The block-grid method for the approximation of the pure second order derivatives for the solution of Laplace's equation on a staircase polygon

DOI10.1016/j.cam.2013.03.022zbMath1291.65318OpenAlexW1988382413MaRDI QIDQ2252803

Yanyan Li

Publication date: 23 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.03.022

zbMATH Keywords

singularityartificial boundaryblock-grid methodmatching operatorapproximation of derivatives

Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

On a highly accurate approximation of the first and pure second derivatives of the Laplace equation in a rectangular parallelpiped ⋮ A highly accurate difference method for approximating the solution and its first derivatives of the Dirichlet problem for Laplace's equation on a rectangle ⋮ 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

Cites Work

• The highly accurate block-grid method in solving Laplace's equation for nonanalytic boundary condition with corner singularity
• Singularities and treatments of elliptic boundary value problems.
• A block-grid method of increased accuracy for solving Dirichlet's problem for Laplace's equation on polygons
• Grid approximation of the first derivatives of the solution to the Dirichlet problem for the Laplace equation on a polygon
• Superconvergence of solution derivatives of the Shortley-Weller difference approximation to Poisson's equation with singularities on polygonal domains
• Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
• On convergence in C2 of a difference solution of the Laplace equation on a rectangle
• The High Accurate Block-Grid Method for Solving Laplace's Boundary Value Problem with Singularities
• On the grid method for approximating the derivatives of the solution of the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
• On the solution by the method of grids of the inner Dirichlet problem for the Laplace equation
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