A priori error analysis for transient problems using Enhanced Velocity approach in the discrete-time setting

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dc.contributor.authorAmanbek, Yerlan
dc.contributor.authorWheeler, Mary F.
dc.date.accessioned2019-12-11T06:20:59Z
dc.date.available2019-12-11T06:20:59Z
dc.date.issued2019-12
dc.descriptionhttps://www.sciencedirect.com/science/article/pii/S0377042719302432en_US
dc.description.abstractTime discretization along with space discretization is important in the numerical simulation of subsurface flow applications for long run. In this paper, we derive theoretical convergence error estimates in discrete-time setting for transient problems with the Dirichlet boundary condition. Enhanced Velocity Mixed FEM as domain decomposition method is used in the space discretization and the backward Euler method and the Crank–Nicolson method are considered in the discrete-time setting. Enhanced Velocity scheme was used in the adaptive mesh refinement dealing with heterogeneous porous media for single phase flow and transport and demonstrated as mass conservative and efficient method. Numerical tests validating the backward Euler theory are presented. These error estimates are useful in the determining of time step size and the space discretization size.en_US
dc.identifier.citationAmanbek, Y., & Wheeler, M. F. (2019). A priori error analysis for transient problems using Enhanced Velocity approach in the discrete-time setting. Journal of Computational and Applied Mathematics, 361, 459–471. https://doi.org/10.1016/j.cam.2019.05.009en_US
dc.identifier.other10.1016/j.cam.2019.05.009
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/4365
dc.language.isoenen_US
dc.publisherELSEVIER SCIENCE BVen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectA priori error analysisen_US
dc.subjectEnhanced velocityen_US
dc.subjectMixed finite element methoden_US
dc.subjectError estimatesen_US
dc.subjectDarcy flowen_US
dc.titleA priori error analysis for transient problems using Enhanced Velocity approach in the discrete-time settingen_US
dc.typeArticleen_US
workflow.import.sourcescience

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