Here is a comprehensive introduction to the least-squares finite element method (LSFEM)
for numerical solution of PDEs. It covers the theory for first-order systems, particularly the div …

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 …

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 …

Some least-squares mixed finite element methods for convection-diffusion problems, steady
or nonstationary, are formulated, and convergence of these schemes is analyzed. The main …

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 …

In this contribution three different mixed least-squares finite element methods (LSFEMs) are
investigated with respect to accuracy and efficiency with simultaneous consideration of …

A least‐squares mixed finite element (LSMFE) schemes are formulated to solve the 1D
regularized long wave (RLW) equations and the convergence is discussed. The L2 error …

This paper focuses on the least-squares finite element method and its three variants for
obtaining efficient numerical solutions to convection-dominated convection–diffusion …

A theoretical analysis of the L2 least-squares finite element method (LSFEM) for solving the
Stokes equations in the velocity–vorticity–pressure (VVP) first-order system formulation with …

We present and analyze a first order least squares method for convection dominated
diffusion problems, which provides robust L 2 a priori error estimate for the scalar variable …