A fourth order block-hexagonal grid approximation for the solution of Laplace's equation with singularities
type: Item
instance of: scholarly article
title: A fourth order block-hexagonal grid approximation for the solution of Laplace's equation with singularities
zbMATH Open document ID: 1347.65160
author: Emine Celiker
author: A. A. Dosiyev
published in: Advances in Difference Equations
publication date: 2016-09-02T00:00:00Z
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 6622361
zbMATH Keywords: hexagonal grid
zbMATH Keywords: Laplace's equation
zbMATH Keywords: singularity problem
zbMATH Keywords: block-grid method
zbMATH Keywords: error bound
zbMATH Keywords: difference-analytical method
zbMATH Keywords: Dirichlet boundary conditions
zbMATH Keywords: corner singularities
zbMATH Keywords: numerical results
MaRDI profile type: Publication
full work available at URL: s13662-015-0407-9
OpenAlex ID: W2096601379
Wikidata QID: Q59425209
cites work: A nonconforming combined method for solving Laplace's boundary value problems with singularities
cites work: Q4397750
cites work: An efficient finite element method for treating singularities in Laplace's equation
cites work: A Singular Function Boundary Integral Method for Laplacian Problems with Boundary Singularities
cites work: Q4869514
cites work: A block-grid method of increased accuracy for solving Dirichlet's problem for Laplace's equation on polygons
cites work: The High Accurate Block-Grid Method for Solving Laplace's Boundary Value Problem with Singularities
cites work: Approximation on the hexagonal grid of the Dirichlet problem for Laplace's equation
cites work: AN EXPONENTIALLY CONVERGENT METHOD FOR THE SOLUTION OF LAPLACE'S EQUATION ON POLYGONS
cites work: Q4463411
cites work: A fourth order accurate difference-analytical method for solving Laplace’s boundary value problem with singularities
cites work: Q4223141
cites work: Q4528992
cites work: Q5524002
DOI: 10.1186/S13662-015-0407-9
description: scientific article; zbMATH DE number 6622361