Trefftz boundary element method for domains with slits

摘要

This paper is concerned with the implementation of the Trefftz boundary element method, for the analysis of two-dimensional potential problems in domains with thin internal or edge cavities. Each cavity is treated as an infinitely thin slit defined in a single region, for which a particular solution of the problem is known. This solution procedure which does not generate new unknowns in the problem, satisfies exactly the specified boundary conditions along the slit boundaries. Furthermore, the strength of the singularity, defined at the tip of each slit, is directly computed by the solver.