A new adaptive modeling strategy based on optimal control for atomic-to-continuum coupling simulations
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Publication:660252
DOI10.1016/j.cma.2010.12.011zbMath1230.74220OpenAlexW2084008540MaRDI QIDQ660252
Serge Prudhomme, J. Tinsley Oden, Ludovic Chamoin, Hachmi Ben Dhia
Publication date: 1 February 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2010.12.011
Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Molecular, statistical, and kinetic theories in solid mechanics (74A25)
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Cites Work
- Unnamed Item
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- An adaptive strategy for the control of modeling error in two-dimensional atomic-to-continuum coupling simulations
- Adaptive multiscale modeling of polymeric materials with Arlequin coupling and goals algorithms
- An introduction to computational nanomechanics and materials
- A bridging domain method for coupling continua with molecular dynamics
- On the application of the Arlequin method to the coupling of particle and continuum models
- Computational analysis of modeling error for the coupling of particle and continuum models by the Arlequin method
- Coupling of atomistic and continuum simulations using a bridging scale decomposition.
- Material interpolation schemes in topology optimization
- Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms
- Estimation of modeling error in computational mechanics.
- Analyse mathématique de la méthode Arlequin mixte
- Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Domain-Map Linearization Approach
- Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Shape-Linearization Approach
- Ghost forces and spurious effects in atomic‐to‐continuum coupling methods by the Arlequin approach
- An optimal control approach to a posteriori error estimation in finite element methods
- On theL2 and theH1 couplings for an overlapping domain decomposition method using Lagrange multipliers
- On Atomistic-to-Continuum Coupling by Blending
- Problèmes mécaniques multi-échelles: la méthode Arlequin
- Atomistic to Continuum limits for computational materials science
- The Arlequin method as a flexible engineering design tool
- Shape optimization by the homogenization method
