Parallel FETI algorithms for mortars

DOI10.1016/j.apnum.2004.09.030zbMath1072.65150OpenAlexW2003001332MaRDI QIDQ557948

Dan Stefanica

Publication date: 30 June 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.09.030

zbMATH Keywords

numerical examplesPoisson equationFETI methodfinite element tearing and interconnecting algorithmMortar finite elementsParallel implementations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05)

Related Items (8)

A dual domain decomposition algorithm for the analysis of non-conforming isogeometric Kirchhoff-Love shells ⋮ Coupling of polynomial approximations with application to a boundary meshless method ⋮ Coupling finite and boundary element methods for static and dynamic elastic problems with non-conforming interfaces ⋮ Scalable FEA on non-conforming assembly mesh ⋮ A mixed parallel strategy for the solution of coupled multi-scale problems at finite strains ⋮ A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface ⋮ Lagrangian formulation of domain decomposition methods: a unified theory ⋮ Least‐square collocation and Lagrange multipliers forTaylor meshless method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two different approaches for matching nonconforming grids: The mortar element method and the FETI method
• FETI and FETI-DP methods for spectral and mortar spectral elements: A performance comparison
• Solution of contact problems by FETI domain decomposition with natural coarse space projections
• The two-level FETI method for static and dynamic plate problems I: An optimal iterative solver for biharmonic systems
• A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
• A Domain Decomposition Method with Lagrange Multipliers and Inexact Solvers for Linear Elasticity
• FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
• A FETI Preconditioner for Two Dimensional Edge Element Approximations of Maxwell's Equations on Nonmatching Grids
• A numerically scalable domain decomposition method for the solution of frictionless contact problems
• A Numerical Study of FETI Algorithms for Mortar Finite Element Methods
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• A two-level finite element method and its application to the Helmholtz equation
• A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
• A Scalable Substructuring Method by Lagrange Multipliers for Plate Bending Problems
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• A FETI Domain Decomposition Method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients
• Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
• Extended preconditioners for the FETI method applied to constrained problems
• A scalable Lagrange multiplier based domain decomposition method for time‐dependent problems
• Discretization methods and iterative solvers based on domain decomposition
• On the convergence of a dual-primal substructuring method

This page was built for publication: Parallel FETI algorithms for mortars