isaías Alonso-Mallo
- Affiliation: Departamento de Matemática Aplicada y Computación, Universidad de Valladolid, Valladolid, Spain
- Email: isaias@mac.cie.uva.es
- Nuria Reguera
- Affiliation: Departamento de Matemáticas y Computación, Universidad de Burgos, Burgos, Spain
- Email: nreguera@ubu.es
- Received by editor(s): November 20, 2001
- Received by editor(s) in revised form: May 7, 2002
- Published electronically: June 6, 2003
- Additional Notes: The authors have obtained financial support from MCYT BFM 2001-2013 and JCYL VA025/01
- © Copyright 2003 American Mathematical Society
- Journal: Math. Comp. 73 (2004), 127-142
- MSC (2000): Primary 65M12, 65M20; Secondary 65M99
- DOI: https://doi.org/10.1090/S0025-5718-03-01548-5
- MathSciNet review: 2034113