[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 …
[图书][B] Multiphysics phase-field fracture: modeling, adaptive discretizations, and solvers
T Wick - 2020 - books.google.com
This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …
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 …
[图书][B] Complex fluids
P Saramito - 2016 - Springer
Water and air behave in a similar way and their flow can be described in a very accurate
way by the Navier–Stokes equations. Others fluids behave differently: they cannot be …
way by the Navier–Stokes equations. Others fluids behave differently: they cannot be …
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 …
A locally conservative enriched Galerkin approximation and efficient solver for elliptic and parabolic problems
We present and analyze an enriched Galerkin finite element method (EG) to solve elliptic
and parabolic equations with jump coefficients. EG is formulated by enriching the …
and parabolic equations with jump coefficients. EG is formulated by enriching the …
Nonlinear preconditioning: How to use a nonlinear Schwarz method to precondition Newton's method
For linear problems, domain decomposition methods can be used directly as iterative
solvers but also as preconditioners for Krylov methods. In practice, Krylov acceleration is …
solvers but also as preconditioners for Krylov methods. In practice, Krylov acceleration is …
[图书][B] Preconditioning and the conjugate gradient method in the context of solving PDEs
Our times can be characterized by, among many other attributes, the seemingly increasing
speed of everything. Within science, it has led to the publication explosion, which reflects the …
speed of everything. Within science, it has led to the publication explosion, which reflects the …
Adaptive analysis using scaled boundary finite element method in 3D
In this paper, an adaptive refinement technique using the scaled boundary finite element
method (SBFEM) is proposed. The salient feature of this technique is that it is not required to …
method (SBFEM) is proposed. The salient feature of this technique is that it is not required to …
Two-side a posteriori error estimates for the dual-weighted residual method
In this work, we derive two-sided a posteriori error estimates for the dual-weighted residual
(DWR) method. We consider both single and multiple goal functionals. Using a saturation …
(DWR) method. We consider both single and multiple goal functionals. Using a saturation …