Superconvergence analysis of two-grid methods for bacteria equations

DOI10.1007/s11075-020-00882-0zbMath1456.65122OpenAlexW3007390113MaRDI QIDQ2219439

Chaoqun Li, Dong-Yang Shi

Publication date: 20 January 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-00882-0

zbMATH Keywords

finite element methodreaction-diffusion equationtwo-grid methodssuperconvergence propertybacteria equations

Mathematics Subject Classification ID

Medical applications (general) (92C50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Applications to the sciences (65Z05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Second-order parabolic systems (35K40)

Related Items (6)

Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations ⋮ Unconditional superconvergence analysis for the nonlinear bi-flux diffusion equation ⋮ A new combined scheme of \(H^1\)-Galerkin FEM and TGM for bacterial equations ⋮ A new two-grid mixed finite element analysis of semi-linear reaction-diffusion equation ⋮ Unconditional superconvergence of the fully-discrete schemes for nonlinear prey-predator model ⋮ A new symmetric mixed element method for semi-linear parabolic problem based on two-grid discretization

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