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.

中文翻译：

---

对流控制扩散问题的非线性弱约束强制方法

摘要 我们设计了一种稳定的方法，在对流主导扩散问题的离散解中弱强制约束约束。该方法将非线性惩罚公式与基于不连续伽辽金的残差最小化方法相结合。我们通过适当的数值例子说明了该方案对于均匀网格和自适应网格的效率。