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 …

This paper is concerned with the design and analysis of adaptive wavelet methods for
systems of operator equations. Its main accomplishment is to extend the range of …

This paper is concerned with recent developments of wavelet schemes for the numerical
treatment of operator equations with special emphasis on two issues: adaptive solution …

The left ventricle (LV) pumps oxygenated blood from the lungs to the rest of the body through
systemic circulation. The efficiency of such a pumping function is dependent on blood flow …

This paper develops and analyzes two least-squares methods for the numerical solution of
linear, stationary incompressible Newtonian fluid flow in two and three dimensions. Both …

We consider a non-standard mixed approach for the Stokes problem in which the velocity,
the pressure, and the pseudostress are the main unknowns. Alternatively, the pressure can …

In this paper we review recent developments in the analysis of finite element methods for
incompressible flow problems with local projection stabilization (LPS). These methods …

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 …

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 …