Mass-based mathematical models have been formulated to describe the evolution of
species mass fraction, pressure, velocity, density and mass diffusion flux in porous pellets for …

A general framework is developed, using the least squares method (LSM), for the solution of
a generalized population balance equation. The basic idea in the LSM is to minimize the …

Least-squares spectral element methods are based on two important and successful
numerical methods: spectral/hp element methods and least-squares finite element methods …

Sorption enhanced steam methane reforming (SE-SMR) is a promising process for the
production of H2. The in situ removal of CO2 in the steam methane reforming (SMR) process …

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 …

The combined CFD–PBM (population balance models) are computationally intensive, so a
possibility is to calculate only a few moments of the probability density function (PDF) of the …

We consider the application of Fictitious Domain approach combined with least squares
spectral elements for the numerical solution of fluid dynamic incompressible equations …

In this paper we examine the roles of minimization and linearization in the least-squares
finite element formulations of nonlinear boundary-values problems. The least-squares …

This paper addresses the development of a Discontinuous Spectral Least-Squares method.
Based on pre-multiplication with a mesh-dependent function a discontinuous functional can …

In dispersed gas–liquid flows, the bubble size distribution plays an important role in the
phase structure and interphase forces, which, in turn, determine the multiphase …