A nonlinear weak constraint enforcement method for advection-dominated diffusion problems

08/04/2020

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by   Roberto J. Cier, et al.

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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.