Finite element methods for incompressible viscous flow

R Glowinski - Handbook of numerical analysis, 2003 - Elsevier
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An overview of research on Eulerian–Lagrangian localized adjoint methods (ELLAM)

TF Russell, MA Celia - Advances in Water resources, 2002 - Elsevier
For problems of convection–diffusion type, Eulerian–Lagrangian localized adjoint methods
provide a methodology that maintains the accuracy and efficiency of Eulerian–Lagrangian …

[图书][B] Chebyshev and Fourier spectral methods

JP Boyd - 2001 - books.google.com
Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

[图书][B] Finite element methods for flow problems

J Donea, A Huerta - 2003 - books.google.com
In recent years there have been significant developments in the development of stable and
accurate finite element procedures for the numerical approximation of a wide range of fluid …

[图书][B] Multiscale finite element methods: theory and applications

Y Efendiev, TY Hou - 2009 - books.google.com
The aim of this monograph is to describe the main concepts and recent-vances in
multiscale? nite element methods. This monograph is intended for …

Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures

J Douglas, Jr, TF Russell - SIAM Journal on Numerical Analysis, 1982 - SIAM
Finite element and finite difference methods are combined with the method of characteristics
to treat a parabolic problem of the form cu_t+bu_x-(au_x)_x=f. Optimal order error estimates …

Comparison of some finite element methods for solving the diffusion-convection-reaction equation

R Codina - Computer methods in applied mechanics and …, 1998 - Elsevier
In this paper we describe several finite element methods for solving the diffusion-convection-
reaction equation. None of them is new, although the presentation is non-standard in an …

[图书][B] Scientific Computation

P Joly, A Quarteroni, J Rappaz - 2005 - Springer
Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

[图书][B] Finite element methods for viscous incompressible flows: a guide to theory, practice, and algorithms

MD Gunzburger - 2012 - books.google.com
Finite Element Methods for Viscous Incompressible Flows examines mathematical aspects
of finite element methods for the approximate solution of incompressible flow problems. The …

A mixed multiscale finite element method for elliptic problems with oscillating coefficients

Z Chen, T Hou - Mathematics of computation, 2003 - ams.org
The recently introduced multiscale finite element method for solving elliptic equations with
oscillating coefficients is designed to capture the large-scale structure of the solutions …