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

DOI10.1016/j.cam.2014.11.029zbMath1320.65160OpenAlexW2061407283MaRDI QIDQ2352330

Yanyan Li

Publication date: 30 June 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.11.029

zbMATH Keywords

corner singularityLaplace equationstress intensity factorblock method

Mathematics Subject Classification ID

Related Items (1)

A method of harmonic extension for computing the generalized stress intensity factors for Laplace's equation with singularities

Cites Work

• The highly accurate block-grid method in solving Laplace's equation for nonanalytic boundary condition with corner singularity
• Block method for problems on L-shaped domains
• An efficient method for subtracting off singularities at corners for Laplace's equation
• Singularities and treatments of elliptic boundary value problems.
• 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
• A fourth-order block-grid method for solving Laplace's equation on a staircase polygon with boundary functions in \(C^{k, \lambda}\)
• The cracked-beam problem solved by the boundary approximation method
• Special boundary approximation methods for Laplace equation problems with boundary singularities--applications to the Motz problem
• Highly accurate solutions of Motz's and the cracked beam problems
• Solving Laplacian problems with boundary singularities: a comparison of a singular function boundary integral method with the \(p\)/\(hp\) version of the finite element method
• The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
• The post-processing approach in the finite element method—Part 2: The calculation of stress intensity factors
• Stress Intensity Factors and Improved Convergence Estimates at a Corner
• Boundary Methods for Solving Elliptic Problems with Singularities and Interfaces
• AN EXPONENTIALLY CONVERGENT METHOD FOR THE SOLUTION OF LAPLACE'S EQUATION ON POLYGONS
• Computing flux intensity factors by a boundary method for elliptic equations with singularities
• Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
• The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method
• 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 Singular Function Boundary Integral Method for Laplacian Problems with Boundary Singularities
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