Geodesic
An alternating-direction iteration method for Helmholtz problems
Applications of Mathematics, Tome 38 (1993) no. 4-5, pp. 289-300.

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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.
DOI : 10.21136/AM.1993.104557
Classification : 35J05, 65F10, 65N06, 65N12
Keywords: noncoercive nonsymmetric problems; Helmholtz equation; finite difference; alternating-direction iteration method; time-stepping method; convergence; numerical examples 
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     title = {An alternating-direction iteration method for {Helmholtz} problems},
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Douglas, Jim; Hensley, Jeffrey L.; Roberts, Jean E. An alternating-direction iteration method for Helmholtz problems. Applications of Mathematics, Tome 38 (1993) no. 4-5, pp. 289-300. doi : 10.21136/AM.1993.104557. http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104557/

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