Superconvergence and asymptotic expansion for semidiscrete bilinear finite volume element approximation of the parabolic problem

DOI10.1016/j.camwa.2013.02.018zbMath1416.65297OpenAlexW2028896637MaRDI QIDQ2629508

Haiyuan Yu, Cunyun Nie, Shi Shu, Yu-yue Yang

Publication date: 6 July 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.02.018

zbMATH Keywords

superconvergencelinear parabolic problemerror asymptotic expansionbilinear finite volume element

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

Superconvergence and asymptotic expansions for bilinear finite volume element approximation on non-uniform grids

Cites Work

• \(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes
• Finite element methods and their convergence for elliptic and parabolic interface problems
• Symmetric finite volume discretizations for parabolic problems.
• Symmetric modified finite volume element methods for selfadjoint elliptic and parabolic problems
• Superconvergence and asymptotic expansions for linear finite element approximations on criss-cross mesh
• Superconvergence by \(L^2\)-projection for a stabilized finite volume method for the stationary Navier-Stokes equations
• On superconvergence of isoparametric bilinear finite elements
• Error Estimates for Spatially Discrete Approximations of Semilinear Parabolic Equations with Nonsmooth Initial Data
• Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
• Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
• Superconvergence and Asymptotic Expansions for Bilinear Finite Volume Element Approximations
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