A new residue and nodal error evaluation in \(h\)-adaptive boundary element method (Q1803726)

Boundary element methods are now applied to various problems in engineering, and many strategies have been developed to improve the performance of boundary element analysis. In this paper an error indicator and the evaluation of nodal errors are proposed for the \(h\)- adaptive boundary element method. The definition of the proposed error indicator is based on a new residue calculated at collocation points only. The nodal error is evaluated from the approximated residue by solving an appropriate matrix equation. Convergence of the solution is estimated with the nodal error. The efficiency of the proposed strategy is proved through numerical examples.