The block-grid method for solving Laplace's equation on polygons with nonanalytic boundary conditions

DOI10.1155/2010/468594zbMath1214.65054OpenAlexW2021111745WikidataQ59253783 ScholiaQ59253783MaRDI QIDQ1957504

Yanyan Li

Publication date: 27 September 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228770

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

On a highly accurate approximation of the first and pure second derivatives of the Laplace equation in a rectangular parallelpiped ⋮ The highly accurate block-grid method in solving Laplace's equation for nonanalytic boundary condition with corner singularity ⋮ A fourth-order block-grid method for solving Laplace's equation on a staircase polygon with boundary functions in \(C^{k, \lambda}\) ⋮ 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

• Singularities and treatments of elliptic boundary value problems.
• On the use of singular functions with finite element approximations
• The High Accurate Block-Grid Method for Solving Laplace's Boundary Value Problem with Singularities

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