Robin Transmission Conditions for Overlapping Additive Schwarz Method Applied to Linear Elliptic Problems

Robin Transmission Conditions for Overlapping Additive Schwarz Method Applied to Linear Elliptic Problems

Year:    2005

International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Online First : pp. 83–99

Abstract

We consider overlapping Additive Schwarz Method (ASM) with Robin conditions as the transmission conditions (interior boundary conditions). The main difficulty left in this field is how to select the parameters for Robin conditions — these parameters have strong effect on the convergence rate of ASM. In this paper, we proposed the parameters for linear elliptic problems which seemed to be near optimal.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-IJNAM-949

International Journal of Numerical Analysis and Modeling, Vol. 2 (2005), Online First : pp. 83–99

Published online:    2005-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords: