Vertex-based compatible discrete operator schemes on polyhedral meshes for advection-diffusion equations

DOI10.1515/cmam-2016-0007zbMath1336.65184OpenAlexW2279871287MaRDI QIDQ267665

Alexandre Ern, Pierre Cantin

Publication date: 11 April 2016

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2016-0007

zbMATH Keywords

stabilityconvergenceerror boundadvection-diffusiondiscrete differential operatorsdiscrete Hodge operatornumerical resultpolyhedral meshescompatible discretizationdivergence-free velocityPéclet robustness

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

New polyhedral discretisation methods applied to the Richards equation: CDO schemes in \textit{Code\_Saturne} ⋮ Compatible Discrete Operator Schemes for the Steady Incompressible Stokes and Navier–Stokes Equations ⋮ A vertex-based scheme on polyhedral meshes for advection-reaction equations with sub-mesh stabilization

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