New properties of 9-point finite difference solution of the Laplace equation
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Publication:644603
DOI10.1007/s00009-010-0086-4zbMath1229.65191OpenAlexW2075734977MaRDI QIDQ644603
Publication date: 4 November 2011
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-010-0086-4
Smoothness and regularity of solutions to PDEs (35B65) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
- On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
- Differentiability properties of solutions of boundary value problem for the Laplace and Poisson equations on a rectangle
- On differential properties of solutions of the Laplace and Poisson equations on a parallelepiped and efficient error estimates of the method of nets
- The High Accurate Block-Grid Method for Solving Laplace's Boundary Value Problem with Singularities
- ON THE ORDER OF MAXIMUM ERROR OF THE FINITE DIFFERENCE SOLUTIONS OF LAPLACE’S EQUATION ON RECTANGLES
- On a combined grid method for solving the Dirichlet problem for the Laplace equation in a rectangular parallelepiped
- On the differential properties of the solutions of laplace's equation and the error of the mesh method with boundary values from C2 and C1,1
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