Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems

Autor:	Karsten Urban, Valeria Simoncini, Julian Henning, Davide Palitta
Přispěvatelé:	Henning J., Palitta D., Simoncini V., Urban K.
Rok vydání:	2021
Předmět:	Reduction (complexity) Matrix (mathematics) Spacetime Space time Linear system Petrov–Galerkin method Applied mathematics Type (model theory) Space-Time discretization Petrov-Galerkin Matrix Equations Mathematics
Zdroj:	Lecture Notes in Computational Science and Engineering ISBN: 9783030558734 ENUMATH Numerical Mathematics and Advanced Applications ENUMATH 2019 : European Conference, Egmond aan Zee, The Netherlands, September 30-October 4 Lecture Notes in Computational Science and Engineering
DOI:	10.1007/978-3-030-55874-1_104
Popis:	Variational formulations of time-dependent PDEs in space and time yield (d + 1)-dimensional problems to be solved numerically. This increases the number of unknowns as well as the storage amount. On the other hand, this approach enables adaptivity in space and time as well as model reduction w.r.t. both type of variables. In this paper, we show that matrix oriented techniques can significantly reduce the computational timings for solving the arising linear systems outperforming both time-stepping schemes and other solvers.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aaed9e00895823e71a77335bba83be7e https://doi.org/10.1007/978-3-030-55874-1_104 Zobrazit plný text záznamu