Proper generalized decomposition of time-multiscale models

DOI10.1002/nme.3331zbMath1242.65197OpenAlexW2125246840MaRDI QIDQ2895059

Amine Ammar, Elias Cueto, Manuel Doblaré, Francisco Chinesta

Publication date: 2 July 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10985/8499

zbMATH Keywords

proper generalized decompositionseparated representationstime multiscaletransient models

Mathematics Subject Classification ID

Related Items (17)

Numerical solution of high dimensional stationary Fokker-Planck equations via tensor decomposition and Chebyshev spectral differentiation ⋮ kPCA-based parametric solutions within the PGD framework ⋮ Optimal spatiotemporal reduced order modeling. I: Proposed framework ⋮ A PGD-based multiscale formulation for non-linear solid mechanics under small deformations ⋮ The proper generalized decomposition for the simulation of delamination using cohesive zone model ⋮ Time-space PGD for the rapid solution of 3D nonlinear parametrized problems in the many-query context ⋮ Parametric stress field solutions for heterogeneous materials using proper generalized decomposition ⋮ Multi-temporal decomposition for elastoplastic ratcheting solids ⋮ Tensor approximation of the self-diffusion matrix of tagged particle processes ⋮ Combining MFS and PGD methods to solve transient heat equation ⋮ Towards a framework for non‐linear thermal models in shell domains ⋮ Efficient Approximation of Flow Problems With Multiple Scales in Time ⋮ A rational strategy for the resolution of parametrized problems in the PGD framework ⋮ A PGD-based homogenization technique for the resolution of nonlinear multiscale problems ⋮ Virtual charts of solutions for parametrized nonlinear equations ⋮ A numerical solver for high dimensional transient Fokker-Planck equation in modeling polymeric fluids ⋮ A Newmark space-time formulation in structural dynamics

Cites Work

• Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models
• Non incremental strategies based on separated representations: applications in computational rheology
• On the deterministic solution of multidimensional parametric models using the proper generalized decomposition
• The LATIN multiscale computational method and the proper generalized decomposition
• A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. II: Transient simulation using space-time separated representations
• Time-parallel multiscale/multiphysics framework
• Alleviating mesh constraints: model reduction, parallel time integration and high resolution homogenization
• A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids
• A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
• On a multiscale computational strategy with time and space homogenization for structural mechanics.
• Multiscale temporal integration
• Temporal homogenization of viscoelastic and viscoplastic solids subjected to locally periodic loading
• Proper generalized decomposition of multiscale models
• A computational strategy for poroelastic problems with a time interface between coupled physics
• A computational strategy for thermo-poroelastic structures with a time-space interface coupling
• Algorithms for Numerical Analysis in High Dimensions

This page was built for publication: Proper generalized decomposition of time-multiscale models