A fourth-order block-grid method for solving Laplace's equation on a staircase polygon with boundary functions in \(C^{k, \lambda}\)

DOI10.1155/2013/864865zbMath1470.65185OpenAlexW2053440037WikidataQ58917640 ScholiaQ58917640MaRDI QIDQ2319212

S. Cival Buranay, Adiguzel A. Dosiyev

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/864865

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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One-block method for computing the generalized stress intensity factors for Laplace's equation on a square with a slit and on an L-shaped domain

Cites Work

• The highly accurate block-grid method in solving Laplace's equation for nonanalytic boundary condition with corner singularity
• A block-grid method of increased accuracy for solving Dirichlet's problem for Laplace's equation on polygons
• The block-grid method for solving Laplace's equation on polygons with nonanalytic boundary conditions
• On the use of singular functions with finite element approximations
• Differentiability properties of solutions of boundary value problem for the Laplace and Poisson equations on a rectangle
• AN EXPONENTIALLY CONVERGENT METHOD FOR THE SOLUTION OF LAPLACE'S EQUATION ON POLYGONS
• The High Accurate Block-Grid Method for Solving Laplace's Boundary Value Problem with Singularities
• A fourth order accurate difference-analytical method for solving Laplace’s boundary value problem with singularities
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