Jz. Zhu et al., MESH ENRICHMENT AGAINST MESH REGENERATION USING QUADRILATERAL ELEMENTS, Communications in numerical methods in engineering, 9(7), 1993, pp. 547-554
An adaptive refinement procedure using a new automatic quadrilateral e
lement mesh generator is presented. The performance of the adaptive pr
ocedure in achieving a given accuracy with different mesh refinement s
trategies is compared. It is found that when using bilinear or biquadr
atic quadrilateral elements refinement strategies of both mesh enrichm
ent and mesh regeneration can lead to a prescribed accuracy being achi
eved by the Zienkiewicz-Zhu adaptive procedure1 with the optimal rate
of convergence. However, fewer mesh refinement steps are needed if the
strategy of mesh regeneration is employed with the newly developed au
tomatic quadrilateral element mesh generator.2