A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids

DOI10.1016/j.cma.2010.08.017zbMath1225.76212OpenAlexW1992184509MaRDI QIDQ646258

Martin Vohralík, Danielle Hilhorst

Publication date: 16 November 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.08.017

zbMATH Keywords

diffusionadaptive mesh refinementA posteriori error estimatesnonmatching gridsguaranteed upper boundreaction equationcombined finite volume-finite element methodtransient convection-dominated convection

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite element methods applied to problems in fluid mechanics (76M10) Free convection (76R10) Reaction effects in flows (76V05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

Finite volume element approximation of an inhomogeneous Brusselator model with cross-diffusion ⋮ A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows ⋮ Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media ⋮ Novel adaptive finite volume method on unstructured meshes for time-domain wave scattering and diffraction ⋮ Analysis of a finite volume element method for the Stokes problem ⋮ A finite volume formulation for transient convection and diffusion equations with unstructured distorted grids and its applications in fluid flow simulations with a collocated variable arrangement ⋮ A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids ⋮ Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem

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