Sponsor
This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344. The work was partially supported by ARO under US Army Federal Grant # W911NF-15-1-0590.
Published In
Lecture Notes in Computational Science and Engineering
Document Type
Pre-Print
Publication Date
3-2017
Subjects
Least squares method, Partial differential equations -- Numerical solutions
Abstract
This work considers the combined space-time discretization of time-dependent partial differential equations by using first order least square methods. We also impose an explicit constraint representing space-time mass conservation. To alleviate the restrictive memory demand of the method, we use dimension reduction via accurate element agglomeration AMG coarsening, referred to as AMGe upscaling. Numerical experiments demonstrating the accuracy of the studied AMGe upscaling method are provided.
DOI
10.1007/978-3-319-52389-7_25
Persistent Identifier
http://archives.pdx.edu/ds/psu/25093
Citation Details
Neumüller M., Vassilevski P.S., Villa U.E. (2017) Space-Time CFOSLS Methods with AMGe Upscaling. In: Lee CO. et al. (eds) Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol 116. Springer, Cham
Description
This is the author's version of a paper presented at the 23rd International Conference on Domain Decomposition Methods in Science and Engineering, held on Jeju Island, Korea on July 6-10, 2015.
The definitive version is part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 116).
Copyright Springer International Publishing AG 2017