Domain decomposition method for crack problems with nonpenetration condition

DOI10.1051/m2an/2015064zbMath1457.65242OpenAlexW2426562409MaRDI QIDQ2820340

Evgeniĭ Mikhaĭlovich Rudoy

Publication date: 15 September 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2015064

zbMATH Keywords

Lagrange multipliersdomain decomposition methodcrackUzawa's algorithmnonpenetration condition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Brittle fracture (74R10) Iterative numerical methods for linear systems (65F10) PDEs in connection with mechanics of deformable solids (35Q74) Numerical methods for variational inequalities and related problems (65K15)

Related Items (12)

Optimal control of rigidity parameters of thin inclusions in composite materials ⋮ Optimal control of a thin rigid stiffener for a model describing equilibrium of a Timoshenko plate with a crack ⋮ Mathematical and numerical simulation of equilibrium of an elastic body reinforced by a thin elastic inclusion ⋮ Identification of fracture models based on phase field for crack propagation in heterogeneous lattices in a context of non-separated scales ⋮ On crack propagations in elastic bodies with thin inclusions ⋮ Asymptotic analysis of thin elastic junction between two elastic bodies ⋮ Domain decomposition technique for a model of an elastic body reinforced by a Timoshenko's beam ⋮ On thin inclusions in elastic bodies with defects ⋮ Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge ⋮ On numerical solving an equilibrium problem for a 3D elastic body with a crack under Coulomb friction law ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• FreeFem++

Cites Work

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