Analysis of BDDC algorithms for Stokes problems with hybridizable discontinuous Galerkin discretizations

DOI10.1553/etna_vol52s553zbMath1456.65024OpenAlexW3090864580MaRDI QIDQ2218924

Jinjin Zhang, Xuemin Tu, Bin Wang

Publication date: 18 January 2021

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol52/abstract.php?vol=52&pages=553-570

zbMATH Keywords

Stokes problemsdomain decompositiondiscontinuous Galerkin methodsaddle point problemsHDG methodbenign subspace

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (3)

Robust BDDC algorithms for finite volume element methods ⋮ BDDC algorithms for advection-diffusion problems with HDG discretizations ⋮ Robust BDDC algorithms for the Brinkman problem with HDG discretizations

Cites Work

• A BDDC algorithm for a class of staggered discontinuous Galerkin methods
• A BDDC algorithm for second-order elliptic problems with hybridizable discontinuous Galerkin discretizations
• An algebraic theory for primal and dual substructuring methods by constraints
• A domain decomposition technique for Stokes problems
• A three-level BDDC algorithm for a saddle point problem
• A hybridizable discontinuous Galerkin method for Stokes flow
• A BDDC algorithm for flow in porous media with a hybrid finite element discretization
• A BDDC algorithm for a mixed formulation of flow in porous media
• A balancing domain decomposition method by constraints for advection-diffusion problems
• Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity
• A BDDC algorithm for the Stokes problem with weak Galerkin discretizations
• Isogeometric block FETI-DP preconditioners for the Stokes and mixed linear elasticity systems
• A dual-primal FETI method for incompressible Stokes equations
• BDDC PRECONDITIONERS FOR ISOGEOMETRIC ANALYSIS
• A Nonoverlapping Domain Decomposition Method for Incompressible Stokes Equations with Continuous Pressures
• Isogeometric BDDC Preconditioners with Deluxe Scaling
• Multigrid for an HDG method
• A unified dual-primal finite element tearing and interconnecting approach for incompressible Stokes equations
• Convergence analysis of a balancing domain decomposition method for solving a class of indefinite linear systems
• A FETI-DP Algorithm for Incompressible Stokes Equations with Continuous Pressures
• Analysis of HDG methods for Stokes flow
• An approximate BDDC preconditioner
• Dual-primal FETI methods for linear elasticity
• FETI-DP, BDDC, and block Cholesky methods
• Three-Level BDDC in Three Dimensions
• A Three-Level BDDC Algorithm for Mortar Discretizations
• Inexact FETI-DP methods
• A Schwarz Preconditioner for a Hybridized Mixed Method
• A Preconditioner for Substructuring Based on Constrained Energy Minimization
• Balancing Neumann-Neumann methods for incompressible Stokes equations
• BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions
• A FETI-DP Type Domain Decomposition Algorithm for Three-Dimensional Incompressible Stokes Equations
• Convergence of a balancing domain decomposition by constraints and energy minimization
• BDDC Algorithms for Incompressible Stokes Equations
• Three‐level BDDC in two dimensions
• BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/hp elements with variable local polynomial degree
• A weak Galerkin finite element method for the Stokes equations

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