A unified framework for accelerating the convergence of iterative substructuring methods with Lagrange multipliers
From MaRDI portal
Publication:4216468
DOI<257::AID-NME361>3.0.CO;2-R 10.1002/(SICI)1097-0207(19980530)42:2<257::AID-NME361>3.0.CO;2-RzbMath0907.73059OpenAlexW2030768625MaRDI QIDQ4216468
Charbel Farhat, Franck Risler, Francois-Xavier Roux, Po-Shu Chen
Publication date: 26 October 1998
Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19980530)42:2<257::aid-nme361>3.0.co;2-r
Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Parallel numerical computation (65Y05)
Related Items
A dual-primal FETI method for solving a class of fluid-structure interaction problems in the frequency domain, A simple explicit-implicit finite element tearing and interconnecting transient analysis algorithm, Multidirectional sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems, An Eulerian-Lagrangian moving immersed interface method for simulating burning solids, Accelerating the convergence of AFETI partitioned analysis of heterogeneous structural dynamical systems, The nsBETI method: an extension of the FETI method to non-symmetrical BEM-FEM coupled problems, Asynchronous multisplitting-based primal Schur method, An extension of the FETI domain decomposition method for incompressible and nearly incompressible problems., The mosaic of high performance domain decomposition methods for structural mechanics: formulation, interrelation and numerical efficiency of primal and dual methods., Advances on the domain decomposition solution of large scale porous media problems, FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method, Parallel computation approaches for flexible multibody dynamics simulations, Unnamed Item, FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING, Unnamed Item, A numerically scalable dual-primal substructuring method for the solution of contact problems. I: The frictionless case, An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics, A posteriori finite element output bounds in three space dimensions using the FETI method, FEM and BEM parallel processing: theory and applications – a bibliography (1996‐2002), A FETI‐preconditioned conjugate gradient method for large‐scale stochastic finite element problems, Incorporation of linear multipoint constraints in domain-decomposition-based iterative solvers. II: Blending FETI-DP and mortar methods and assembling floating substructures, Two-level domain decomposition methods with Lagrange multipliers for the fast iterative solution of acoustic scattering problems, The second generation FETI methods and their application to the parallel solution of large-scale linear and geometrically non-linear structural analysis problems, The mosaic of high-performance domain decomposition methods for structural mechanics. II: Formulation enhancements, multiple right-hand sides and implicit dynamics, A dual-primal FETI method for incompressible Stokes equations
Cites Work
- Using a reduced number of Lagrange multipliers for assembling parallel incomplete field finite element approximations
- NURBS approximation of surface / surface intersection curves
- Extending substructure based iterative solvers to multiple load and repeated analyses
- Convergence of a substructuring method with Lagrange multipliers
- Domain decomposition methods for large linearly elliptic three-dimensional problems
- On a component mode synthesis method and its application to incompatible substructures
- Balancing domain decomposition
- Conjugate gradient method with preconditioning by projector
- An Unconventional Domain Decomposition Method for an Efficient Parallel Solution of Large-Scale Finite Element Systems
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
- Mesh partitioning for implicit computations via iterative domain decomposition: Impact and optimization of the subdomain aspect ratio
- A scalable Lagrange multiplier based domain decomposition method for time‐dependent problems
