Finite Element Analysis for Stokes and Navier-Stokes Equations Driven by Threshold Slip
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@Article{IJNAMB-4-235,
author = {J.K. DJOKO AND M. MBEHOU},
title = {Finite Element Analysis for Stokes and Navier-Stokes Equations Driven by Threshold Slip
Boundary}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {3}, pages = {235--255}, abstract = {This paper is devoted to the study of finite element approximations of variational inequalities with a special nonlinearity coming from boundary conditions. After re-writing the problems in the form of variational inequalities, a fixed point strategy is used to show existence of solutions. Next we prove that the finite element approximations for the Stokes and Navier Stokes equations converge respectively to the solutions of each continuous problems. Finally, Uzawa's algorithm is formulated and convergence of the procedure is shown, and numerical validation test is achieved.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/256.html} }
Boundary}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {3}, pages = {235--255}, abstract = {This paper is devoted to the study of finite element approximations of variational inequalities with a special nonlinearity coming from boundary conditions. After re-writing the problems in the form of variational inequalities, a fixed point strategy is used to show existence of solutions. Next we prove that the finite element approximations for the Stokes and Navier Stokes equations converge respectively to the solutions of each continuous problems. Finally, Uzawa's algorithm is formulated and convergence of the procedure is shown, and numerical validation test is achieved.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/256.html} }
TY - JOUR
T1 - Finite Element Analysis for Stokes and Navier-Stokes Equations Driven by Threshold Slip
Boundary AU - J.K. DJOKO AND M. MBEHOU JO - International Journal of Numerical Analysis Modeling Series B VL - 3 SP - 235 EP - 255 PY - 2013 DA - 2013/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/256.html KW - Stokes ⁄ Navier-Stokes equations KW - nonlinear slip boundary conditions KW - variational inequality KW - finite element method KW - error estimate KW - Uzawa's algorithm AB - This paper is devoted to the study of finite element approximations of variational inequalities with a special nonlinearity coming from boundary conditions. After re-writing the problems in the form of variational inequalities, a fixed point strategy is used to show existence of solutions. Next we prove that the finite element approximations for the Stokes and Navier Stokes equations converge respectively to the solutions of each continuous problems. Finally, Uzawa's algorithm is formulated and convergence of the procedure is shown, and numerical validation test is achieved.
Boundary AU - J.K. DJOKO AND M. MBEHOU JO - International Journal of Numerical Analysis Modeling Series B VL - 3 SP - 235 EP - 255 PY - 2013 DA - 2013/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/256.html KW - Stokes ⁄ Navier-Stokes equations KW - nonlinear slip boundary conditions KW - variational inequality KW - finite element method KW - error estimate KW - Uzawa's algorithm AB - This paper is devoted to the study of finite element approximations of variational inequalities with a special nonlinearity coming from boundary conditions. After re-writing the problems in the form of variational inequalities, a fixed point strategy is used to show existence of solutions. Next we prove that the finite element approximations for the Stokes and Navier Stokes equations converge respectively to the solutions of each continuous problems. Finally, Uzawa's algorithm is formulated and convergence of the procedure is shown, and numerical validation test is achieved.
J.K. DJOKO AND M. MBEHOU. (1970). Finite Element Analysis for Stokes and Navier-Stokes Equations Driven by Threshold Slip
Boundary. International Journal of Numerical Analysis Modeling Series B. 4 (3). 235-255. doi:
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Boundary. International Journal of Numerical Analysis Modeling Series B. 4 (3). 235-255. doi: