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Volume 2, Issue 0
Robin Transmission Conditions for Overlapping Additive Schwarz Method Applied to Linear Elliptic Problems

H. Li & J. Sun

Int. J. Numer. Anal. Mod., 2 (2005), pp. 83-99.

Published online: 2005-11

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  • 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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@Article{IJNAM-2-83, author = {H. Li and J. Sun}, title = {Robin Transmission Conditions for Overlapping Additive Schwarz Method Applied to Linear Elliptic Problems}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2005}, volume = {2}, number = {0}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/949.html} }
TY - JOUR T1 - Robin Transmission Conditions for Overlapping Additive Schwarz Method Applied to Linear Elliptic Problems AU - H. Li & J. Sun JO - International Journal of Numerical Analysis and Modeling VL - 0 SP - 83 EP - 99 PY - 2005 DA - 2005/11 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/949.html KW - AB -

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.

H. Li and J. Sun. (2005). Robin Transmission Conditions for Overlapping Additive Schwarz Method Applied to Linear Elliptic Problems. International Journal of Numerical Analysis and Modeling. 2 (0). 83-99. doi:
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