Journal article
Adaptive discontinuous Galerkin methods for solving an incompressible Stokes flow problem with slip boundary condition of frictional type
Journal of computational and applied mathematics, Vol.371, p.112700
06/2020
DOI: 10.1016/j.cam.2019.112700
Abstract
We consider the numerical solution of a variational inequality arising in the study of an incompressible Stokes flow with a nonlinear slip boundary condition of frictional type. We study several discontinuous Galerkin (DG) schemes for solving the problem, and derive reliable and efficient residual type a posteriori error estimators. An adaptive DG method is constructed based on the error estimators to solve the problem. Some numerical examples are presented to illustrate the efficiency of the adaptive DG method.
Details
- Title: Subtitle
- Adaptive discontinuous Galerkin methods for solving an incompressible Stokes flow problem with slip boundary condition of frictional type
- Creators
- Fei Wang - Xi'an Jiaotong UniversityMin Ling - Xi'an Jiaotong UniversityWeimin Han - Xi'an Jiaotong UniversityFeifei Jing - Northwestern Polytechnical University
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.371, p.112700
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cam.2019.112700
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Grant note
- Fundamental Research Funds for the Central Universities of China (http://dx.doi.org/10.13039/501100012226) 11771350 / National Natural Science Foundation of China (http://dx.doi.org/10.13039/501100001809) NSF (http://dx.doi.org/10.13039/100000001) Natural Science Fundation of Shaanxi Province (http://dx.doi.org/10.13039/501100007128)
- Language
- English
- Date published
- 06/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984240762702771
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