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An alternating-direction iteration method for Helmholtz problems

Jim DouglasJeffrey L. HensleyJean Elizabeth Roberts — 1993

Applications of Mathematics

An alternating-direction iterative procedure is described for a class of Helmholz-like problems. An algorithm for the selection of the iteration parameters is derived; the parameters are complex with some having positive real part and some negative, reflecting the noncoercivity and nonsymmetry of the finite element or finite difference matrix. Examples are presented, with an applications to wave propagation.

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