Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number (Q2840610)

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scientific article; zbMATH DE number 6190113
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Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number
scientific article; zbMATH DE number 6190113

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    Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number (English)
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    23 July 2013
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    Helmholtz equation
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    time harmonic waves
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    local discontinuous Galerkin methods
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    stability
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    error estimates
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    The authors develop and analyze two local discontinuous Galerkin (LDG) methods using piecewise linear polynomials for the Helmholtz equation with a first-order absorbing boundary condition in the high frequency regime. They also provide a detailed stability analysis and derive error estimates for the proposed LDG methods.
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