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

Y. Q. Jiang

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

Published online: 2007-11

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  • 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.

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@Article{NM-16-328, author = {Y. Q. Jiang}, title = {The Mortar Element Method with Lagrange Multipliers for Stokes Problem}, journal = {Numerical Mathematics, a Journal of Chinese Uniersities}, year = {2007}, volume = {16}, number = {4}, pages = {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.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/10062.html} }
TY - JOUR T1 - The Mortar Element Method with Lagrange Multipliers for Stokes Problem AU - Y. Q. Jiang JO - Numerical Mathematics, a Journal of Chinese Uniersities VL - 4 SP - 328 EP - 340 PY - 2007 DA - 2007/11 SN - 16 DO - http://dor.org/ UR - https://global-sci.org/intro/nm/10062.html KW - AB - 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.
Y. Q. Jiang. (1970). The Mortar Element Method with Lagrange Multipliers for Stokes Problem. Numerical Mathematics, a Journal of Chinese Uniersities. 16 (4). 328-340. doi:
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