Adaptive Meshing With Boundary Elements (Topics in Engineering Vol. 41)

This title is devoted to the formulation and implementation of new reliable and efficient error indicators capable of providing adaptive meshing processes in the Boundary Element Method (BEM). It is organised in four sections. The first gives a review of the basic equations of solid mechanics, while the second presents the boundary integral equations required to formulate conventional and higher order boundary elements. The third section focuses on the computation of the stresses on the boundary and provides an attractive alternative global re-analysis technique which can be used to obtain accurate values for those quantities. In the final section the authors review some of the most relevant error indicators that have been proposed and present two new alternatives that can be used to estimate the error in the numerical solution obtained with the BEM.The self-contained treatment of topics and the new alternatives proposed to compute reliable and efficient error indicators make this text a valuable reference for readers interested in learning about adaptive meshing techniques, as well as for researchers working in the field.