The convergence of mimetic discretization for rough grids

DOI10.1016/j.camwa.2004.06.008zbMath1070.65114OpenAlexW2094862195MaRDI QIDQ1767872

James M. Hyman, Stanly L. Steinberg

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.008

zbMATH Keywords

convergenceerror boundsfinite-volume methoddisretised divergence theoremfinite difference aproximationmimetic discretisation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Difference schemes on uniform grids performed by general discrete operators, A spectral mimetic least-squares method, Flux reconstruction and solution post-processing in mimetic finite difference methods, A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations, A mimetic iterative scheme for solving biharmonic equations, A discrete calculus analysis of the Keller box scheme and a generalization of the method to arbitrary meshes, Large sparse linear systems arising from mimetic discretization, M-Adaptation in the mimetic finite difference method, A mimetic mass, momentum and energy conserving discretization for the shallow water equations, Analysis of velocity-components decoupled projection method for the incompressible Navier-Stokes equations, Linear systems arising for second order mimetic divergence and gradient discretizations, Mimetic finite difference method, Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms, Boundary value problems on weighted networks

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