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On the Benefits of a Multiscale Domain Decomposition Method to Model-Order Reduction for Frictional Contact Problems

https://doi.org/10.2139/ssrn.4775112
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Design of Architectured Materials Based on Mechanically Driven Structural and Compositional Patterning
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A micro–macro and parallel computational strategy for highly heterogeneous structures
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On a multiscale strategy and its optimization for the simulation of combined delamination and buckling
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A multiscale large time increment/FAS algorithm with time‐space model reduction for frictional contact problems
inferredcites →https://doi.org/10.1002/nme.5135openalex-snapshot
Projection‐based model reduction for contact problems
inferredcites →https://doi.org/10.1002/nme.6261openalex-snapshot
A reduced basis method for parametrized variational inequalities applied to contact mechanics
inferredcites →https://doi.org/10.1002/nme.7118openalex-snapshot
On the limitations of low‐rank approximations in contact mechanics problems
inferredcites →https://doi.org/10.1007/978-1-4020-6405-0_1openalex-snapshot
Multigrid Methods for Unilateral Contact Problems with Friction
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Nonlinear Computational Structural Mechanics
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Robust Contact and Friction Model for the Fatigue Estimate of a Wire Rope in the Mooring Line of a Floating Offshore Wind Turbine
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Certified Reduced Basis Methods for Parametrized Partial Differential Equations
inferredcites →https://doi.org/10.1007/978-3-540-32609-0openalex-snapshot
Computational Contact Mechanics
inferredcites →https://doi.org/10.1007/978-3-662-02427-0openalex-snapshot
Multi-Grid Methods and Applications
inferredcites →https://doi.org/10.1007/978-3-662-39778-7_10openalex-snapshot
Singular Value Decomposition and Least Squares Solutions
inferredcites →https://doi.org/10.1007/bf00365863openalex-snapshot
Solution of frictional contact problems using ILU and coarse/fine preconditioners
inferredcites →https://doi.org/10.1007/bf01397471openalex-snapshot
Updating the singular value decomposition
inferredcites →https://doi.org/10.1007/bf02163027openalex-snapshot
Singular value decomposition and least squares solutions
inferredcites →https://doi.org/10.1007/bf02905857openalex-snapshot
Non-overlapping domain decomposition methods in structural mechanics
inferredcites →https://doi.org/10.1007/s00466-009-0378-3openalex-snapshot
A three-scale domain decomposition method for the 3D analysis of debonding in laminates
inferredcites →https://doi.org/10.1007/s00466-010-0504-2openalex-snapshot
A scalable time–space multiscale domain decomposition method: adaptive time scale separation
inferredcites →https://doi.org/10.1007/s00466-017-1444-xopenalex-snapshot
A non-invasive implementation of a mixed domain decomposition method for frictional contact problems
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An enrichment-based approach for the simulation of fretting problems
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Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations
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A Short Review on Model Order Reduction Based on Proper Generalized Decomposition
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/10.1016/0045-7949(92)90540-gopenalex-snapshot
An augmented lagrangian treatment of contact problems involving friction
inferredcites →https://doi.org/10.1016/j.advengsoft.2008.12.006openalex-snapshot
Total FETI based algorithm for contact problems with additional non-linearities
inferredcites →https://doi.org/10.1016/j.cam.2009.04.017openalex-snapshot
A scalable FETI–DP algorithm with non-penetration mortar conditions on contact interface
inferredcites →https://doi.org/10.1016/j.cma.2006.03.025openalex-snapshot
A scalable FETI-DP algorithm for a semi-coercive variational inequality
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.cma.2007.03.004openalex-snapshot
A new fatigue frictional contact crack propagation model with the coupled X-FEM/LATIN method
inferredcites →https://doi.org/10.1016/j.cma.2007.07.023openalex-snapshot
A multiscale extended finite element method for crack propagation
inferredcites →https://doi.org/10.1016/j.cma.2009.06.023openalex-snapshot
The LATIN multiscale computational method and the Proper Generalized Decomposition
inferredcites →https://doi.org/10.1016/j.cma.2010.01.009openalex-snapshot
A priori model reduction through Proper Generalized Decomposition for solving time-dependent partial differential equations
inferredcites →https://doi.org/10.1016/j.cma.2013.08.009openalex-snapshot
A PGD-based homogenization technique for the resolution of nonlinear multiscale problems
inferredcites →https://doi.org/10.1016/j.cma.2014.09.005openalex-snapshot
Toward an optimal a priori reduced basis strategy for frictional contact problems with LATIN solver
inferredcites →https://doi.org/10.1016/j.cma.2017.04.033openalex-snapshot
The Reference Point Method, a “hyperreduction” technique: Application to PGD-based nonlinear model reduction
inferredcites →https://doi.org/10.1016/j.crma.2004.08.006openalex-snapshot
An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
inferredcites →https://doi.org/10.1016/j.laa.2005.07.021openalex-snapshot
Fast low-rank modifications of the thin singular value decomposition
inferredcites →https://doi.org/10.1016/j.proeng.2012.09.551openalex-snapshot
Modal Assurance Criterion
inferredcites →https://doi.org/10.1016/j.triboint.2023.108713openalex-snapshot
A hybrid analytical-FEM 3D approach including wear effects to simulate fretting fatigue endurance: Application to steel wires in crossed contact
inferredcites →https://doi.org/10.1016/s0045-7825(00)00180-8openalex-snapshot
Solution of contact problems by FETI domain decomposition with natural coarse space projections
inferredcites →https://doi.org/10.1016/s0045-7825(02)00406-1openalex-snapshot
A multiscale computational approach for contact problems
inferredcites →https://doi.org/10.1016/s0045-7825(03)00341-4openalex-snapshot
On a multiscale computational strategy with time and space homogenization for structural mechanics
inferredcites →https://doi.org/10.1016/s0045-7949(98)00285-5openalex-snapshot
Modular analysis of assemblages of three-dimensional structures with unilateral contact conditions
inferredcites →https://doi.org/10.1016/s0065-2156(02)80102-8openalex-snapshot
Multifield theories in mechanics of solids
inferredcites →https://doi.org/10.1016/s0168-2024(08)x7003-1openalex-snapshot
Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary-Value Problems
inferredcites →https://doi.org/10.1016/s0377-0427(99)00368-4openalex-snapshot
Duality-based domain decomposition with natural coarse-space for variational inequalities
inferredcites →https://doi.org/10.1051/m2an/2022077openalex-snapshot
Stable model reduction for linear variational inequalities with parameter-dependent constraints
inferredcites →https://doi.org/10.1108/02644401011050912openalex-snapshot
Virtual testing for the prediction of damping in joints
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/10.1137/1.9781611970838openalex-snapshot
Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics
inferredcites →https://doi.org/10.1186/s40323-015-0038-4openalex-snapshot
Proper Generalized Decomposition computational methods on a benchmark problem: introducing a new strategy based on Constitutive Relation Error minimization
inferredcites →https://doi.org/10.1615/intjmultcompeng.v2.i4.40openalex-snapshot
Multiscale Computational Strategy With Time and Space Homogenization: A Radial-Type Approximation Technique for Solving Microproblems
inferredcites →https://doi.org/10.3390/mca24010030openalex-snapshot
Toward Optimality of Proper Generalised Decomposition Bases

What points at this work

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

inferred← citeshttps://doi.org/10.70675/69b82005z2f61z4284z82b0z997f5cf09bc2openalex-snapshot
Réduction de modèle pour les problèmes nonlinéaires de structures avec interfaces de contact multiples
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