Volume 16, Issue 4
The Mortar Element Method with Lagrange Multipliers for Stokes Problem

Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 16 (2007), pp. 328-340

• Abstract

In this paper, we propose a mortar element method with Lagrange multiplier for incompressible Stokes problem, i.e., the matching constraints of velocity on mortar edges are expressed in terms of Lagrange multipliers. We also present $P_1$ nonconforming element attached to the subdomains. By proving inf-sup condition, we derive optimal error estimates for velocity and pressure. Moreover, we obtain satisfactory approximation for normal derivatives of the velocity across the interfaces.

• History

Published online: 2007-11

• Keywords