A posteriori error estimation in finite element analysis

M Ainsworth, JT Oden - Computer methods in applied mechanics and …, 1997 - Elsevier
This monograph presents a summary account of the subject of a posteriori error estimation
for finite element approximations of problems in mechanics. The study primarily focuses on …

An optimal control approach to a posteriori error estimation in finite element methods

R Becker, R Rannacher - Acta numerica, 2001 - cambridge.org
This article surveys a general approach to error control and adaptive mesh design in
Galerkin finite element methods that is based on duality principles as used in optimal …

[图书][B] Adaptive finite element methods for differential equations

W Bangerth, R Rannacher - 2003 - books.google.com
These Lecture Notes have been compiled from the material presented by the second author
in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH …

[图书][B] Computational rheology

RG Owens, TN Phillips - 2002 - World Scientific
The following sections are included: Advances in Mathematical Modelling Dynamics of
Dilute Polymer Solutions The Rouse model Dumbbell models Closure Approximations …

Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow

HC Elman, A Ramage, DJ Silvester - ACM Transactions on Mathematical …, 2007 - dl.acm.org
IFISS is a graphical Matlab package for the interactive numerical study of incompressible
flow problems. It includes algorithms for discretization by mixed finite element methods and …

[图书][B] Reliable methods for computer simulation: Error control and posteriori estimates

P Neittaanmäki, SR Repin - 2004 - books.google.com
Recent decades have seen a very rapid success in developing numerical methods based
on explicit control over approximation errors. It may be said that nowadays a new direction is …

A residual-based a posteriori error estimator for the Stokes–Darcy coupled problem

I Babuška, GN Gatica - SIAM Journal on Numerical Analysis, 2010 - SIAM
In this paper we develop an a posteriori error analysis of a new conforming mixed finite
element method for the coupling of fluid flow with porous media flow. The flows are …

A posteriori error estimation for stabilized mixed approximations of the Stokes equations

D Kay, D Silvester - SIAM Journal on Scientific Computing, 1999 - SIAM
The practical implementation of the lowest-order P lP 0 (linear velocity, constant pressure)
finite element method for the steady-state incompressible (Navier--) Stokes equations is …

A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes–Darcy coupled problem

GN Gatica, R Oyarzúa, FJ Sayas - Computer Methods in Applied Mechanics …, 2011 - Elsevier
In this paper we develop an a posteriori error analysis of a new fully mixed finite element
method for the coupling of fluid flow with porous media flow in 2D. Flows are governed by …

Goal-oriented adaptive finite element multilevel Monte Carlo with convergence rates

J Beck, Y Liu, E von Schwerin, R Tempone - Computer Methods in Applied …, 2022 - Elsevier
In this study, we present an adaptive multilevel Monte Carlo (AMLMC) algorithm for
approximating deterministic, real-valued, bounded linear functionals that depend on the …