An adaptive algorithm for the time dependent transport equation with anisotropic finite elements and the Crank-Nicolson scheme

DOI10.1007/s10915-017-0537-1zbMath1398.65249OpenAlexW2749755661WikidataQ59523433 ScholiaQ59523433MaRDI QIDQ1747631

Samuel Dubuis, Marco Picasso

Publication date: 26 April 2018

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

Full work available at URL: https://doi.org/10.1007/s10915-017-0537-1

zbMATH Keywords

anisotropic a posteriori error estimatestime dependent transport equation

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (5)

Anisotropic adaptive finite elements for an elliptic problem with strongly varying diffusion coefficient ⋮ An adaptive space-time algorithm for the incompressible Navier-Stokes equations ⋮ Anisotropic \textit{a posteriori} error analysis for the two-step backward differentiation formula for parabolic integro-differential equation ⋮ Time‐continuous and time‐discontinuous space‐time finite elements for advection‐diffusion problems ⋮ A space-time adaptive algorithm to illustrate the lack of collision of a rigid disk falling in an incompressible fluid

Uses Software

• BL2D-V2

Cites Work

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• New anisotropic a priori estimates

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