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The design, implementation and analysis of a free library for boundaryelement calculations is presented. The library is free in the sense of the GNUGeneral Public Licence and is intended to allow users to solve a wide range ofproblems using the boundary element method. The library incorporates a fastmultipole method which is tailored to boundary elements of order higher thanzero, taking account of the finite extent of the elements in the generation ofthe domain tree. The method is tested on a sphere and on a cube, to test itsability to handle sharp edges, and is found to be accurate, efficient andconvergent.

BEM3D: a free adaptive fast multipole boundary element library