A monotone nonlinear cell-centered finite element method for anisotropic diffusion problems

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dc.contributor.authorDao, Nguyen Anh
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.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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent23 pages
dc.format.medium1 file (.pdf)
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. <i>Electronic Journal of Differential Equations, 2019</i>(122), pp. 1-23.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15016
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDiscrete maximum principle
dc.subjectHeterogeneous anisotropic diffusion
dc.subjectGeneral grid
dc.subjectFinite volume
dc.subjectFinite elements
dc.subjectCell-centered scheme
dc.titleA monotone nonlinear cell-centered finite element method for anisotropic diffusion problems
dc.typeArticle

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