Grid approximation of the first derivatives of the solution to the Dirichlet problem for the Laplace equation on a polygon
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Publication:2342260
DOI10.1134/S0081543806040080zbMath1352.65424OpenAlexW1998138588MaRDI QIDQ2342260
Publication date: 11 May 2015
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543806040080
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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 (6)
A highly accurate difference method for approximating the solution and its first derivatives of the Dirichlet problem for Laplace's equation on a rectangle ⋮ The block-grid method for the approximation of the pure second order derivatives for the solution of Laplace's equation on a staircase polygon ⋮ Scaled discrete derivatives of singularly perturbed elliptic problems ⋮ A fourth order accurate approximation of the first and pure second derivatives of the Laplace equation on a rectangle ⋮ 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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