Author(s)

Ch. Lage & Ch. Schwab

Abstract

We present a boundary element method on general polyhedral surfaces in space. The shape functions are piecewise constant multiwavelets. The N x N stiffness matrix is numerically sparse, i.e. only O(7V(log 7V)^) entries with a-priori known locations need to be computed. Numerical results for > 10^ unknowns are pre- sented. 1 Model Problem and BIE Formulation Let ft C R^ be a bounded polyhedron with NQ straight faces I\ and bound- ary F — cttl In H, consider the problem Af7 = 0 in n, U = f on F. (1) We look for U(x) in the form of a double layer potential, i.e. U(x) - "*" «(») dS(y) =: K(x, y)u(y) dS(y) (2) " r r with n(y) the exterior unit normal at y G F, and obtain the BIE K(x, y)u(y)dS(y) = f(x

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