Multigrid methods for the computation of singular solutions and stress intensity factors. II: Crack singularities

DOI10.1007/BF02510243zbMath0890.73060OpenAlexW1993884081MaRDI QIDQ1371667

J. Ning

Publication date: 14 July 1998

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02510243

zbMATH Keywords

convergence ratePoisson equationenergy normhomogeneous Dirichlet boundary conditionpiecewise linear functions

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05) Fracture and damage (74R99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem ⋮ DOF‐gathering stable generalized finite element methods for crack problems ⋮ Generalizations of the finite element method ⋮ Multigrid methods for the computation of singular solutions and stress intensity factors. III: Interface singularities. ⋮ A finite element method for singular solutions of the Navier-Stokes equations on a non-convex polygon ⋮ An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains ⋮ Convergence of the multigrid $V$-cycle algorithm for second-order boundary value problems without full elliptic regularity ⋮ A finite element method dealing the singular points with a cut-off function ⋮ Analysis of a modified Schrödinger operator in 2D: Regularity, index, and FEM ⋮ A finite element method for elliptic optimal control problem on a non-convex polygon with corner singularities ⋮ QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION ⋮ Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities

Cites Work

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