Consistent grid analogs of invariant differential and boundary operators on an irregular triangular grid in the case of a grid nodal approximation

DOI10.3103/S0278641915020077zbMath1327.65203OpenAlexW2248686195MaRDI QIDQ893182

K. V. Kosmachevskii, M. N. Sablin, N. V. Ardeljan

Publication date: 13 November 2015

Published in: Moscow University Computational Mathematics and Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0278641915020077

zbMATH Keywords

boundary value problemdifferential operatortriangular gridinvariant operatorboundary operatorGauss-Ostrogradskii formulagrid operator

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) 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 (3)

Consistent grid operators with the cell-nodal definition of grid functions ⋮ Difference differential operators with values at the midpoints of the sides of cells of a triangular grid ⋮ Properties of consistent grid operators for grid functions defined inside grid cells and on grid faces

Cites Work

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• One approach to the construction of completely conservative difference schemes
• A two-dimensional operator-difference scheme for fluid dynamics in Lagrangean coordinates on an irregular triangular grid with the property of local approximation near the symmetry axis
• The convergence of difference schemes for two-dimensional equations of acoustics and Maxwell's equations

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