Combined CG-HDG Method for Elliptic Problems: Performance Model
Computational Physics
2018-11-30 v1
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.
Cite
@article{arxiv.1811.11855,
title = {Combined CG-HDG Method for Elliptic Problems: Performance Model},
author = {Martin Vymazal and David Moxey and Chris Cantwell and Spencer Sherwin and Robert M. Kirby},
journal= {arXiv preprint arXiv:1811.11855},
year = {2018}
}