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A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number

A Hybridizable Discontinuous Galerkin Method for the Helmholtz Equation with High Wave Number

This paper analyzes the error estimates of the hybridizable discontinuous Galerkin (HDG) method for the Helmholtz equation with high wave number in two and three dimensions. The approximation piecewise polynomial spaces we deal with are of order $p\geq 1$. Through choosing a specific parameter and using the duality argument, it …