A conforming enriched finite element method for Stokes interface problems. (15th June 2018)

• Record Type: Journal Article
• Authors: Wang, Hua; Chen, Jinru; Sun, Pengtao; Wang, Nan
• Is Part Of: Computers & mathematics with applications. Volume 75:issue 12(2018)
• Page Start: 4256
• Page End: 4271
• Publication Date: 2018-06-15
• Subjects: Conforming enriched finite element -- Interface-unfitted mesh -- Stokes interface problems; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2018.03.027
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: A new conforming enriched finite element method is presented for Stokes interface problems with interface-unfitted meshes. The conforming enriched finite element pair is constructed based on the MINI element pair. A ghost penalty term is used in the standard discretization form as a stabilization term. An inf–sup stability result is derived, which is uniform with respect to the mesh size. Our method does not limit the viscosity coefficient to be a piecewise constant. Finite element errors are proved to be optimal. Numerical experiments are carried out to validate theoretical results.