A FETI method with a mesh independent condition number for the iteration matrix
DOI10.1016/j.cma.2007.11.019zbMath1186.65147OpenAlexW2078599880MaRDI QIDQ1013916
Christine Bernardi, Eliseo Chacón Vera, Tómas Chacón-Rebollo
Publication date: 23 April 2009
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2007.11.019
Lagrange multipliersnumerical resultsconsistencycondition numberfinite element tearing and interconnecting (FETI) methods
Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms
- Wavelet stabilization of the Lagrange multiplier method
- Domain decomposition methods for nonlinear problems in fluid dynamics
- Convergence of a substructuring method with Lagrange multipliers
- The mortar finite element method with Lagrange multipliers
- FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
- Finite Element Methods for Navier-Stokes Equations
- 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
- Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
- A Scalable Substructuring Method by Lagrange Multipliers for Plate Bending Problems
- Application of the FETI method to ASCI problems?scalability results on 1000 processors and discussion of highly heterogeneous problems
- Theoretical comparison of the FETI and algebraically partitioned FETI methods, and performance comparisons with a direct sparse solver
- A Unified Approach for Uzawa Algorithms
- Equivalent Norms for Sobolev Spaces
- On the convergence of a dual-primal substructuring method
This page was built for publication: A FETI method with a mesh independent condition number for the iteration matrix