Journal
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
Volume 30, Issue 1, Pages 227-261Publisher
SPRINGER JAPAN KK
DOI: 10.1007/s13160-012-0098-5
Keywords
Finite element method; Stokes equations; Boundary conditions of friction type; Variational inequality; Uzawa algorithm
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Funding
- CREST, JST
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A finite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip boundary condition of friction type, is considered. We propose an approximate problem formulated by a variational inequality, prove an existence and uniqueness result, present an error estimate, and discuss a numerical realization using an iterative Uzawa-type method. Several numerical examples are provided to support our theoretical results.
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