A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor

DOI10.1016/j.camwa.2015.12.023zbMath1443.65352OpenAlexW2259519739MaRDI QIDQ2007275

Seokchan Kim, Hyung-Chun Lee

Publication date: 12 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.12.023

zbMATH Keywords

finite elementsingular functionstress intensity factordual singular function

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stress (74A10)

Related Items (12)

Unnamed Item ⋮ Unnamed Item ⋮ Construction of equilibrated singular basis functions without a priori knowledge of analytical singularity order ⋮ Extraction of stress intensity factors of biharmonic equations with corner singularities corresponding to mixed boundary conditions of clamped, simply supported, and free (II) ⋮ Unnamed Item ⋮ Error estimate of a finite element method for an optimal control problem with corner singularity using the stress intensity factor ⋮ Extraction formulas of stress intensity factors for the biharmonic equations containing crack singularities ⋮ Error estimate of a finite element method using stress intensity factor ⋮ Unnamed Item ⋮ Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton ⋮ THE SINGULARITIES FOR BIHARMONIC PROBLEM WITH CORNER SINGULARITIES ⋮ A finite element method for elliptic optimal control problem on a non-convex polygon with corner singularities

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