Rr. Salagame et Ad. Belegundu, A SIMPLE P-ADAPTIVE REFINEMENT PROCEDURE FOR STRUCTURAL SHAPE OPTIMIZATION, Finite elements in analysis and design, 24(3), 1997, pp. 133-155
A methodology is developed in this paper to perform adaptive finite el
ement analysis using the p-method. The method is based on the use of l
ocal error indicators which measure the error in traction across the e
lements and residual inside the elements. A refinement procedure is co
upled with the error estimator for local polynomial escalation. The me
thod is used to solve problems in two-dimensional elasticity and its p
erformance is examined. The adaptive procedure of this type is very us
eful in many practical applications where it is necessary to evaluate
the response as accurately as possible. The application of the above p
-adaptive analysis to the problem of shape optimization of structures
is discussed. The benefits of using adaptive analysis for shape optimi
zation are demonstrated in the examples.