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Combined CG-HDG Method for Elliptic Problems: Performance Model

Authors
  • Vymazal, M
  • Moxey, D
  • Cantwell, C
  • Sherwin, S
  • Kirby, RM
Publication Date
Feb 03, 2020
Source
Spiral - Imperial College Digital Repository
Keywords
License
Unknown

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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