@article{5f80507091ff430db6dbb8d39e9aaafe,
title = "Synchronous and concurrent multidomain computing method for cloud computing platforms",
abstract = "We present a numerical method for synchronous and concurrent solution of transient elastodynamics problem where the computational domain is divided into subdomains that may reside on separate computational platforms. This work employs the variational multiscale discontinuous Galerkin (VMDG) method to develop interdomain transmission conditions for transient problems. The fine-scale modeling concept leads to variationally consistent coupling terms at the common interfaces. The method admits a large class of time discretization schemes, and decoupling of the solution for each subdomain is achieved by selecting any explicit algorithm. Numerical tests with a manufactured solution problem show optimal convergence rates. The energy history in a free vibration problem is in agreement with that of the solution from a monolithic computational domain.",
keywords = "Concurrent solutions, Elastodynamics, Explicit time integration, Interface coupling, Multiple computational subdomains, Variational multiscale methods",
author = "Marcelino Anguiano and Paul Kuberry and Pavel Bochev and Arif Masud",
note = "Funding Information: \ast Received by the editors July 1, 2020; accepted for publication (in revised form) April 5, 2021; published electronically July 20, 2021. https://doi.org/10.1137/20M1349278 \bfF \bfu \bfn \bfd \bfi \bfn \bfg : This work was supported by National Science Foundation (NSF) grant NSF-DMS-16-20231 and Sandia National Laboratories (SNL) grant DOE-SNL-2089151. This support is gratefully acknowledged. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA-0003525. This paper describes objective technical results and analysis. Any subjective views or opinions that might be expressed in the paper do not necessarily represent the views of the U.S. Department of Energy or the United States Government. The U.S. Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Government purposes. Copyright is owned by SIAM to the extent not limited by these rights. SAND2021-7789 J. Funding Information: This work was supported by National Science Foundation (NSF) grant NSF-DMS-16-20231 and Sandia National Laboratories (SNL) grant DOE-SNL-2089151. This support is gratefully acknowledged. Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA-0003525. This paper describes objective technical results and analysis. Any subjective views or opinions that might be expressed in the paper do not necessarily represent the views of the U.S. Department of Energy or the United States Government. The U.S. Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Government purposes. Copyright is owned by SIAM to the extent not limited by these rights. SAND2021-7789 J. Publisher Copyright: {\textcopyright} 2021 National Technology and Engineering Solutions of Sandia, LLC.",
year = "2020",
doi = "10.1137/20M1349278",
language = "English (US)",
pages = "S565--S591",
journal = "SIAM Journal on Scientific Computing",
issn = "1064-8275",
publisher = "Society for Industrial and Applied Mathematics Publications",
}