<i>h</i>‐Hierarchical adaptive boundary element method using local reanalysis

Abstract

Abstract 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.