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Corpus ID: 216641607

Optimization of two-level methods for DG discretizations of reaction-diffusion equations

@article{Lorca2020OptimizationOT,
title={Optimization of two-level methods for DG discretizations of reaction-diffusion equations},
author={Jos{\'e} Pablo Lucero Lorca and M. Gander},
journal={ArXiv},
year={2020},
volume={abs/2004.14100}
}

We analyze and optimize two-level methods applied to a symmetric interior penalty discontinuous Galerkin finite element discretization of a singularly perturbed reaction-diffusion equation. Previous analyses of such methods have been performed numerically by Hemker et. al. for the Poisson problem. Our main innovation is that we obtain explicit formulas for the optimal relaxation parameter of the two-level method for the Poisson problem in 1D, and very accurate closed form approximation formulas… CONTINUE READING