首页|The Finite Element Method for the Navier–Stokes Equation with a Frictional Interface Condition
The Finite Element Method for the Navier–Stokes Equation with a Frictional Interface Condition
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NETL
NSTL
Springer Nature
Abstract This work deals with the finite element approximation of the non-stationary Navier–Stokes equations with a friction-type leak interface condition. We propose a fully discrete finite element scheme. The discrete variational inequality can be expressed equally as a Lagrange multiplier formulation. We demonstrate the stability and well-posedness of the discrete scheme and derive the error estimates. Additionally, we introduce the Uzawa algorithms and examine its convergence.Numerical examples are presented to confirm the theoretical results.
Navier–Stokes equationsFinite element methodFrictional leak conditionVariational inequalityError estimate
Rui Luo、Ping Zeng、Guanyu Zhou
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University of Electronic Science and Technology of China
NETL
NSTL
Springer Nature
