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arXiv · 1811.11855

Combined CG-HDG Method for Elliptic Problems: Performance Model

Martin Vymazal·David Moxey·Chris Cantwell·Spencer Sherwin·Robert M. Kirby
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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 examine the expected performance of a Galerkin solver that would use continuous Galerkin method with weak Dirichlet boundary conditions in each mesh partition and connect partitions weakly using trace variable as in HDG method.

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Martin Vymazal, David Moxey, Chris Cantwell, Spencer Sherwin, Robert M. Kirby. 2018-11-23. Combined CG-HDG Method for Elliptic Problems: Performance Model. https://arxiv.org/abs/1811.11855

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