Applications of a space-time FOSLS formulation for parabolic PDEs-Reference-Cited by-同舟云学术

Applications of a space-time FOSLS formulation for parabolic PDEs

Published:2023-03-14 Issue:1 Volume:44 Page:58-82
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Gantner Gregor¹,Stevenson Rob²

Affiliation:

1. Institute of Analysis and Scientific Computing, TU Wien , Wiedner Hauptstraße 8-10, 1040 Vienna, Austria

2. Korteweg–de Vries (KdV) Institute for Mathematics, University of Amsterdam , PO Box 94248, 1090 GE Amsterdam, The Netherlands

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

https://academic.oup.com/imajna/article-pdf/44/1/58/56532062/drad012.pdf

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