𝔖 Bobbio Scriptorium
✦   LIBER   ✦

New approaches to error estimation and adaptivity for the Stokes and Oseen equations

✍ Scribed by J.T. Oden; S. Prudhomme

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
214 KB
Volume
31
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis

We present a new approach to deliver reliable approximations of the norm of the residuals resulting from finite element solutions to the Stokes and Oseen equations. The method is based upon a global solve in a bubble space using iterative techniques. This provides an alternative to the classical equilibrated element residual methods for which it is necessary to construct proper boundary conditions for each local problem. The method is first used to develop a global a posteriori error estimator. It is then applied in a strategy to control the numerical error in specific outputs or quantities of interest which are functions of the solutions to the Stokes and Oseen equations.

πŸ“œ SIMILAR VOLUMES

A posteriori error estimation and adapti
A posteriori error estimation and adaptivity for elastoplasticity using the reciprocal theorem
✍ Fehmi Cirak; Ekkehard Ramm πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 231 KB πŸ‘ 1 views

We present a posteriori error estimators and adaptive methods for the ΓΏnite element approximation of nonlinear problems and especially elastoplasticity. The main characteristic of the proposed method is the introduction of duality techniques or in other notions the reciprocal theorem. For error esti

An iterative solver for the Oseen proble
An iterative solver for the Oseen problem and numerical solution of incompressible Navier–Stokes equations
✍ Maxim A. Olshanskii πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 136 KB πŸ‘ 2 views

Incompressible unsteady Navier-Stokes equations in pressure -velocity variables are considered. By use of the implicit and semi-implicit schemes presented the resulting system of linear equations can be solved by a robust and efficient iterative method. This iterative solver is constructed for the s

A posteriori error estimators for the st
A posteriori error estimators for the steady incompressible Navier–Stokes equations
✍ Daniela Arnica; Claudio Padra πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 279 KB πŸ‘ 1 views

A residual-based a posteriori error estimator for finite element discretizations of the steady incompressible Navier-Stokes equations in the primitive variable formulation is discussed. Though the estimator is similar to existing ones, an alternate derivation is presented, involving an abstract esti

A posteriori error estimation for finite
A posteriori error estimation for finite element solutions of Helmholtz’ equation. part I: the quality of local indicators and estimators
✍ I. BabuΕ‘ka; F. Ihlenburg; T. Strouboulis; S. K. Gangaraj πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 271 KB πŸ‘ 2 views

This paper contains a first systematic analysis of a posteriori estimation for finite element solutions of the Helmholtz equation. In this first part, it is shown that the standard a posteriori estimates, based only on local computations, severely underestimate the exact error for the classes of wav

A new approach for estimating the recrys
A new approach for estimating the recrystallization rate and equilibrium melting temperature
✍ Hong Gyun Kim; Richard E. Robertson πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 299 KB

A method is described for measuring the heat and rate of recrystallization following partial melting. The method uses a specific sequence of temperatures with a differential scanning calorimeter, and the melting and recrystallization processes were confirmed by optical observations. The method was a