Fully discrete semi-Lagrangian methods for advection of differential forms

DOI10.1007/s10543-012-0382-4zbMath1267.65130OpenAlexW2014755883MaRDI QIDQ695059

Holger Heumann, Kun Li, Ralf Hiptmair, Jin-Chao Xu

Publication date: 20 December 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/59177

zbMATH Keywords

convergenceerror estimatesmanifoldsnumerical exampleserror boundsparabolic-hyperbolic equationssemi-Lagrangian methodsadvection-diffusion problemdiscrete differential formdiscrete Lie derivativeGalerkin-projection

Mathematics Subject Classification ID

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) Differential forms in global analysis (58A10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Hyperbolic equations on manifolds (58J45) Initial-boundary value problems for PDEs of mixed type (35M13)

Related Items (4)

Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations ⋮ Discrete Lie Derivative ⋮ Semi-Lagrangian finite element exterior calculus for incompressible flows ⋮ Convergence of lowest-order semi-Lagrangian schemes

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