01631022

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01631022 Liu, Jinzhao Liang, Guoping Hu, Qiya The explicit scheme of Lagrangian multiplier domain decomposition method dependent on time. Chin. J. Numer. Math. Appl. 23, No.2, 85-98 (2001); translation from Math. Numer. Sin. 23, No.1, 95-105 (2001). 2001 Allerton Press, New York, NY EN non-matching grids Lagrange multiplier domain decomposition explicit scheme Uzawa algorithm condition number Summary: We introduce and study an explicit scheme of the Lagrangian multiplier domain decomposition method dependent on time. The Uzawa algorithm is introduced to solve the interior displacement variables and the boundary multiplier variables. It is shown shown that the condition number of the stiffness matrix of the Lagrangian multiplier has a constant bound, i.e. $O(1)$. Numerical experiments indicate that the method is very efficient.