A BDDC Algorithm for Weak Galerkin Discretizations

DOI10.1007/978-3-319-52389-7_27zbMath1369.65164OpenAlexW2597128558MaRDI QIDQ5282920

Bin Wang, Xuemin Tu

Publication date: 17 July 2017

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-52389-7_27

zbMATH Keywords

biharmonic equationHelmholtz equationMaxwell equationStokes equationDarcy equationsecond-order elliptic problemBrinkman equationnonconforming finite element methodsweak Galerkin methodsweak gradient operator

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) Navier-Stokes equations (35Q30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Maxwell equations (35Q61)

Cites Work

• A BDDC algorithm for second-order elliptic problems with hybridizable discontinuous Galerkin discretizations
• Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity
• An algebraic theory for primal and dual substructuring methods by constraints
• A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods
• 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
• A weak Galerkin finite element method with polynomial reduction
• Multigrid for an HDG method
• A new weak Galerkin finite element method for the Helmholtz equation
• A weak Galerkin mixed finite element method for second order elliptic problems
• Dual-primal FETI methods for linear elasticity
• FETI-DP, BDDC, and block Cholesky methods
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A Schwarz Preconditioner for a Hybridized Mixed Method
• A Preconditioner for Substructuring Based on Constrained Energy Minimization
• Convergence of a balancing domain decomposition by constraints and energy minimization
• BDDC Algorithms for Incompressible Stokes Equations
• A weak Galerkin finite element method for the Stokes equations

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