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 - <p style="text-align: justify;">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.</p>