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A Galerkin least-squares finite element method for the two-dimensional Helmholtz equation. (English) Zbl 0844.76060
The authors proposed a Galerkin least-squares finite element method, in which the residuals in least-squares form are added to the standard Galerkin variational equation, to solve the Helmholtz equation in two dimensions.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76Q05 Hydro- and aero-acoustics
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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