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- Title
Applications of a space-time FOSLS formulation for parabolic PDEs.
- Authors
Gantner, Gregor; Stevenson, Rob
- Abstract
In this work, we show that the space-time first-order system least-squares formulation (Führer, T. & Karkulik, M. (2021) Space–time least-squares finite elements for parabolic equations. Comput. Math. Appl. 92 , 27–36) for the heat equation and its recent generalization (Gantner, G. & Stevenson, R. (2021) Further results on a space-time FOSLS formulation of parabolic PDEs. ESAIM Math. Model. Numer. Anal. 55 , 283–299) to arbitrary second-order parabolic partial differential equations can be used to efficiently solve parameter-dependent problems, optimal control problems and problems on time-dependent spatial domains.
- Publication
IMA Journal of Numerical Analysis, 2024, Vol 44, Issue 1, p58
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/drad012