Mimetic finite difference approximation of quasilinear elliptic problems

DOI10.1007/s10092-014-0107-yzbMath1316.65092OpenAlexW2122838361MaRDI QIDQ2017973

Nadia Bigoni, Marco Verani, Paola Francesca Antonietti

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-014-0107-y

zbMATH Keywords

convergencenumerical examplequasilinear elliptic problemsmimetic finite difference methodKačanov method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Quasilinear elliptic equations (35J62)

Related Items

A Hybrid High-Order Method for Quasilinear Elliptic Problems of Nonmonotone Type ⋮ Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients ⋮ A Hybrid High-Order method for Leray–Lions elliptic equations on general meshes ⋮ Ws,p-approximation properties of elliptic projectors on polynomial spaces, with application to the error analysis of a Hybrid High-Order discretisation of Leray–Lions problems ⋮ A unified analysis of elliptic problems with various boundary conditions and their approximation ⋮ A two-level method for mimetic finite difference discretizations of elliptic problems ⋮ Analysis of a mimetic finite difference approximation of flows in fractured porous media ⋮ Improved error estimates for hybrid high-order discretizations of Leray-Lions problems ⋮ Mimetic finite difference approximation of flows in fractured porous media ⋮ The high-order mixed mimetic finite difference method for time-dependent diffusion problems

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