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- W2977189314 abstract "In this paper, hybridizable discontinuous Galerkin (HDG) methods using scalar and vector hybrid variables for steady-state diffusion problems are considered. We propose a unified framework to analyze the methods, where both the hybrid variables are treated as double-valued functions. If either of them is single valued, the well-posedness is ensured under some assumptions on approximation spaces. Moreover, we prove that all methods are superconvergent, based on the so-called $M$-decomposition theory. Numerical results are presented to validate our theoretical results." @default.
- W2977189314 created "2019-10-03" @default.
- W2977189314 creator A5064416478 @default.
- W2977189314 date "2018-11-02" @default.
- W2977189314 modified "2023-09-27" @default.
- W2977189314 title "Unified analysis of HDG methods using scalar and vector hybrid variables" @default.
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- W2977189314 hasPublicationYear "2018" @default.
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