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dc.contributor.authorDao, Nguyen Anh ( Orcid Icon 0000-0003-2854-3069 )
dc.contributor.authorVo, Duc Cam Hai ( )
dc.contributor.authorOng, Thanh Hai ( )
dc.date.accessioned2021-12-06T20:05:58Z
dc.date.available2021-12-06T20:05:58Z
dc.date.issued2019-11-19
dc.identifier.citationDao, N. A., Vo, D. C. H., & Ong, T. H. (2019). A monotone nonlinear cell-centered finite element method for anisotropic diffusion problems. Electronic Journal of Differential Equations, 2019(122), pp. 1-23.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15016
dc.description.abstractWe present a technique to correct the cell-centered finite element scheme [20] (FECC) for full anisotropic diffusion problems on general meshes, which provides a discrete maximum principle (DMP). The correction scheme, named monotone nonlinear cell centered finite element scheme (MNFECC), is cell-centered in the sense that the solution can be computed from cell unknowns of the general primal mesh. Moreover, its coercivity and convergence are proven in a rigorous theoretical framework. Numerical experiments show that the method is effective and accurate, and it satisfies the discrete maximum principle.en_US
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDiscrete maximum principleen_US
dc.subjectHeterogeneous anisotropic diffusionen_US
dc.subjectGeneral griden_US
dc.subjectFinite volumeen_US
dc.subjectFinite elementsen_US
dc.subjectCell-centered schemeen_US
dc.titleA monotone nonlinear cell-centered finite element method for anisotropic diffusion problemsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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