Weighted FEM for Two-Dimensional Elasticity Problem with Corner Singularity
From MaRDI portal
Publication:3179684
DOI10.1007/978-3-319-39929-4_39zbMath1387.74113OpenAlexW2552379521MaRDI QIDQ3179684
Victor Anatolievich Rukavishnikov
Publication date: 19 December 2016
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-39929-4_39
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (4)
Algorithm for Processing the Results of Calculations for Determining the Body of Optimal Parameters in the Weighted Finite Element Method ⋮ Weighted finite element method and body of optimal parameters for elasticity problem with singularity ⋮ Existence and uniqueness of an \(R_ \nu\)-generalized solution of the Dirichlet problem for the Lamé system with a corner singularity ⋮ New numerical method for the rotation form of the Oseen problem with corner singularity
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted finite element method for an elasticity problem with singularity
- New numerical method for solving time-harmonic Maxwell equations with strong singularity
- An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
- Singularities in elliptic boundary value problems and elasticity and their connection with failure initiation.
- The \(R_\nu \)-generalized solution of a boundary value problem with a singularity belongs to the space \(W_{2,\nu +\beta /2+\kappa +1}^{\kappa +2} (\Omega , \delta )\)
- On the \(R_\nu\)-generalized solution of the Lamé system with corner singularity
- The finite element method for a boundary value problem with strong singularity
- An exponential rate of convergence of the finite element method for the Dirichlet problem with a singularity of the solution.
- On the existence and uniqueness of an \(R_\nu\)-generalized solution of a boundary value problem with uncoordinated degeneration of the input data
- Weighted edge finite element method for Maxwell's equations with strong singularity
- Coercive estimate for a boundary value problem with noncoordinated degeneration of the data
- Convergence of Adaptive Finite Element Methods
- On the Error Estimation of the Finite Element Method for the Boundary Value Problems with Singularity in the Lebesgue Weighted Space
- Triangular Elements in the Finite Element Method
- Corner singularities and regularity of weak solutions for the two-dimensional Lamé equations on domains with angular corners
This page was built for publication: Weighted FEM for Two-Dimensional Elasticity Problem with Corner Singularity