An Hp-Adaptive Hierarchical Formulation for the Boundary Element Method Applied to Elasticity in Two Dimensions

this paper presents an hp-adaptive procedure with hierarchical formulation for the boundary element method in 2-d elasticity problems. firstly, h, p and hp formulations are defined. then, the hierarchical concept, which allows a substantial reduction in the dimension of equation system, is introduced. the error estimator used is based on the residual computation over each node inside an element. finally, the hp strategy is defined and applied to two examples.