Journal article
Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations
Journal of computational and applied mathematics, Vol.372, p.112721
07/2020
DOI: 10.1016/j.cam.2020.112721
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.
Details
- Title: Subtitle
- Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations
- Creators
- Feifei Jing - Northwestern Polytechnical UniversityWeimin Han - Xi'an Jiaotong UniversityYongchao Zhang - Xi'an Jiaotong UniversityWenjing Yan - Xi'an Jiaotong University
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.372, p.112721
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cam.2020.112721
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Grant note
- 11971377; 11701451; 51790512 / National Natural Science Foundation of China (http://dx.doi.org/10.13039/501100001809) DMS-1521684 / National Science Foundation 2019JQ-173; 2019JM-367 / Natural Science Foundation of Shaanxi Province (http://dx.doi.org/10.13039/501100007128) 31020180QD078 / Fundamental Research Funds for the Central Universities (http://dx.doi.org/10.13039/501100012226)
- Language
- English
- Date published
- 07/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984241150102771
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