A posteriori error estimation techniques in practical finite element analysis
In this paper we review the basic concepts to obtain a posteriori error estimates for the finite
element solution of an elliptic linear model problem. We give the basic ideas to establish …
element solution of an elliptic linear model problem. We give the basic ideas to establish …
[图书][B] The finite element method for three-dimensional thermomechanical applications
G Dhondt - 2004 - books.google.com
Though many'finite element'books exist, this book provides a unique focus on developing
the method for three-dimensional, industrial problems. This is significant as many methods …
the method for three-dimensional, industrial problems. This is significant as many methods …
A posteriori single-and multi-goal error control and adaptivity for partial differential equations
This work reviews goal-oriented a posteriori error control, adaptivity and solver control for
finite element approximations to boundary and initial-boundary value problems for stationary …
finite element approximations to boundary and initial-boundary value problems for stationary …
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 …
Adaptive mesh generation for curved domains
This paper considers the technologies needed to support the creation of adaptively
constructed meshes for general curved three-dimensional domains and outlines one set of …
constructed meshes for general curved three-dimensional domains and outlines one set of …
[图书][B] A posteriori error analysis via duality theory: with applications in modeling and numerical approximations
W Han - 2004 - books.google.com
This work provides a posteriori error analysis for mathematical idealizations in modeling
boundary value problems, especially those arising in mechanical applications, and for …
boundary value problems, especially those arising in mechanical applications, and for …
The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
We present a method for the computation of upper and lower bounds for linear-functional
outputs of the exact solutions to the two dimensional elasticity equations. The method can be …
outputs of the exact solutions to the two dimensional elasticity equations. The method can be …
Upper bounds of the error in local quantities using equilibrated and compatible finite element solutions for linear elastic problems
JPM de Almeida, OJBA Pereira - Computer Methods in Applied Mechanics …, 2006 - Elsevier
When local quantities are computed using the principle of virtual work, dual analysis, which
provides an upper bound of the global error, may also be applied to the virtual problem …
provides an upper bound of the global error, may also be applied to the virtual problem …
A posteriori error estimation for acoustic wave propagation problems
The main purpose of this paper is to review a posteriori error estimators for the simulation of
acoustic wave propagation problems by computational methods. Residual-type (explicit and …
acoustic wave propagation problems by computational methods. Residual-type (explicit and …
Adaptive hpq finite element methods for the analysis of 3D-based models of complex structures. Part 2. A posteriori error estimation
G Zboinski - Computer Methods in Applied Mechanics and …, 2013 - Elsevier
This is the second paper out of a series of papers devoted to model-and hpq-adaptive finite
element methods assigned for the modeling and analysis of elastic structures of complex …
element methods assigned for the modeling and analysis of elastic structures of complex …