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.

翻译：我们设计了一种稳定的方法,以弱力地强制实施对吸附占主导的扩散问题独立解决方案中的约束性限制。这种方法将非线性刑罚配方与不连续的加列尔金残留最小化方法结合起来。 我们通过适当的数字例子来说明这个方案对统一和适应性活性杂草的效率。