Discrete Helmholtz-Hodge decomposition on polyhedral meshes using compatible discrete operators

DOI10.1007/s10915-014-9952-8zbMath1329.65249OpenAlexW2044842665MaRDI QIDQ898413

Antoine Lemoine, Jean Paul Caltagirone, Mejdi Aza ıïez, Stéphane Vincent

Publication date: 9 December 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9952-8

zbMATH Keywords

convergencenumerical examplesnumerical experimentdivergence-freestructure-preserving schemescurl-freepolyhedral meshcompatible discrete operator schemesdiscrete Helmholtz-Hodge decomposition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Finite difference methods for boundary value problems involving PDEs (65N06)

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Application of discrete mechanics model to jump conditions in two-phase flows ⋮ Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators ⋮ A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition ⋮ Explicit geometric construction of \textit{sparse inverse mass matrices} for arbitrary tetrahedral grids ⋮ Interpolation error estimates for harmonic coordinates on polytopes

Uses Software

• MKL

Cites Work

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