Name
Title | ||
|---|---|---|
Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations. |
Abstract | ||
|---|---|---|
In this work, a residual type a posteriori error estimator is presented for finite element approximations of a variational inequality arising in hydrodynamics, which is governed by the stationary Stokes equations with a nonlinear slip boundary condition of friction type. Reliability of the estimator is rigorously proved, and efficient error control is analyzed, both are based on an equality problem with a Lagrangian multiplier. And an algorithm of recovering the multiplier is also provided. Numerical results are reported to illustrate the good performance of the estimator in the adaptive solution of the variational inequality, as well as the availability of the multiplier. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cam.2020.112721 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
Stokes equations,Variational inequality,Finite element method,A posteriori error estimator,Reliability and efficiency | Boundary value problem,Residual,Nonlinear system,Lagrange multiplier,Mathematical analysis,A priori and a posteriori,Multiplier (economics),Mathematics,Variational inequality,Estimator | Journal |
Volume | ISSN | Citations |
372 | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Feifei Jing | 1 | 4 | 2.86 |
| Weimin Han | 2 | 52 | 12.52 |
| Yongchao Zhang | 3 | 0 | 0.34 |
| Yan Wenjing | 4 | 6 | 5.89 |