Remarks on discretizations of convection terms in hybrid mimetic mixed methods

DOI10.3934/nhm.2010.5.545zbMath1260.76017OpenAlexW1979875310MaRDI QIDQ1943824

Jérôme Droniou

Publication date: 21 March 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2010.5.545

zbMATH Keywords

convection-diffusion equationflow in porous mediaconvection-dominated problemsmimetic finite differenceelliptic-parabolic coupled problemshybrid finite volumehybrid mixed mimetic methodmixed finite volume

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches ⋮ A Local Meshless Method for Steady State Convection Dominated Flows ⋮ A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes ⋮ A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation ⋮ Finite volume schemes for diffusion equations: Introduction to and review of modern methods ⋮ A hybrid high-order method for the incompressible Navier-Stokes equations based on Temam's device

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