Abstract

The discretisation of integral operators leads to fully populated matrices. In Sections 10.1–10.5, those integral operators are treated which arise from the reformulation of elliptic boundary value problems. The particular case of integral formulations for the Helmholtz equation is studied in Section 10.4. The inversion of the BEM matrix is considered in Section 10.5. Finally, we discuss general Fredholm and Volterra integral operators in Sections 10.6–10.7. A related problem are convolution integrals (see Section 10.8).

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