The modified radial integration boundary elements method (MRIBEM) has been developed. As a key idea of this approach, the domain integrals are computed by means of a modified radial integration method (MRIM). With the MRIBEM, we are able to deal with problems with concave shapes when the domain variables are approximated by global RBFs by defining an auxiliary point or, in case of complex domain shapes, two or more auxiliary points as the origin for radial integration.
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