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] Finite elements II

A Ern, JL Guermond - 2021 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

[图书][B] Mixed finite element methods and applications

D Boffi, F Brezzi, M Fortin - 2013 - Springer
About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …

[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 …

Adaptive mesh refinement for hyperbolic partial differential equations

MJ Berger, J Oliger - Journal of computational Physics, 1984 - Elsevier
An adaptive method based on the idea of multiple component grids for the solution of
hyperbolic partial differential equations using finite difference techniques is presented …

[图书][B] Computational contact mechanics

P Wriggers, TA Laursen - 2006 - Springer
Contact mechanics has its application in many engineering problems. No one can walk
without frictional contact, and no car would move for the same reason. Hence contact …

[图书][B] Meshfree methods: moving beyond the finite element method

GR Liu - 2009 - taylorfrancis.com
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking
WorkReflecting the significant advances made in the field since the publication of its …

A simple error estimator and adaptive procedure for practical engineerng analysis

OC Zienkiewicz, JZ Zhu - International journal for numerical …, 1987 - Wiley Online Library
A new error estimator is presented which is not only reasonably accurate but whose
evaluation is computationally so simple that it can be readily implemented in existing finite …

[图书][B] Finite elements: Theory, fast solvers, and applications in solid mechanics

D Braess - 2001 - books.google.com
" This definitive introduction to finite element methods has been updated thoroughly for this
third edition, which features important new material for both research and application of the …