An introduction to linear and nonlinear finite element analysis: a computational approach

PK Kythe, D Wei, M Okrouhlik - Appl. Mech. Rev., 2004 - asmedigitalcollection.asme.org
The book is intended as a textbook for undergraduate and graduate students from
engineering, geophysics, and applied mathematics. Very broad spectrum of engineering …

Simulation of incompressible non-Newtonian flows through channels with sudden expansion using the power-law model

R Manica, AL de Bortoli - Trends in Computational and Applied …, 2003 - tema.sbmac.org.br
The goal of this work is to analyze incompressible Newtonian and non-Newtonian flows
through channels with sudden expansion. The governing equations are solved using the …

Asymptotic analysis of a non-Newtonian fluid in a thin domain with Tresca law

M Boukrouche, R El Mir - Nonlinear Analysis: Theory, Methods & …, 2004 - Elsevier
In this paper we prove first the existence and uniqueness results for the weak solution, to the
stationary equations for non-Newtonian and incompressible fluid in a three-dimensional …

Implicit differential equation arising in the steady flow of a Sisko fluid

FT Akyildiz, K Vajravelu, RN Mohapatra… - Applied Mathematics …, 2009 - Elsevier
Consideration is given to the thin film flow of a Sisko fluid on a moving belt. Using the implicit
function theorem, an existence result for the solution of the resulting non-linear differential …

A penalty method for approximation of the stationary Stokes–Darcy problem

WW Han, YL Jiang - Journal of Computational and Applied Mathematics, 2025 - Elsevier
In this work, the penalty method is studied for the mixed Stokes–Darcy problem, motivated
by the penalty method applied to Stokes equation. This work first proposes the penalty …

A two-grid decoupled penalty finite element method for the stationary Stokes–Darcy problem

WW Han, YL Jiang - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
In this paper, a two-grid decoupled penalty finite element method has been constructed for
solving the mixed Stokes-Darcy model. We first introduce a penalty Stokes-Darcy model …

New insights on the Stokes paradox for flow in unbounded domains

IG Gjerde, L Ridgway Scott - The European Physical Journal Plus, 2024 - Springer
Stokes flow equations, used to model creeping flow, are a commonly used simplification of
the Navier–Stokes equations. In infinite domains, they admit a fundamental paradox. In this …

On the numerical solution of the stationary power-law Stokes equations: A penalty finite element approach

JK Djoko, JM Lubuma, M Mbehou - Journal of Scientific Computing, 2016 - Springer
In this work, we study the penalty finite element approximation of the stationary power law
Stokes problem. We prove uniform convergence of the finite element solution with respect to …

Non‐Newtonian stokes flow with frictional boundary conditions

F Saidi - Mathematical Modelling and Analysis, 2007 - Taylor & Francis
In this work we deal with the boundary value problem for the non‐Newtonian fluid flow with
boundary conditions of friction type, mostly by means of variational inequalities. Among …

[PDF][PDF] Dufour and Soret effects of a transient free convective flow with radiative heat transfer past a flat plate moving through a binary mixture

OP Oladapo - Pasific Journal of Science and Technology, 2010 - Citeseer
An approximate numerical solution for the Dufour and Soret effects of a transient free
convective flow with radiative heat transfer past a flat plate moving through a binary mixture …