Analysis of the decoupled and positivity-preserving DDFV schemes for diffusion problems on polygonal meshes

DOI10.1007/s10444-020-09748-4zbMath1436.65163OpenAlexW3006761517MaRDI QIDQ1987765

Shuai Su, Jiming Wu, Qiannan Dong

Publication date: 15 April 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-020-09748-4

zbMATH Keywords

stabilitywell-posednessdiffusion problems\(H^1\) error estimatepositivity-reserving

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) 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 volume methods for boundary value problems involving PDEs (65N08)

Related Items (5)

A linearity-preserving technique for finite volume schemes of anisotropic diffusion problems on polygonal meshes ⋮ A family of edge-centered finite volume schemes for heterogeneous and anisotropic diffusion problems on unstructured meshes ⋮ A polygonal finite volume element method for anisotropic diffusion problems ⋮ Error estimate of the cell-centered nonlinear positivity-preserving two-point flux approximation schemes ⋮ A finite volume scheme preserving maximum principle with cell-centered and vertex unknowns for diffusion equations on distorted meshes

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