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  Microlocal approach towards construction of nonreflecting boundary conditions

Vaibhav, V. (2014). Microlocal approach towards construction of nonreflecting boundary conditions. JOURNAL OF COMPUTATIONAL PHYSICS, 272, 588-607. doi:10.1016/j.jcp.2014.04.050.

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 Creators:
Vaibhav, V.1, Author           
Affiliations:
1Optical Quantum Information Theory, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_2364705              

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Free keywords: NONLINEAR SCHRODINGER-EQUATIONS; PERFECTLY MATCHED LAYER; MODULATIONAL INSTABILITY; DARK SOLITONS; OPTICAL-FIBER; TRANSPARENT; WAVESComputer Science; Physics; Artificial boundary conditions; Nonlinear evolution equations; Non-compactly supported initial data;
 Abstract: This paper addresses the problem of construction of non-reflecting boundary condition for certain second-order nonlinear dispersive equations. It is shown that using the concept of microlocality it is possible to relax the requirement of compact support of the initial data. The method is demonstrated for a class of initial data such that outside the computational domain it behaves like a continuous-wave. The generalization is detailed for two existing schemes in the framework of pseudo-differential calculus, namely, Szeftel's method (Szeftel (2006) [1]) and gauge transformation strategy (Antoine et al. (2006) [2]). Efficient numerical implementation is discussed and a comparative performance analysis is presented. The paper also briefly surveys the possibility of extension of the method to higher-dimensional PDEs. (C) 2014 Elsevier Inc. All rights reserved.

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Language(s): eng - English
 Dates: 2014
 Publication Status: Issued
 Pages: 20
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: ISI: 000336620900030
DOI: 10.1016/j.jcp.2014.04.050
 Degree: -

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Title: JOURNAL OF COMPUTATIONAL PHYSICS
Source Genre: Journal
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Publ. Info: 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA : ACADEMIC PRESS INC ELSEVIER SCIENCE
Pages: - Volume / Issue: 272 Sequence Number: - Start / End Page: 588 - 607 Identifier: ISSN: 0021-9991