First-order system least squares for the Oseen equations
نویسندگان
چکیده
منابع مشابه
First-order system least squares for the Oseen equations
Following earlier work for Stokes equations, a least-squares functional is developed for twoand three-dimensional Oseen equations. By introducing a velocity flux variable and associated curl and trace equations, ellipticity is established in an appropriate product norm. The form of Oseen equations examined here is obtained by linearizing the incompressible Navier-Stokes equations. An algorithm ...
متن کاملFirst-order System Least Squares for the Navier-stokes Equations
This paper develops a least-squares approach to the solution of the incompressible Navier-Stokes equations in primitive variables. As with our earlier work on Stokes equations, we recast the Navier-Stokes equations as a first-order system by introducing a velocity flux variable and associated curl and trace equations. We show that the resulting system is well-posed, and that an associated least...
متن کاملFirst-order System Least-squares Methods for Partial Differential Equations
In recent years there has been lots of interest in the use of first-order system leastsquares method (FOSLS) for numerical approximations of elliptic partial differential equations, Stokes equations, elasticity and Navier-Stokes equations. In this paper we will provide a brief review of FOSLS around elliptic problems and Stokes equations. FOSLS is to find a minimization solution which minimizes...
متن کاملMeshfree First-order System Least Squares
We prove convergence for a meshfree first-order system least squares (FOSLS) partition of unity finite element method (PUFEM). Essentially, by virtue of the partition of unity, local approximation gives rise to global approximation in H(div) ∩ H(curl). The FOSLS formulation yields local a posteriori error estimates to guide the judicious allotment of new degrees of freedom to enrich the initial...
متن کاملFirst - Order System Least - Squares for Second - Order
The rst-order system least-squares methodology represents an alternative to standard mixed nite element methods. Among its advantages is the fact that the nite element spaces approximating the pressure and ux variables are not restricted by the inf-sup condition and that the least-squares functional itself serves as an appropiate error measure. This paper studies the rst-order system least-squa...
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: Numerical Linear Algebra with Applications
سال: 2006
ISSN: 1070-5325,1099-1506
DOI: 10.1002/nla.485