In this contribution we propose an optimally stable ultraweak Petrov-Galerkin variational formulation and subsequent discretization for stationary reactive transport problems. The discretization is exclusively based on the choice of discrete approximate test spaces, while the trial space is a priori infinite dimensional. The solution in the trial space or even only functional evaluations of the solution are obtained in a post-processing step. We detail the theoretical framework and demonstrate its usage in a numerical experiment that is motivated from modeling of catalytic filters.

翻译：本文提出了一种针对稳态反应输运问题的最优稳定超弱Petrov-Galerkin变分公式及其离散化方法。该离散化完全基于离散近似检验空间的选择，而试探空间先验地具有无限维性质。试探空间中的解，甚至仅需解的泛函求值，均在后处理步骤中获得。我们详细阐述了该理论框架，并通过一个以催化过滤器建模为背景的数值实验验证了其适用性。