A Numerical Study of FETI Algorithms for Mortar Finite Element Methods

DOI10.1137/S1064827500378829zbMath0999.65127MaRDI QIDQ2780571

Dan Stefanica

Publication date: 15 April 2002

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

Lagrange multipliersnumerical examplesdomain decompositionpreconditionersnonconforming finite elementsiterative substructuring methodmortar finite elementsfinite element tearing and interconnecting methodelliptic self-adjoint equationsFETI algorithms

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) 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

BV estimates for mortar methods in linear elasticity ⋮ A dual domain decomposition algorithm for the analysis of non-conforming isogeometric Kirchhoff-Love shells ⋮ A mixed parallel strategy for the solution of coupled multi-scale problems at finite strains ⋮ A scalable FETI-DP algorithm for a coercive variational inequality ⋮ Parallel FETI algorithms for mortars ⋮ A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface ⋮ Lagrangian formulation of domain decomposition methods: a unified theory ⋮ Incorporation of linear multipoint constraints in domain-decomposition-based iterative solvers. II: Blending FETI-DP and mortar methods and assembling floating substructures ⋮ A scalable FETI-DP algorithm for a semi-coercive variational inequality ⋮ Quasi-simultaneous coupling methods for partitioned problems in computational hemodynamics