论文标题

非线性弱约束强制执行方法,用于向后主导的扩散问题

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

论文作者

Cier, Roberto J., Rojas, Sergio, Calo, Victor M.

论文摘要

我们设计了一种稳定的方法,以在对流为主导的扩散问题的离散解决方案中弱执行约束。该方法将非线性惩罚配方与不连续的盖尔金的残余最小化方法相结合。我们通过适当的数值示例说明了该方案对均匀和自适应网格的效率。

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.

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