An optimally stable approximation of reactive transport using discrete test and infinite trial spaces

Renelt, Lukas; Ohlberger, Mario; Engwer, Christian

Research article in edited proceedings (conference)

Abstract

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.

Details zur Publikation

Book title: Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems
Release year: 2023
ISBN: 978-3-031-40860-1
Language in which the publication is written: English
Event: Cham
Link to the full text: https://link.springer.com/chapter/10.1007/978-3-031-40860-1_30