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性传输问题的最优稳定超弱佩特罗夫-伽辽金变分公式及其离散化方法。该离散化完全基于离散近似试验空间的选择，而试探空间先验地为无限维空间。通过在后续处理步骤中求解试探空间中的解或仅对解进行泛函求值，我们详细阐述了理论框架，并通过一个源自催化过滤器建模的数值实验展示了其应用。