$L^2$-Stability Independent of Diffusion for a Finite Element--Finite Volume Discretization of a Linear Convection-Diffusion Equation
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Publication:5253554
DOI10.1137/140961146zbMath1312.65158OpenAlexW2073801888MaRDI QIDQ5253554
Marcus Mildner, Paul Deuring, Robert Eymard
Publication date: 27 May 2015
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140961146
stabilityconvection-diffusion equationupwind methodbarycentric finite volumescombined finite element-finite volume methodCrouzeix-Raviart finite elements
Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (4)
A finite element–finite volume discretization of convection‐diffusion‐reaction equations with nonhomogeneous mixedboundary conditions: Error estimates ⋮ Identification of dynamical systems with structured uncertainty ⋮ Internal layer intersecting the boundary of a domain in a singular advection–diffusion equation ⋮ On the controllability of an advection-diffusion equation with respect to the diffusion parameter: asymptotic analysis and numerical simulations
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