A BDDC algorithm for the Stokes problem with weak Galerkin discretizations
From MaRDI portal
Publication:2001683
DOI10.1016/j.camwa.2018.04.024zbMath1419.65125OpenAlexW2799680158WikidataQ129867098 ScholiaQ129867098MaRDI QIDQ2001683
Publication date: 11 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.04.024
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) Second-order elliptic equations (35J15) Preconditioners for iterative methods (65F08)
Related Items
BDDC preconditioners for divergence free virtual element discretizations of the Stokes equations ⋮ Robust BDDC algorithms for finite volume element methods ⋮ Analysis of BDDC algorithms for Stokes problems with hybridizable discontinuous Galerkin discretizations ⋮ BDDC algorithms for advection-diffusion problems with HDG discretizations ⋮ $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations ⋮ Robust BDDC algorithms for the Brinkman problem with HDG discretizations
Uses Software
Cites Work
- Unnamed Item
- A BDDC algorithm for second-order elliptic problems with hybridizable discontinuous Galerkin discretizations
- Application of the parallel BDDC preconditioner to the Stokes flow
- An algebraic theory for primal and dual substructuring methods by constraints
- A domain decomposition technique for Stokes problems
- 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 weak Galerkin finite element method for the Maxwell equations
- Multispace and multilevel BDDC
- Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity
- A weak Galerkin finite element method for second-order elliptic problems
- An auxiliary space multigrid preconditioner for the weak Galerkin method
- Isogeometric block FETI-DP preconditioners for the Stokes and mixed linear elasticity systems
- A dual-primal FETI method for incompressible Stokes equations
- A Nonoverlapping Domain Decomposition Method for Incompressible Stokes Equations with Continuous Pressures
- A unified dual-primal finite element tearing and interconnecting approach for incompressible Stokes equations
- A FETI-DP Algorithm for Incompressible Stokes Equations with Continuous Pressures
- A weak Galerkin mixed finite element method for second order elliptic problems
- Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions
- Accomodating Irregular Subdomains in Domain Decomposition Theory
- Dual-primal FETI methods for linear elasticity
- FETI-DP, BDDC, and block Cholesky methods
- Weak Galerkin Finite Element Methods on Polytopal Meshes
- Three-Level BDDC in Three Dimensions
- An Analysis of a FETI–DP Algorithm on Irregular Subdomains in the Plane
- A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems
- Mixed and Hybrid Finite Element 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
- An Alternative Coarse Space for Irregular Subdomains and an Overlapping Schwarz Algorithm for Scalar Elliptic Problems in the Plane
- A FETI-DP Type Domain Decomposition Algorithm for Three-Dimensional Incompressible Stokes Equations
- Convergence of a balancing domain decomposition by constraints and energy minimization
- Multilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous Media
- On the Design of Small Coarse Spaces for Domain Decomposition Algorithms
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
- BDDC Algorithms for Incompressible Stokes Equations
- Three‐level BDDC in two dimensions
- A weak Galerkin finite element method for the Stokes equations
