Combined CG-HDG Method for Elliptic Problems: Performance Model
File(s)
Author(s)
Vymazal, M
Moxey, D
Cantwell, C
Sherwin, S
Kirby, RM
Type
Working Paper
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.
Identifier
http://arxiv.org/abs/1811.11855v1
Subjects
physics.comp-ph
physics.comp-ph