A scalable time-space multiscale domain decomposition method: adaptive time scale separation
From MaRDI portal
Publication:989667
DOI10.1007/s00466-010-0504-2zbMath1358.74074OpenAlexW2036342852MaRDI QIDQ989667
Pierre Ladevèze, Jean-Charles Passieux, David Néron
Publication date: 23 August 2010
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-010-0504-2
Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items
Non-intrusive coupling: recent advances and scalable nonlinear domain decomposition ⋮ High resolution digital image correlation using proper generalized decomposition: PGD-DIC ⋮ Improving the efficiency of large scale topology optimization through on-the-fly reduced order model construction ⋮ A dual domain decomposition method for finite element digital image correlation ⋮ Efficient Approximation of Flow Problems With Multiple Scales in Time ⋮ On the verification of model reduction methods based on the proper generalized decomposition ⋮ A PGD-based homogenization technique for the resolution of nonlinear multiscale problems ⋮ PGD-based \textit{computational vademecum} for efficient design, optimization and control ⋮ Substructuring tools for probabilistic analysis of instrumented nonlinear moving oscillator-beam systems ⋮ Parametric solutions involving geometry: a step towards efficient shape optimization ⋮ Development of a new, more regular, mortar method for the coupling of NURBS subdomains within a NURBS patch: application to a non-intrusive local enrichment of NURBS patches
Cites Work
- Unnamed Item
- Unnamed Item
- The LATIN multiscale computational method and the proper generalized decomposition
- A parareal in time procedure for the control of partial differential equations
- A computational damage micromodel of laminated composites
- A scalable multiscale LATIN method adapted to nonsmooth discrete media
- Alleviating mesh constraints: model reduction, parallel time integration and high resolution homogenization
- An adaptive method for homogenization in orthotropic nonlinear elasticity
- A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
- Nonlinear localization strategies for domain decomposition methods: application to post-buckling analyses
- Stability of multi-time step partitioned integrators for first-order finite element systems
- Non-homogeneous media and vibration theory
- A large time increment approach for cyclic viscoplasticity
- The variational multiscale method -- a paradigm for computational mechanics
- A numerical scheme to couple subdomains with different time-steps for predominantly linear transient analysis
- The partition of unity finite element method: basic theory and applications
- Computational plasticity for composite structures based on mathematical homogenization: Theory and practice
- On a multiscale computational strategy with time and space homogenization for structural mechanics.
- Strong coupling methods in multi-phase and multi-scale modeling of inelastic behavior of heterogeneous structures.
- A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.
- Multigrid method for periodic heterogeneous media. II: Multiscale modeling and quality control in multidimensional case.
- Multiscale temporal integration
- A multiscale computational approach for contact problems
- Multiscale asymptotic homogenization for multiphysics problems with multiple spatial and temporal scales: A coupled thermo-viscoelastic example problem
- Hierarchical modeling of heterogeneous solids
- A three-scale domain decomposition method for the 3D analysis of debonding in laminates
- PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY
- On Multiscale Computational Mechanics with Time-Space Homogenization
- Balancing domain decomposition
- Homogenization and damage for composite structures
- A computational strategy for poroelastic problems with a time interface between coupled physics
- Sur une méthode de calcul de structures soumises à des chargements cycliques : l'homogénéisation en temps
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- A suitable computational strategy for the parametric analysis of problems with multiple contact
- Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications
- Multi-time-step and two-scale domain decomposition method for non-linear structural dynamics
- A finite element method for crack growth without remeshing
- The Arlequin method as a flexible engineering design tool
- The generalized finite element method
