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 …
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 …
Galerkin finite element methods that is based on duality principles as used in optimal …
[图书][B] Fluid-structure interactions: models, analysis and finite elements
T Richter - 2017 - books.google.com
This book starts by introducing the fundamental concepts of mathematical continuum
mechanics for fluids and solids and their coupling. Special attention is given to the derivation …
mechanics for fluids and solids and their coupling. Special attention is given to the derivation …
[图书][B] Robust numerical methods for singularly perturbed differential equations
HG Roos - 2008 - Springer
The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …
century, when approximate solutions were constructed from asymptotic expansions …
[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 …
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 …
Dilute Polymer Solutions The Rouse model Dumbbell models Closure Approximations …
[图书][B] Lecture notes in computational science and engineering
TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose… - 2005 - Springer
The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …
models based on differential equations. Initially, the FEniCS Project consisted of two …
[图书][B] A posteriori estimates for partial differential equations
S Repin - 2008 - degruyter.com
Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …
Goal-oriented error estimation and adaptivity for the finite element method
JT Oden, S Prudhomme - Computers & mathematics with applications, 2001 - Elsevier
In this paper, we study a new approach in a posteriori error estimation, in which the
numerical error of finite element approximations is estimated in terms of quantities of interest …
numerical error of finite element approximations is estimated in terms of quantities of interest …
On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors
S Prudhomme, JT Oden - Computer Methods in Applied Mechanics and …, 1999 - Elsevier
A method to estimate and control pointwise errors in finite element approximations of elliptic
problems is presented as an application of the more general theory of goal-oriented error …
problems is presented as an application of the more general theory of goal-oriented error …