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 …
Review of output-based error estimation and mesh adaptation in computational fluid dynamics
KJ Fidkowski, DL Darmofal - AIAA journal, 2011 - arc.aiaa.org
Error estimation and control are critical ingredients for improving the reliability of
computational simulations. Adjoint-based techniques can be used to both estimate the error …
computational simulations. Adjoint-based techniques can be used to both estimate the error …
[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 …
Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
We give an overview of recent developments concerning the use of adjoint methods in two
areas: the a posteriori error analysis of finite element methods for the numerical solution of …
areas: the a posteriori error analysis of finite element methods for the numerical solution of …
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 …
Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows
DA Venditti, DL Darmofal - Journal of Computational Physics, 2003 - Elsevier
An anisotropic, unstructured grid adaptive method is presented for improving the accuracy of
functional outputs of viscous, compressible flow simulations for general discretizations. The …
functional outputs of viscous, compressible flow simulations for general discretizations. The …
Adjoint recovery of superconvergent functionals from PDE approximations
Motivated by applications in computational fluid dynamics, a method is presented for
obtaining estimates of integral functionals, such as lift or drag, that have twice the order of …
obtaining estimates of integral functionals, such as lift or drag, that have twice the order of …
[图书][B] Finite element methods for the incompressible Navier-Stokes equations
R Rannacher - 2000 - Springer
These notes are based on lectures given in a Short Course on Theoretical and Numerical
Fluid Mechanics in Vancouver, British Columbia, Canada, July 27–28, 1996, and at several …
Fluid Mechanics in Vancouver, British Columbia, Canada, July 27–28, 1996, and at several …
A posteriori error estimates for control problems governed by Stokes equations
W Liu, N Yan - SIAM journal on numerical analysis, 2002 - SIAM
In this paper, we derive a posteriori error estimates for the finite element approximation of
distributed optimal control problems governed by the Stokes equations. We obtain a …
distributed optimal control problems governed by the Stokes equations. We obtain a …