A p-adaptive algorithm for the BEM with the hypersingular operator on the plane screen

Weproposea p-adaptive algorithm for the Galerkin method solving the hypersingular integral operator of theLaplacian on theplanescre en. Thee rror indicators=estimators are based on projections of the actual error onto local subspaces. These subspaces are de>ned by decompositions of specially designed enriched ansatz spaces. Our algorithm uses di@erent strategies for the re>nement and the stopping criterion. The error estimator that stops the algorithm is based on an overlapping decomposition of an ansatz space that is de>ned by mesh re>nement. The error indicators that steer the p-re>nement are computed via an almost direct decomposition of an enriched ansatz space that uses the same mesh but higher polynomial degrees. Numerical results support the eAciency of our algorithm