We devise a stabilized method to weakly enforce bound constraints in the discrete solution of advection-dominated diffusion problems. This method combines a nonlinear penalty formulation with a discontinuous Galerkin-based residual minimization method. We illustrate the efficiency of this scheme for both uniform and adaptive meshes through proper numerical examples.
@article{arxiv.2008.01382,
title = {A nonlinear weak constraint enforcement method for advection-dominated diffusion problems},
author = {Roberto J. Cier and Sergio Rojas and Victor M. Calo},
journal= {arXiv preprint arXiv:2008.01382},
year = {2020}
}