Application Of The Sensitivity Analysis Of An
Error Estimator To The Generation Of An
Adaptive Remeshing Strategy
Author(s)
G. Bugeda
Abstract
This work proposes a new adaptive remeshing strategy based on the sensitivity
of the point wise error in stresses with respect to the nodal coordinates, which is
computed using the adjoint-state method. This sensitivity provides information
about the influence of the discretization of each zone of the computational
domain in the estimation of the error in stresses at a specific point. This
information is also used for the development of an adaptive remeshing strategy
that provides a strict and economical control of this error.
Keywords: adaptive remeshing, error estimator, sensitivity analysis.
1 Introduction
In the solid mechanics context, the idea of improving the mesh quality by using a
sensitivity analysis is not new. The first historical reference comes from McNeic
and Marcal [1], who proposed to improve a mesh by minimizing the potential
energy of the structural problem with respect to the nodal coordinates. Another
important reference comes from Kang et al. [2], who maximized the deformation
energy with respect to the nodal coordinates. These works allow a mesh with a
fixed topology to be optimized.
On the other hand, it is possible to obtain specific adaptive remeshing
strategies for the control of the point wise error of any physical quantity related
with the structural analysis (see Bugeda [3]), but the control of the pollution
error (see Babuška et al. [4, 5]) obligates to control the local error everywhere,
this producing globally adapted meshes with a very high number of degrees of
freedom. Nevertheless, when doing a structural analysis we know very often
Keywords
adaptive remeshing, error estimator, sensitivity analysis.
Related Book
Other papers in this volume
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