An Optimally Stable Approximation of Reactive Transport Using Discrete Test and Infinite Trial Spaces

DOI10.1007/978-3-031-40860-1_30arXiv2303.15943MaRDI QIDQ6191854

Christian Engwer, Mario Ohlberger, Unnamed Author

Publication date: 12 February 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.15943

zbMATH Keywords

reactive transportoptimal stabilityultraweak formulation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Transport equations (35Q49)

Cites Work

• A class of discontinuous Petrov-Galerkin methods. I: The transport equation
• A priori error analysis of high-order LL* (FOSLL*) finite element methods
• The \textsc{Dune} framework: basic concepts and recent developments
• First-Order System $\CL\CL^*$ (FOSLL*): Scalar Elliptic Partial Differential Equations
• (Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods
• Adaptive Petrov--Galerkin Methods for First Order Transport Equations
• An ultraweak space-time variational formulation for the wave equation: Analysis and efficient numerical solution

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