Difference schemes on uniform grids performed by general discrete operators

DOI10.1016/j.apnum.2004.01.010zbMath1057.65070OpenAlexW2091707269MaRDI QIDQ1878387

Andrés M. Encinas, Ángeles Carmona, Enrique Bendito

Publication date: 19 August 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.01.010

zbMATH Keywords

elliptic equationsuniform gridsdifference approximationsmimetic finite difference methodsdiscrete metric tensorsdiscrete vector calculus

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Boundary value problems on planar graphs and flat surfaces with integer cone singularities, I: The Dirichlet problem ⋮ Energy and length in a topological planar quadrilateral ⋮ Boundary value problems on planar graphs and flat surfaces with integer cone singularities. II: The mixed Dirichlet-Neumann problem ⋮ Boundary value problems on weighted networks

Cites Work

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• Finite difference methods on irregular networks. A generalized approach to second order elliptic problems. (Licensed ed.)
• Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids
• A discrete operator calculus for finite difference approximations
• The effect of inner products for discrete vector fields on the accuracy of mimetic finite difference methods
• The convergence of mimetic discretization for rough grids
• Solving boundary value problems on networks using equilibrium measures
• The Orthogonal Decomposition Theorems for Mimetic Finite Difference Methods

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