Using a reduced number of Lagrange multipliers for assembling parallel incomplete field finite element approximations

DOI10.1016/0045-7825(92)90050-TzbMath0826.73056OpenAlexW2081441772MaRDI QIDQ1205648

Charbel Farhat, Michel Géradin

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0045-7825(92)90050-t

zbMATH Keywords

large-scale problemsspatial domaincompatibility constraintsiterative refinement procedurelow order polynomial approximation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (11)

Extending substructure based iterative solvers to multiple load and repeated analyses ⋮ Two different approaches for matching nonconforming grids: The mortar element method and the FETI method ⋮ On some techniques for approximating boundary conditions in the finite element method ⋮ A practical rule for the derivation of transition finite elements ⋮ A two-step, two-field hybrid method for the static and dynamic analysis of substructure problems with conforming and non-conforming interfaces ⋮ A gap element for treating non-matching discrete interfaces ⋮ A unified framework for accelerating the convergence of iterative substructuring methods with Lagrange multipliers ⋮ The discontinuous enrichment method ⋮ A Novel Gap Element for the Coupling of Incompatible Interface in Component Mode Synthesis Method ⋮ Incorporation of linear multipoint constraints in domain-decomposition-based iterative solvers. II: Blending FETI-DP and mortar methods and assembling floating substructures ⋮ Implicit time integration of a class of constrained hybrid formulations. I. Spectral stability theory.

Cites Work

• A new finite element concurrent computer program architecture
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• A Set of Principles to Interconnect the Solutions of Physical Systems
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