Robust iterative solvers for Gao type nonlinear beam models in elasticity

DOI10.1515/cmam-2020-0133zbMath1482.65211OpenAlexW3172420398MaRDI QIDQ2113841

János Karátson, Benjámin Borsos

Publication date: 14 March 2022

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2020-0133

zbMATH Keywords

nonlinear elasticityiterative solversGao beam

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

Quasi-Newton iterative solution of non-orthotropic elliptic problems in 3D with boundary nonlinearity

Cites Work

• Mixed finite element solutions to contact problems of nonlinear Gao beam on elastic foundation
• Finite deformation beam models and triality theory in dynamical post-buckling analysis
• Variable preconditioning for strongly nonlinear elliptic problems
• Nonlinear elastic beam theory with application in contact problems and variational approaches
• Analysis and simulations of a nonlinear elastic dynamic beam
• Isogeometric Analysis for Nonlinear Dynamics of Timoshenko Beams
• On Multilevel Preconditioners which are Optimal with Respect to Both Problem and Discretization Parameters
• Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space
• Solution of contact problems for Gao beam and elastic foundation
• An Introduction to Nonlinear Finite Element Analysis
• Quasi-Newton variable preconditioning for nonlinear nonuniformly monotone elliptic problems posed in Banach spaces
• Linear and Nonlinear Structural Mechanics
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