Optimal error Estimates for the Stokes and Navier–Stokes equations with slip–boundary condition
نویسندگان
چکیده
منابع مشابه
A Posteriori Error Estimates for the Stokes Equations: a Comparison
When numerically solving a set of partial differential equations through a finite element strategy associated with a weak formulation, one usually faces the problem of increasing the accuracy of the solution without adding unnecessary degrees of freedom in non-critical parts of the computational domain. In order to identify these regions, indicators were created which allow their automatic dete...
متن کاملA Posteriori Error Estimator for Mixed Approximation of the Navier-Stokes Equations with the Boundary Condition
In this paper, we introduce the Navier-Stokes equations with a new boundary condition. In this context, we show the existence and uniqueness of the solution of the weak formulation associated with the proposed problem. To solve this latter, we use the discretization by mixed finite element method. In addition, two types of a posteriori error indicator are introduced and are shown to give global...
متن کاملWeighted Inf-sup Condition and Pointwise Error Estimates for the Stokes Problem
Convergence of mixed finite element approximations to the Stokes problem in the primitive variables is examined in maximum norm. Quasioptimal pointwise error estimates are derived for discrete spaces satisfying a weighted inf-sup condition similar to the Babuska -Brezzi condition. The usual techniques employed to prove the inf-sup condition in energy norm can be easily extended to the present s...
متن کاملAnalyticity estimates for the Navier-Stokes equations
We study spatial analyticity properties of solutions of the Navier-Stokes equation and obtain new growth rate estimates for the analyticity radius. We also study stability properties of strong global solutions of the Navier-Stokes equation with data in H, r ≥ 1/2 and prove a stability result for the analyticity radius.
متن کاملOptimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
An optimal control problem for 2d and 3d Stokes equations is investigated with pointwise control constraints. This paper is concerned with the discretization of the control by piecewise constant functions. The state and the adjoint state are discretized by finite element schemes. In the paper a postprocessing strategy is suggested, which allows for significant improvement of the accuracy.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1999
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:1999126