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Volume 6, Issue 1
A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition

D. Sun, Q. Hu & S. Shu

Int. J. Numer. Anal. Mod., 6 (2009), pp. 147-160.

Published online: 2009-06

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  • Abstract

In this paper, we are concerned with a non-overlapping domain decomposition method with nonmatching grids. In this method, a new pointwise matching condition is used to define weak continuity of approximate solutions on the interface. The main merit of the new method is that numerical integrations can be avoided when calculating interface matrices. We derive an almost optimal error estimate of the resulting approximate solutions for two kinds of applicable situations. Some numerical experiments confirm the theoretical result.

  • Keywords

Domain decomposition, nonmatching grids, pointwise matching, error estimate.

  • AMS Subject Headings

65F10, 65N30, 65N55

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-6-147, author = {D. Sun, Q. Hu and S. Shu}, title = {A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2009}, volume = {6}, number = {1}, pages = {147--160}, abstract = {

In this paper, we are concerned with a non-overlapping domain decomposition method with nonmatching grids. In this method, a new pointwise matching condition is used to define weak continuity of approximate solutions on the interface. The main merit of the new method is that numerical integrations can be avoided when calculating interface matrices. We derive an almost optimal error estimate of the resulting approximate solutions for two kinds of applicable situations. Some numerical experiments confirm the theoretical result.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/760.html} }
TY - JOUR T1 - A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition AU - D. Sun, Q. Hu & S. Shu JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 147 EP - 160 PY - 2009 DA - 2009/06 SN - 6 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/760.html KW - Domain decomposition, nonmatching grids, pointwise matching, error estimate. AB -

In this paper, we are concerned with a non-overlapping domain decomposition method with nonmatching grids. In this method, a new pointwise matching condition is used to define weak continuity of approximate solutions on the interface. The main merit of the new method is that numerical integrations can be avoided when calculating interface matrices. We derive an almost optimal error estimate of the resulting approximate solutions for two kinds of applicable situations. Some numerical experiments confirm the theoretical result.

D. Sun, Q. Hu and S. Shu. (2009). A Domain Decomposition Method with Lagrange Multiplier Based on the Pointwise Matching Condition. International Journal of Numerical Analysis and Modeling. 6 (1). 147-160. doi:
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