A finite element–finite volume discretization of convection‐diffusion‐reaction equations with nonhomogeneous mixedboundary conditions: Error estimates

DOI10.1002/num.22064zbMath1355.65131OpenAlexW2345395947MaRDI QIDQ5298301

Paul Deuring

Publication date: 14 December 2016

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22064

zbMATH Keywords

error estimatesconvection-diffusion equationimplicit Euler methodupwind methodlinearsteady statebarycentric finite volumescombined finite element-finite volume methodCrouzeix-Raviart finite elementstime-depending

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

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