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• W2988103653 abstract "In this paper, we present a hybridized discontinuous Galerkin (HDG) method for Poisson-type problems with sign-changing coefficients. We introduce a sign-changing stabilization parameter that results in a stable HDG method independent of domain geometry and the ratio of the negative and positive coefficients. Since the Poisson-type problem with sign-changing coefficients is not elliptic, standard techniques with a duality argument to analyze the HDG method cannot be applied. Hence, we present a novel error analysis exploiting the stabilized saddle-point problem structure of the HDG method. Numerical experiments in two dimensions and for varying polynomial degree verify our theoretical results." @default.
• W2988103653 created "2019-11-22" @default.
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• W2988103653 date "2019-11-05" @default.
• W2988103653 modified "2023-09-27" @default.
• W2988103653 title "A hybridized discontinuous Galerkin method for Poisson-type problems with sign-changing coefficients." @default.
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