A finite element method dealing the singular points with a cut-off function

DOI10.1007/BF02896394zbMath1102.65115MaRDI QIDQ2504082

Sooryoun Kong, Seokchan Kim

Publication date: 22 September 2006

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

zbMATH Keywords

finite element methodsingular pointsnumerical experimentselliptic boundary value problemcut-off function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

DOF‐gathering stable generalized finite element methods for crack problems ⋮ Sixth order compact finite difference schemes for Poisson interface problems with singular sources

Cites Work

• Unnamed Item
• Unnamed Item
• Direct and inverse error estimates for finite elements with mesh refinements
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• Multigrid methods for the computation of singular solutions and stress intensity factors. II: Crack singularities
• On the use of singular functions with finite element approximations
• A finite element method using singular functions for Poisson equations: Mixed boundary conditions
• A Finite Element Method Using Singular Functions for the Poisson Equation: Corner Singularities
• The post-processing approach in the finite element method—Part 2: The calculation of stress intensity factors
• The $h-p$ version of the finite element method with quasiuniform meshes
• On the integral equation method for the plane mixed boundary value problem of the Laplacian
• Coefficients of the Singularities for Elliptic Boundary Value Problems on Domains with Conical Points. III: Finite Element Methods on Polygonal Domains
• Singularities in the Solution of Laplace's Equation in Two Dimensions
• Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 1
• Overcoming Corner Singularities Using Multigrid Methods
• Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
• The p‐version of the finite element method for domains with corners and for infinite domains