A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor
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Publication:2007275
DOI10.1016/j.camwa.2015.12.023zbMath1443.65352OpenAlexW2259519739MaRDI QIDQ2007275
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation.
- A posteriori error estimators for stabilized \(P\)1 nonconforming approximation of the Stokes problem
- A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem
- Direct and inverse error estimates for finite elements with mesh refinements
- On finite element methods for elliptic equations on domains with corners
- Coefficients in the asymptotics of the solutions of elliptic boundary- value problems in a cone
- Multigrid methods for the computation of singular solutions and stress intensity factors. III: Interface singularities.
- On the use of singular functions with finite element approximations
- A Finite Element Method Using Singular Functions for the Poisson Equation: Corner Singularities
- Coefficients of the Singularities for Elliptic Boundary Value Problems on Domains with Conical Points. III: Finite Element Methods on Polygonal Domains
- Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
- Data Oscillation and Convergence of Adaptive FEM
- On the Efficiency of Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
- Weighted‐Norm First‐Order System Least Squares (FOSLS) for Problems with Corner Singularities
- The Mathematical Theory of Finite Element Methods
- Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I
- Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II
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