Abstract

ALVARADO, Arlin  and  CASTILLO, Paul. Preconditioning of the LDG method for the vector Helmholtz equation. Rev. Mat [online]. 2016, vol.23, n.2, pp.339-360. ISSN 1409-2433.

A numerical study of a preconditioner for the vector Helmholtz equation based on the shifted Laplacian preconditioning technique is presented. The Local Discontinuous Galerkin (LDG) method is used as spatial discretization technique. Scalability of the preconditioner is validated on a series of numerical experiments in polyhedral domains for high order approximations on low frecuency problems in the real case.

Keywords : preconditioning; vector Helmholtz equation; LDG method.

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