About: Parallel Shared-Memory Isogeometric Residual Minimization (iGRM) for Three-Dimensional Advection-Diffusion Problems

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type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Parallel Shared-Memory Isogeometric Residual Minimization (iGRM) for Three-Dimensional Advection-Diffusion Problems
Creator	Paszyński, Maciej Loś, Marcin Munoz-Matute, Judit Pingali, Keshav Podsiad Lo, Krzysztof
source	PMC
abstract	In this paper, we present a residual minimization method for three-dimensional isogeometric analysis simulations of advection-diffusion equations. First, we apply the implicit time integration scheme for the three-dimensional advection-diffusion equation. Namely, we utilize the Douglas-Gunn time integration scheme. Second, in every time step, we apply the residual minimization method for stabilization of the numerical solution. Third, we use isogeometric analysis with B-spline basis functions for the numerical discretization. We perform alternating directions splitting of the resulting system of linear equations, so the computational cost of the sequential LU factorization is linear [Formula: see text]. We test our method on the three-dimensional simulation of the advection-diffusion problem. We parallelize the solver for shared-memory machine using the GALOIS framework.
has issue date	2020-05-25(xsd:dateTime)
bibo:doi	10.1007/978-3-030-50436-6_10
has license	no-cc
sha1sum (hex)	e77eab71d15c7c61937b7c94c7584d5bc78b6135
schema:url	https://doi.org/10.1007/978-3-030-50436-6_10
resource representing a document's title	Parallel Shared-Memory Isogeometric Residual Minimization (iGRM) for Three-Dimensional Advection-Diffusion Problems
has PubMed Central identifier	PMC7304692
schema:publication	Computational Science - ICCS 2020
resource representing a document's body	covid:e77eab71d15c7c61937b7c94c7584d5bc78b6135#body_text
is schema:about of	named entity 'time step' named entity 'implicit' named entity 'Minimization' named entity 'FUNCTIONS' named entity 'USING' »more»

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