A fourth order block-hexagonal grid approximation for the solution of Laplace's equation with singularities
DOI10.1186/s13662-015-0407-9zbMath1347.65160OpenAlexW2096601379WikidataQ59425209 ScholiaQ59425209MaRDI QIDQ738520
Emine Celiker, Adiguzel A. Dosiyev
Publication date: 2 September 2016
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-015-0407-9
numerical resultsDirichlet boundary conditionserror boundcorner singularitiesLaplace's equationhexagonal gridsingularity problemblock-grid methoddifference-analytical method
Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) 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 (1)
Cites Work
- Approximation on the hexagonal grid of the Dirichlet problem for Laplace's equation
- An efficient finite element method for treating singularities in Laplace's equation
- A nonconforming combined method for solving Laplace's boundary value problems with singularities
- A block-grid method of increased accuracy for solving Dirichlet's problem for Laplace's equation on polygons
- 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
- A Singular Function Boundary Integral Method for Laplacian Problems with Boundary Singularities
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A fourth order block-hexagonal grid approximation for the solution of Laplace's equation with singularities
