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

Abstract

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.

References in corpus (1)

• An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms

Cited by in corpus (3)

• An automatic-adaptivity stabilized finite element method via residual minimization for heterogeneous, anisotropic advection-diffusion-reaction problems
• Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm
• A spatio-temporal adaptive phase-field fracture method