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noncoercive nonsymmetric problems; Helmholtz equation; finite difference; alternating-direction iteration method; time-stepping method; convergence; numerical examples
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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