Schwarz Waveform Relaxation for a Class of Non-dissipative Problems

Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 104)

Abstract

In this paper, we introduce the results for the Schwarz waveform relaxation (SWR) algorithm applied to a class of non-dissipative reaction diffusion equations. Both the Dirichlet and Robin transmission conditions (TCs) are considered. For the Dirichlet TC, we consider the algorithm for the nonlinear problem \(\partial _{t}u =\mu \partial _{xx}u + f(u)\), in the case of many subdomains.

Notes

Acknowledgement

The author is very grateful to Prof. Martin J. Gander, for his fund of the DD22 conference, his careful reading and revision of this paper, and his professional instructions in many fields.

This work was supported by the NSF of Science & Technology of Sichuan Province (2014JQ0035), the project of the Key Laboratory of Cambridge and Non-Destructive Inspection of Sichuan Institutes of Higher Education (2013QZY01) and the NSF of China (11301362, 11371157, 91130003).

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.School of ScienceSichuan University of Science and EngineeringSichuanPR China

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