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Non-overlapping domain decomposition methods in structural mechanics

https://doi.org/10.1007/bf02905857
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/(sici)1097-0207(19970815)40:15<2717::aid-nme185>3.0.co;2-bopenalex-snapshot
An algebraically partitioned FETI method for parallel structural analysis: algorithm description
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An algebraically partitioned FETI method for parallel structural analysis: performance evaluation
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A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
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Theoretical comparison of the FETI and algebraically partitioned FETI methods, and performance comparisons with a direct sparse solver
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Application of the FETI method to ASCI problems?scalability results on 1000 processors and discussion of highly heterogeneous problems
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Efficient Gram-Schmidt orthonormalisation on parallel computers
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Deflated and Augmented Krylov Subspace Techniques
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FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
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A scalable dual-primal domain decomposition method
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Balancing domain decomposition
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An interface strip preconditioner for domain decomposition methods: application to hydrology
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A numerically scalable domain decomposition method for the solution of frictionless contact problems
inferredcites →https://doi.org/10.1002/nme.1620320604openalex-snapshot
A method of finite element tearing and interconnecting and its parallel solution algorithm
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A micro–macro and parallel computational strategy for highly heterogeneous structures
inferredcites →https://doi.org/10.1002/nme.412openalex-snapshot
Extended preconditioners for the FETI method applied to constrained problems
inferredcites →https://doi.org/10.1002/nme.76openalex-snapshot
FETI‐DP: a dual–primal unified FETI method—part I: A faster alternative to the two‐level FETI method
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An Introduction to Meshfree Methods and Their Programming
inferredcites →https://doi.org/10.1007/3-540-26825-1_36openalex-snapshot
Some Computational Results for Dual-Primal FETI Methods for Elliptic Problems in 3D
inferredcites →https://doi.org/10.1007/3-540-26825-1_50openalex-snapshot
On Scalable Algorithms for Numerical Solution of Variational Inequalities Based on FETI and Semi-monotonic Augmented Lagrangians
inferredcites →https://doi.org/10.1007/978-3-540-34469-8_24openalex-snapshot
An Overview of Scalable FETI—DP Algorithms for Variational Inequalities
inferredcites →https://doi.org/10.1007/978-3-540-34469-8_3openalex-snapshot
Lower Bounds in Domain Decomposition
inferredcites →https://doi.org/10.1007/bf01389450openalex-snapshot
The rate of convergence of Conjugate Gradients
inferredcites →https://doi.org/10.1007/bfb0057927openalex-snapshot
On the influence of the orthogonalization scheme on the parallel performance of GMRES
inferredcites →https://doi.org/10.1007/pl00005389openalex-snapshot
A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
inferredcites →https://doi.org/10.1007/s002110050201openalex-snapshot
Convergence of a substructuring method with Lagrange multipliers
inferredcites →https://doi.org/10.1007/s211-001-8014-1openalex-snapshot
On the convergence of a dual-primal substructuring method
inferredcites →https://doi.org/10.1016/0045-7825(94)90068-xopenalex-snapshot
Optimal convergence properties of the FETI domain decomposition method
inferredcites →https://doi.org/10.1016/0045-7825(94)90202-xopenalex-snapshot
Optimal convergence properties of the FETI domain decomposition method
inferredcites →https://doi.org/10.1016/0377-0427(91)90150-iopenalex-snapshot
Domain decomposition methods for large linearly elliptic three-dimensional problems
inferredcites →https://doi.org/10.1016/0377-0427(95)00047-xopenalex-snapshot
Restarted GMRES preconditioned by deflation
inferredcites →https://doi.org/10.1016/0956-0521(94)00024-gopenalex-snapshot
TOP/DOMDEC—A software tool for mesh partitioning and parallel processing
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A dual Craig–Bampton method for dynamic substructuring
inferredcites →https://doi.org/10.1016/j.cma.2004.03.010openalex-snapshot
The mosaic of high-performance domain decomposition methods for structural mechanics––Part II: Formulation enhancements, multiple right-hand sides and implicit dynamics
inferredcites →https://doi.org/10.1016/j.cma.2006.03.013openalex-snapshot
Nonlinear localization strategies for domain decomposition methods: Application to post-buckling analyses
inferredcites →https://doi.org/10.1016/j.cma.2006.05.014openalex-snapshot
On a mixed and multiscale domain decomposition method
inferredcites →https://doi.org/10.1016/j.crma.2005.03.026openalex-snapshot
New constructions of domain decomposition methods for systems of PDEs
inferredcites →https://doi.org/10.1016/s0045-7825(00)00347-9openalex-snapshot
A domain decomposition strategy for nonclassical frictional multi-contact problems
inferredcites →https://doi.org/10.1016/s0045-7825(03)00288-3openalex-snapshot
On the initial estimate of interface forces in FETI methods
inferredcites →https://doi.org/10.1016/s0045-7825(03)00374-8openalex-snapshot
The mosaic of high performance domain Decomposition Methods for Structural Mechanics: Formulation, interrelation and numerical efficiency of primal and dual methods
inferredcites →https://doi.org/10.1016/s0045-7825(96)01078-xopenalex-snapshot
Meshless methods: An overview and recent developments
inferredcites →https://doi.org/10.1016/s0045-7825(97)00145-xopenalex-snapshot
The two-level FETI method Part II: Extension to shell problems, parallel implementation and performance results
inferredcites →https://doi.org/10.1016/s0045-7825(97)00146-1openalex-snapshot
The two-level FETI method for static and dynamic plate problems Part I: An optimal iterative solver for biharmonic systems
inferredcites →https://doi.org/10.1016/s0045-7825(99)00234-0openalex-snapshot
The second generation FETI methods and their application to the parallel solution of large-scale linear and geometrically non-linear structural analysis problems
inferredcites →https://doi.org/10.1016/s0168-2024(08)x7014-6openalex-snapshot
The Finite Element Method for Elliptic Problems
inferredcites →https://doi.org/10.1016/s0764-4442(00)01793-6openalex-snapshot
Résolution d'EDP par un schéma en temps «pararéel »
inferredcites →https://doi.org/10.1016/s0764-4442(01)02028-6openalex-snapshot
Une mesure de Mahler explicite
inferredcites →https://doi.org/10.1023/a:1016680306741openalex-snapshot
A Rayleigh–Ritz preconditioner for the iterative solution to large scale nonlinear problems
inferredcites →https://doi.org/10.1023/a:1019187614377openalex-snapshot
Iterative accelerating algorithms with Krylov subspaces for the solution to large-scale nonlinear problems
inferredcites →https://doi.org/10.1080/00207168808803625openalex-snapshot
Conjugate gradient method with preconditioning by projector
inferredcites →https://doi.org/10.1090/conm/157/01402openalex-snapshot
A three-field domain decomposition method
inferredcites →https://doi.org/10.1090/conm/157/01418openalex-snapshot
The dual Schur complement method with well-posed local Neumann problems
inferredcites →https://doi.org/10.1090/conm/218/03026openalex-snapshot
On the reuse of Ritz vectors for the solution to nonlinear elasticity problems by domain decomposition methods
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0878697-3openalex-snapshot
On the Lánczos method for solving symmetric linear systems with several right-hand sides
inferredcites →https://doi.org/10.1090/s0025-5718-96-00757-0openalex-snapshot
Balancing domain decomposition for problems with large jumps in coefficients
inferredcites →https://doi.org/10.1103/physrevb.71.094106openalex-snapshot
Irregular lattice model for quasistatic crack propagation
inferredcites →https://doi.org/10.1108/02644400410519839openalex-snapshot
A particle center based homogenization strategy for granular assemblies
inferredcites →https://doi.org/10.1109/sc.1998.10018openalex-snapshot
Multilevel Algorithms for Multi-Constraint Graph Partitioning
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0914047openalex-snapshot
The Dual Schur Complement Method with Well-Posed Local Neumann Problems: Regularization with a Perturbed Lagrangian Formulation
inferredcites →https://doi.org/10.1137/1.9780898718003openalex-snapshot
Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/1.9781611971538openalex-snapshot
Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods
inferredcites →https://doi.org/10.1137/s0036142995291019openalex-snapshot
A Neumann--Neumann Domain Decomposition Algorithm for Solving Plate and Shell Problems
inferredcites →https://doi.org/10.1137/s0895479895294289openalex-snapshot
Analysis of Augmented Krylov Subspace Methods
inferredcites →https://doi.org/10.1137/s0895479897330194openalex-snapshot
An Augmented Conjugate Gradient Method for Solving Consecutive Symmetric Positive Definite Linear Systems
inferredcites →https://doi.org/10.1137/s106482750037620xopenalex-snapshot
Nonlinearly Preconditioned Inexact Newton Algorithms
inferredcites →https://doi.org/10.1137/s1064827502412887openalex-snapshot
A Preconditioner for Substructuring Based on Constrained Energy Minimization
inferredcites →https://doi.org/10.13140/rg.2.2.10951.91046openalex-snapshot
Substructuring and Dual Methods in Structural Analysis
inferredcites →https://doi.org/10.2514/3.4741openalex-snapshot
Coupling of substructures for dynamic analyses.
inferredcites →https://doi.org/10.3166/reef.11.363-377openalex-snapshot
A domain decomposition method for quasi-incompressible formulations with discontinuous pressure field
inferredcites →https://doi.org/10.3166/reef.13.523-534openalex-snapshot
A monolithic strategy based on an hybrid domain decomposition method for multiphysic problems
inferredcites →https://doi.org/10.5555/509058.509086openalex-snapshot
Multilevel Algorithms for Multi-Constraint Graph Partitioning

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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An adaptive global–local approach for phase-field modeling of anisotropic brittle fracture
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A posteriori error estimation and adaptivity in non-intrusive couplings between concurrent models
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Multilevel global–local techniques for adaptive ductile phase-field fracture
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Asynchronous global–local non-invasive coupling for linear elliptic problems
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A domain decomposition strategy for mCRE-based model updating in dynamics
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On the benefits of a multiscale domain decomposition method to model-order reduction for frictional contact problems
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A finite element-based simulation of microstructure evolution through a 3D finite strain Cosserat phase-field model
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Control of the accuracy and improvement of the convergence rate of a LATIN-based multiscale strategy for frictional contact problems
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A multi-scale approach to model localized failure with softening
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Low intrusive coupling of implicit and explicit time integration schemes for structural dynamics: Application to low energy impacts on composite structures
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A beam to 3D model switch in transient dynamic analysis
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Two-level substructuring and parallel mesh generation for domain decomposition methods
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Non-intrusive coupling of a 3-D Generalized Finite Element Method and Abaqus for the multiscale analysis of localized defects and structural features
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On the implementation in Abaqus of the global–local iterative coupling and acceleration techniques
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Numerical approximation of a 3D mechanochemical interface model for skin patterning
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Local strategies for improving the conditioning of the plane-wave Ultra-Weak Variational Formulation
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Facing & mitigating common challenges when working with real-world data: The Data Learning Paradigm
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A multiscale separated representation to compute the mechanical behavior of composites with periodic microstructure
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A domain decomposition method for the simulation of fracture in polysilicon MEMS
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Numerical libraries solving large-scale problems developed at IT4Innovations Research Programme Supercomputing for Industry
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Three-dimensional variational nodal method parallelization for pin resolved neutron transport calculations
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FETI-DP domain decomposition methods for elasticity with structural changes:P-elasticity
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A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem
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PERMON software toolbox as solver of contact problems in mechanics
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Domain-Decomposed Dynamic Mode Decomposition Approach for Prediction of Three-Dimensional Thermal-Fluid Parameters in Molten Salt Reactors
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Mixed nonlinear localization strategy for the buckling and post-buckling analyses of structures: parameter optimization and path following implementation
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3-D elasto-plastic spectral element application to evaluate the stability of large-scale landslides
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Total finite element tearing and interconnection method for computationally efficient micromechanical analysis
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POD-based model order reduction for the simulation of strong nonlinear evolutions in structures: Application to damage propagation
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Deriving a new domain decomposition method for the Stokes equations using the Smith factorization
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On Multiscale Computational Mechanics with Time-Space Homogenization
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Localized adaptive radiation condition for coupling boundary and finite element methods applied to wave propagation problems
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Acceleration Techniques for FETI Solvers for GPU Accelerators
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Finite Element Nodal Approach for Parallel Processing of Non Linear Shell Analysis
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Parallel Finite Element Approach for large Thermal Problems Applied to Glass Bending Furnace
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Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results
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Parallel Computing with the Thick Level Set Method
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Primal Hybrid Finite Element Method for the Helmholtz Equation
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Band structure and transmission characteristics of complex phononic crystals by multi-level substructure scheme
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Massively Parallel Hybrid Total FETI (HTFETI) Solver
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A massively parallel and memory-efficient FEM toolbox with a hybrid total FETI solver with accelerator support
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Goal oriented error estimation in multi-scale shell element finite element problems
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Local/global non-intrusive coupling strategy for robust design: a first attempt
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Elastodynamic analysis by a frequency-domain FEM-BEM iterative coupling procedure
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A parallel algorithm for direct solution of large sparse linear systems, well suitable to domain decomposition methods
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Application of a recycling Krylov subspace strategy for discrete element method applied to brittle crack problems
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Multiscale elastic-viscoplastic computational analysis
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Efficient discretisation and domain decomposition preconditioners for incompressible fluid mechanics
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Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem
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Model Order Reduction of Large-Scale Finite Element Systems in an MPI Parallelized Environment for Usage in Multibody Simulation
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A Nonlinear Dual-Domain Decomposition Method: Application to Structural Problems with Damage
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On the Benefits of a Multiscale Domain Decomposition Method to Model-Order Reduction for Frictional Contact Problems
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Domain decomposition methods for uncertainty quantification
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Scalable Domain Decomposition Algorithms for Uncertainty Quantification in High Performance Computing
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3D simulation of magneto-mechanical coupling in MRI scanners using high order FEM and POD
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A New mCRE-DDM Based Approach for Model Updating in Structural Dynamics with Industrial Applications
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Parallelization using a BDD-C of a multiscale strategy with non lineal localization based on a NKS
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The effect of the mesh refinement on a multiscale domain decomposition method for the non-linear simulation of composite structures
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Multiscale elastic-viscoplastic computational analysis
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Progressive Domain Decomposition for Efficient Training of Physics-Informed Neural Network
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Efficient thermomechanical modelling of large-scale metal additive manufacturing
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Balancing Domain Decomposition with Nonlinear Relocalization: Parallel Implementation for Laminates
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Simulating Viscous Fingering with a Timespace Method and Anisotropic Mesh Adaptation
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3D simulation of magneto-mechanical coupling in MRI scanners using high order FEM and POD
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Local preconditioning for parallel iterative solvers
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Calcul à l'echelle méso avec interface non locale des composites stratifiés
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An adaptive multi-model approach for damage propagation simulations in large composite structures
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Sur la TVRC en dynamique transitoire : approche large bande de fréquence et réduction de modèle
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Stratégie multiéchelle pour l'analyse du couplage flambage-délaminage de composites stratifiés
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Modélisation multi-échelles des shales : influence de la microstructure sur les propriétés macroscopiques et le processus de fracturation
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Simulation of low- and mid-frequency response of shocks with a frequency approach
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Réduction de modèle pour les problèmes nonlinéaires de structures avec interfaces de contact multiples
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Separated représentations for th multiscale simulation of the mechanical behavior and damages of composite materials.
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Une approche à deux niveaux pour le calcul de structures haute performance : décomposition -- maillage -- résolution
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Modélisation aux échelles méso- et macroscopique du comportement mécanique de zones singulières de pièces de structure en CMC
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Stratégies de résolution numérique pour des problèmes d'identification de fissures et de conditions aux limites
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Sur la robustesse d'une méthode de décomposition de domaine mixte avec relocalisation non linéaire pour le traitement des instabilités géométriques dans les grandes structures raidies
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A weakly-intrusive multi-scale substitution method in explicit dynamics
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Solving Partial Differential Equations by Taylor Meshless Method
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Isogeometric modeling for the optimal design of aerostructures
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Réduction du coût de calcul pour la simulation du comportement mécanique de câbles
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