[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 …
impact of computer technology, the growing importance of computer modelling and the …
Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations
A Ern, M Vohralík - SIAM Journal on Numerical Analysis, 2015 - SIAM
We present equilibrated flux a posteriori error estimates in a unified setting for conforming,
nonconforming, discontinuous Galerkin, and mixed finite element discretizations of the two …
nonconforming, discontinuous Galerkin, and mixed finite element discretizations of the two …
On the verification of model reduction methods based on the proper generalized decomposition
P Ladeveze, L Chamoin - Computer Methods in Applied Mechanics and …, 2011 - Elsevier
In this work, we introduce a consistent error estimator for numerical simulations performed
by means of the proper generalized decomposition (PGD) approximation. This estimator …
by means of the proper generalized decomposition (PGD) approximation. This estimator …
[图书][B] Finite elements: an introduction to the method and error estimation
I Babuska, J Whiteman, T Strouboulis - 2010 - books.google.com
Most of the many books on finite elements are devoted either to mathematical theory or to
engineering applications, but not to both. This book seeks to bridge the gap by presenting …
engineering applications, but not to both. This book seeks to bridge the gap by presenting …
An introductory review on a posteriori error estimation in finite element computations
L Chamoin, F Legoll - SIAM Review, 2023 - SIAM
This article is a review of basic concepts and tools devoted to a posteriori error estimation for
problems solved with the finite element method. For the sake of simplicity and clarity, we …
problems solved with the finite element method. For the sake of simplicity and clarity, we …
[HTML][HTML] A review of VMS a posteriori error estimation with emphasis in fluid mechanics
G Hauke, D Irisarri - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
This article outlines the research on the application of the variational multiscale theory
(VMS) to a posteriori error estimation. VMS theory was initially developed by Professor …
(VMS) to a posteriori error estimation. VMS theory was initially developed by Professor …
Hybridizable discontinuous Galerkin with degree adaptivity for the incompressible Navier–Stokes equations
A degree adaptive Hybridizable Discontinuous Galerkin (HDG) method for the solution of the
incompressible Navier–Stokes equations is presented. The key ingredient is an accurate …
incompressible Navier–Stokes equations is presented. The key ingredient is an accurate …
Hybridizable discontinuous Galerkin p‐adaptivity for wave propagation problems
G Giorgiani, S Fernández‐Méndez… - International Journal for …, 2013 - Wiley Online Library
SUMMARY A p‐adaptive hybridizable discontinuous Galerkin method for the solution of
wave problems is presented in a challenging engineering problem. Moreover, its …
wave problems is presented in a challenging engineering problem. Moreover, its …
Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM
V Tsiolakis, M Giacomini, R Sevilla, C Othmer… - Computer physics …, 2020 - Elsevier
The computational cost of parametric studies currently represents the major limitation to the
application of simulation-based engineering techniques in a daily industrial environment …
application of simulation-based engineering techniques in a daily industrial environment …
[HTML][HTML] Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information
M Giacomini, S Perotto - Computers & Mathematics with Applications, 2022 - Elsevier
A finite element-based image segmentation strategy enhanced by an anisotropic mesh
adaptation procedure is presented. The methodology relies on a split Bregman algorithm for …
adaptation procedure is presented. The methodology relies on a split Bregman algorithm for …