Weighted finite element method for an elasticity problem with singularity

DOI10.1134/S1064562413060215zbMath1299.74169MaRDI QIDQ403890

S. G. Nikolaev, Victor Anatolievich Rukavishnikov

Publication date: 29 August 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Elliptic equations and elliptic systems (35J99) Elastic materials (74B99)

Related Items (9)

Dirichlet problem with degeneration of the input data on the boundary of the domain ⋮ Weighted FEM for Two-Dimensional Elasticity Problem with Corner Singularity ⋮ The Finite Difference Method for Boundary Value Problem with Singularity ⋮ On the \(R_\nu\)-generalized solution of the Lamé system with corner singularity ⋮ Theoretical analysis and construction of numerical method for solving the Navier-Stokes equations in rotation form with corner singularity ⋮ On the Error Estimation of the Finite Element Method for the Boundary Value Problems with Singularity in the Lebesgue Weighted Space ⋮ On the existence and uniqueness of an \(R_\nu\)-generalized solution of a boundary value problem with uncoordinated degeneration of the input data ⋮ Unnamed Item ⋮ Weighted finite element method for the Stokes problem with corner singularity

Uses Software

• FEAPpv

Cites Work

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• New numerical method for solving time-harmonic Maxwell equations with strong singularity
• The finite element method for a boundary value problem with strong singularity
• Weighted edge finite element method for Maxwell's equations with strong singularity
• The Finite Element Method for Boundary Value Problems with Strong Singularity and Double Singularity
• Methods of numerical analysis for boundary value problems with strong singularity
• Convergence of Adaptive Finite Element Methods

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