A non-intrusive reduced basis method for elastoplasticity problems in geotechnics

DOI10.1016/j.cam.2017.12.044OpenAlexW2783201412MaRDI QIDQ1747286

Xianqiang Yang

Publication date: 4 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.12.044

zbMATH Keywords

finite element methodelastoplasticityreduced basis methodsoilsparametric studies

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure, Non-intrusive framework of reduced-order modeling based on proper orthogonal decomposition and polynomial chaos expansion, Learning constitutive models from microstructural simulations via a non-intrusive reduced basis method

Uses Software

• FreeFem++
• CESAR-LCPC

Cites Work

• An effective computational tool for parametric studies and identification problems in materials mechanics
• Model reduction in elastoplasticity: proper orthogonal decomposition combined with adaptive sub-structuring
• Multi-level a priori hyper-reduction of mechanical models involving internal variables
• Multidimensional a priori hyper-reduction of mechanical models involving internal variables
• A two-grid finite-element/reduced basis scheme for the approximation of the solution of parametric dependent P.D.E
• Model order reduction and domain decomposition strategies for the solution of the dynamic elastic-plastic structural problem
• RB (reduced basis) for RB (Rayleigh-Bénard)
• A fast, certified and ``tuning free two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems
• Reduced basis method for linear elasticity problems with many parameters
• A novel reduced-basis method with upper and lower bounds for real-time computation of linear elasticity problems
• Kolmogorov widths under holomorphic mappings
• Reduced basis approximation anda posteriori error estimation for stress intensity factors
• New development in freefem++