h-Hierarchical adaptive boundary element method using local reanalysis

An adaptive boundary element scheme is developed using the concept of local reanalysis and h-hierarchical functions for the construction of near-optimal computational models. The use of local reanalysis in the error estimation guarantees the reliability of the modelling process while the use of quadratic and quartic h-hieararchical elements guarantees the efficiency of the adaptive algorithm. The technique is developed for the elastic analysis of two-dimensional models. Numerical examples show the rapid convergence of the results with a few refinement steps.