Application of a 14-point averaging operator in the grid method

DOI10.1134/S0965542510120055zbMath1224.65241OpenAlexW1972866862MaRDI QIDQ3012269

Evgeny Volkov

Publication date: 5 July 2011

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542510120055

zbMATH Keywords

convergenceDirichlet problemLipschitz conditionLaplace's equationrectangular parallelepipedgrid method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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)

On the difference method for approximation of second order derivatives of a solution of Laplace’s equation in a rectangular parallelepiped ⋮ 14-point difference operator for the approximation of the first derivatives of a solution of Laplace’s equation in a rectangular parallelepiped ⋮ On the high order convergence of the difference solution of Laplace’s equation in a rectangular parallelepiped

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