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• W2947363047 abstract "We combine continuous and discontinuous Galerkin methods in the setting of a model diffusion problem. Starting from a hybrid discontinuous formulation, we replace element interiors by more general subsets of the computational domain – groups of elements that support a piecewise-polynomial continuous expansion. This step allows us to identify a new weak formulation of Dirichlet boundary condition in the continuous framework. We show that the boundary condition leads to a stable discretization with a single parameter insensitive to mesh size and polynomial order of the expansion. The robustness of the approach is demonstrated on several numerical examples." @default.
• W2947363047 created "2019-06-07" @default.
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• W2947363047 date "2019-10-01" @default.
• W2947363047 modified "2023-09-27" @default.
• W2947363047 title "On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method" @default.
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• W2947363047 doi "https://doi.org/10.1016/j.jcp.2019.05.021" @default.
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