Applications of a space-time FOSLS formulation for parabolic PDEs
Numerical Analysis
2024-02-05 v1 Numerical Analysis
Abstract
In this work, we show that the space-time first-order system least-squares (FOSLS) formulation [F\"uhrer, Karkulik, Comput. Math. Appl. 92 (2021)] for the heat equation and its recent generalization [Gantner, Stevenson, ESAIM Math. Model. Numer. Anal. 55 (2021)] to arbitrary second-order parabolic PDEs can be used to efficiently solve parameter-dependent problems, optimal control problems, and problems on time-dependent spatial domains.
Keywords
Cite
@article{arxiv.2208.09616,
title = {Applications of a space-time FOSLS formulation for parabolic PDEs},
author = {Gregor Gantner and Rob Stevenson},
journal= {arXiv preprint arXiv:2208.09616},
year = {2024}
}