Domain decomposition method for a model crack problem with a possible contact of crack edges

DOI10.1134/S0965542515020165zbMath1426.74321OpenAlexW2045691056MaRDI QIDQ2354445

Evgeniĭ Mikhaĭlovich Rudoy

Publication date: 13 July 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515020165

zbMATH Keywords

Lagrange multipliersdomain decomposition methodUzawa algorithmunilateral constrainttheory of cracksscalar Poisson equation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Contact in solid mechanics (74M15) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items

Asymptotic justification of the models of thin inclusions in an elastic body in the antiplane shear problem, Mathematical and numerical simulation of equilibrium of an elastic body reinforced by a thin elastic inclusion, Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam, MODIFIED LAGRANGE FUNCTIONAL FOR SOLVING ELASTIC PROBLEM WITH A CRACK IN CONTINUUM MECHANICS, An accelerated Uzawa method for application to frictionless contact problem, Solution of a contact elasticity problem with a rigid inclusion, Fictitious Domain Method for Equilibrium Problems of the Kirchhoff-Love Plates with Nonpenetration Conditions for Known Configurations of Plate Edges

Uses Software

• FreeFem++

Cites Work

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