We consider the application of least-squares variational principles to the numerical solution
of partial differential equations. Our main focus is on the development of least-squares finite …

In this paper we present a stabilized finite element formulation to solve the Oseen equations
as a model problem involving both convection effects and the incompressibility restriction …

We consider the application of least-squares finite element models combined with
spectral/hp methods for the numerical solution of viscous flow problems. The paper presents …

Least-squares finite element methods have become increasingly popular for the
approximate solution of first-order systems of partial differential equations. Here, after a brief …

The purpose of this paper is to analyze a finite element approximation of the stationary
Navier-Stokes equations that allows the use of equal velocity-pressure interpolation. The …

We discuss in this paper some implementation aspects of a finite element formulation for the
incompressible Navier–Stokes equations which allows the use of equal order velocity …

Since their emergence in the early 1950s, finite element methods have become one of the
most versatile and powerful methodologies for the approximate numerical solution of partial …

The L 2-norm version of first-order system least squares (FOSLS) attempts to reformulate a
given system of partial differential equations so that applying a least-squares principle yields …

This paper describes a finite element model to solve the incompressible Navier–Stokes
equations based on the stabilization with orthogonal subscales and a pressure segregation …

In this contribution we present a least-squares finite element formulation to model steady-
state flow of incompressible, non-Newtonian fluids in three dimensions including data …