Vertex-Centered Linearity-Preserving Schemes for Nonlinear Parabolic Problems on Polygonal Grids
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DOI: 10.1007/s10915-016-0309-3
Abstract: On arbitrary polygonal grids, a family of vertex-centered finite volume schemes are suggested for the numerical solution of the strongly nonlinear parabolic equations arising in radiation hydrodynamics and magnetohydrodynamics. We define the primary unknowns at… read more here.
Keywords: vertex centered; linearity preserving; nonlinear parabolic; parabolic problems ... See more keywords
Linearity-preserving monotone local projection stabilization schemes for continuous finite elements
Sign Up to like & getrecommendations! Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2017.04.030
Abstract: Abstract This paper presents some new tools for enforcing discrete maximum principles and/or positivity preservation in continuous piecewise-linear finite element approximations to convection-dominated transport problems. Using a linear first-order advection equation as a model problem,… read more here.
Keywords: local projection; stabilization; projection stabilization; linearity preserving ... See more keywords
A Family of Linearity-Preserving Schemes for Anisotropic Diffusion Problems on General Grids
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DOI: 10.1080/23324309.2016.1239640
Abstract: ABSTRACT We propose a new family of cell-centered finite volume schemes with compact stencils for anisotropic diffusion problems on arbitrary polygonal grids. The derivation of the schemes is based on a general framework through a… read more here.
Keywords: diffusion; cell; linearity preserving; family ... See more keywords