A two-step, two-field hybrid method for the static and dynamic analysis of substructure problems with conforming and non-conforming interfaces

DOI10.1016/S0045-7825(97)00128-XzbMath0958.74071OpenAlexW2095503002MaRDI QIDQ1962649

Daniel J. Rixen, Charbel Farhat, Michel Géradin

Publication date: 31 January 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00128-x

zbMATH Keywords

smoothing procedureconforming and nonconforming substructure mesheslow-order polynomialpiece-wise polynomial Lagrange multiplierssubstructure heterogeneitiestwo-field hybrid methodtwo-step solution method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

Extended preconditioners for the FETI method applied to constrained problems ⋮ A substructuring technique for finite element wave propagation in multi-layered systems ⋮ A gluing method for non-matching meshes ⋮ A Finite Volume Chimera Method for Fast Transient Dynamics in Compressible Flow Problems ⋮ A fast weakly intrusive multiscale method in explicit dynamics ⋮ Comparative crash simulations incorporating the results of sheet forming analyses ⋮ A STUDY OF HIGHER-ORDER DISCONTINUOUS GALERKIN AND QUADRATIC LEAST-SQUARES STABILIZED FINITE ELEMENT COMPUTATIONS FOR ACOUSTICS ⋮ Interface-reduction for the Craig-Bampton and Rubin method applied to FE-BE coupling with a large fluid-structure interface ⋮ Incorporation of linear multipoint constraints in domain-decomposition-based iterative solvers. II: Blending FETI-DP and mortar methods and assembling floating substructures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A domain decomposition preconditioner with reduced rank interdomain coupling
• Using a reduced number of Lagrange multipliers for assembling parallel incomplete field finite element approximations
• Partitioned procedures for the transient solution of coupled aeroelastic problems. I: Model problem, theory and two-dimensional application.
• The finite element method with Lagrangian multipliers
• On a component mode synthesis method and its application to incompatible substructures
• A general substructure synthesis method for the dynamic simulation of complex structures
• An Unconventional Domain Decomposition Method for an Efficient Parallel Solution of Large-Scale Finite Element Systems
• Mixed and Hybrid Finite Element Methods
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics
• A transient FETI methodology for large‐scale parallel implicit computations in structural mechanics
• The Dual Schur Complement Method with Well-Posed Local Neumann Problems: Regularization with a Perturbed Lagrangian Formulation
• A coupled analysis method for structures with independently modelled finite element subdomains