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 …

We consider least-squares finite element models for the numerical solution of the non-
stationary Navier–Stokes equations governing viscous incompressible fluid flows. The paper …

In this paper we apply the recently developed mimetic discretization method to the mixed
formulation of the Stokes problem in terms of vorticity, velocity and pressure. The mimetic …

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 …

Least-squares spectral element methods seem very promising since they combine the
generality of finite element methods with the accuracy of the spectral methods and also the …

The opinion that least-squares methods are not useful due to their poor mass conserving
property should be revised. It will be shown that least-squares spectral element methods …

We consider the application of least-squares variational principles and the finite element
method to the numerical solution of boundary value problems arising in the fields of solid …

In this paper, an h∕ p spectral element method with least-square formulation for parabolic
interface problem will be presented. The regularity result of the parabolic interface problem …

A Legendre spectral element formulation of an improved time-splitting method is developed
for the natural convection heat transfer problem in a square cavity. The convection term …

We present least-squares based finite element formulations for the numerical solution of
viscous fluid flows governed by the Navier–Stokes equations, as an alternate approach to …