Analysis of the block-grid method for the solution of Laplace's equation on polygons with a slit

DOI10.1155/2013/948564zbMath1470.65184OpenAlexW2003689049WikidataQ58917793 ScholiaQ58917793MaRDI QIDQ2319302

S. Cival Buranay

Publication date: 16 August 2019

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

Full work available at URL: https://doi.org/10.1155/2013/948564

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• An efficient method for subtracting off singularities at corners for Laplace's equation
• A block-grid method of increased accuracy for solving Dirichlet's problem for Laplace's equation on polygons
• On the use of singular functions with finite element approximations
• 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
• On solving the cracked‐beam problem by block method
• A fourth order accurate difference-analytical method for solving Laplace’s boundary value problem with singularities
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