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

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

Published online: 2007-11

Preview Full PDF 1 897
Export citation

Cited by

• 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.

• Keywords

@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.