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000135770 0247_ $$2doi$$a10.1016/j.jcp.2024.113098
000135770 0248_ $$2sideral$$a138760
000135770 037__ $$aART-2024-138760
000135770 041__ $$aeng
000135770 100__ $$aMartínez-Lera, P.$$uUniversidad de Zaragoza
000135770 245__ $$aA finite element method for stochastic diffusion equations using fluctuating hydrodynamics
000135770 260__ $$c2024
000135770 5060_ $$aAccess copy available to the general public$$fUnrestricted
000135770 5203_ $$aWe present a finite element approach for diffusion problems with thermal fluctuations based on a fluctuating hydrodynamics model. The governing equations are stochastic partial differential equations with a fluctuating forcing term. We propose a discrete formulation of the fluctuating forcing term that has the correct covariance matrix up to a standard discretization error. Furthermore, we derive a linear mapping to transform the finite element solution into an equivalent discrete solution that is free of the artificial correlations introduced by the spatial discretization. The method is validated by applying it to two diffusion problems: a second-order diffusion equation and a fourth-order diffusion equation. The theoretical (continuum) solution to the first case presents spatially decorrelated fluctuations, while the second case presents fluctuations correlated over a finite length. In both cases, the numerical solution presents a structure factor that approximates well the continuum one.
000135770 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-113033GB-I00$$9info:eu-repo/grantAgreement/ES/MICINN/RYC2021-030948-I
000135770 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es
000135770 590__ $$a3.8$$b2024
000135770 592__ $$a1.685$$b2024
000135770 591__ $$aPHYSICS, MATHEMATICAL$$b2 / 61 = 0.033$$c2024$$dQ1$$eT1
000135770 593__ $$aApplied Mathematics$$c2024$$dQ1
000135770 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b66 / 177 = 0.373$$c2024$$dQ2$$eT2
000135770 593__ $$aComputational Mathematics$$c2024$$dQ1
000135770 593__ $$aPhysics and Astronomy (miscellaneous)$$c2024$$dQ1
000135770 593__ $$aModeling and Simulation$$c2024$$dQ1
000135770 593__ $$aNumerical Analysis$$c2024$$dQ1
000135770 593__ $$aComputer Science Applications$$c2024$$dQ1
000135770 594__ $$a7.9$$b2024
000135770 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000135770 700__ $$0(orcid)0000-0002-9361-4794$$aDe Corato, M.$$uUniversidad de Zaragoza
000135770 7102_ $$15001$$2600$$aUniversidad de Zaragoza$$bDpto. Ciencia Tecnol.Mater.Fl.$$cÁrea Mecánica de Fluidos
000135770 773__ $$g510 (2024), 113098 [20 pp.]$$pJ. comput. phys.$$tJournal of Computational Physics$$x0021-9991
000135770 8564_ $$s2036099$$uhttps://zaguan.unizar.es/record/135770/files/texto_completo.pdf$$yVersión publicada
000135770 8564_ $$s1980135$$uhttps://zaguan.unizar.es/record/135770/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000135770 909CO $$ooai:zaguan.unizar.es:135770$$particulos$$pdriver
000135770 951__ $$a2026-02-17-20:39:02
000135770 980__ $$aARTICLE