Fast auxiliary space preconditioners for linear elasticity in mixed form
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Publication:4637572
DOI10.1090/mcom/3285zbMath1447.65174arXiv1604.02568OpenAlexW2963773676MaRDI QIDQ4637572
Jun Hu, Long Chen, Xuehai Huang
Publication date: 24 April 2018
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.02568
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) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)
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Cites Work
- Unnamed Item
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- Multigrid methods for saddle point problems: Stokes and Lamé systems
- Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\)
- A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate
- Overlapping Schwarz preconditioner for the mixed formulation of plane elasticity
- Uniformly convergent iterative methods for discontinuous Galerkin discretizations
- Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes
- Local and parallel algorithms for fourth-order problems discretized by the Morley-Wang-Xu element method
- Continuous preconditioners for the mixed Poisson problem
- Robust multigrid method for the planar linear elasticity problems
- A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations
- On the construction of optimal mixed finite element methods for the linear elasticity problem
- A multilevel discontinuous Galerkin method
- Robust multigrid methods for nearly incompressible elasticity
- A class of iterative methods for solving saddle point problems
- Mixed finite elements for elasticity
- The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids
- Multigrid methods for a parameter-dependent problem in primal variables
- An auxiliary space multigrid preconditioner for the weak Galerkin method
- A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids
- A two-level algorithm for the weak Galerkin discretization of diffusion problems
- A mixed finite element method for elasticity in three dimensions
- On the Necessity and Sufficiency of the Patch Test for Convergence of Nonconforming Finite Elements
- Preconditioning Heterogeneous $\boldsymbol{H}(\mathrm{div})$ Problems by Additive Schur Complement Approximation and Applications
- Finite element approximations of symmetric tensors on simplicial grids in ℝn: The lower order case
- Preconditioning discretizations of systems of partial differential equations
- Multigrid for an HDG method
- Multigrid methods for the symmetric interior penalty method on graded meshes
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems
- Auxiliary Space Preconditioners for Mixed Finite Element Methods
- A preconditioner for the equations of linear elasticity discretized by the PEERS element
- Energy norm a posteriori error estimates for mixed finite element methods
- Numerical solution of saddle point problems
- Finite element approximations of symmetric tensors on simplicial grids in Rn: the high order case
- Auxiliary Space AMG for H(curl) Problems
- Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems
- Parallel Auxiliary Space AMG for H(Curl) Problems
- Finite elements for symmetric tensors in three dimensions
- A multilevel method for discontinuous Galerkin approximation of three‐dimensional anisotropic elliptic problems
- Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case
- Multilevel Preconditioning of Two-dimensional Elliptic Problems Discretized by a Class of Discontinuous Galerkin Methods
- Two‐level preconditioning of discontinuous Galerkin approximations of second‐order elliptic equations
- A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method
- An Interior Penalty Finite Element Method with Discontinuous Elements
- The Analysis of Smoothers for Multigrid Algorithms
- A Nonconforming Mixed Multigrid Method for the Pure Displacement Problem in Planar Linear Elasticity
- Iterative Methods by Space Decomposition and Subspace Correction
- On a robust and scalable linear elasticity solver based on a saddle point formulation
- A Nonconforming Mixed Multigrid Method for the Pure Traction Problem in Planar Linear Elasticity
- A comparison of adaptive refinement techniques for elliptic problems
- Multigrid Methods for the Pure Traction Problem of Linear Elasticity: Mixed Formulation
- Constraint Preconditioning for Indefinite Linear Systems
- Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems
- Analysis of Preconditioners for Saddle-Point Problems
- Poincaré–Friedrichs Inequalities for PiecewiseH2Functions
- Convergence of Multigrid Algorithms for Interior Penalty Methods
- Korn's inequalities for piecewise $H^1$ vector fields
- Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
- Interior penalty preconditioners for mixed finite element approximations of elliptic problems
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Mixed Finite Element Methods and Applications
- A New Family of Efficient Conforming Mixed Finite Elements on Both Rectangular and Cuboid Meshes for Linear Elasticity in the Symmetric Formulation
- A Posteriori Error Estimators for the Raviart–Thomas Element
- Constraint-Style Preconditioners for Regularized Saddle Point Problems
- Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
- Preconditioning methods for linear systems arising in constrained optimization problems
- Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients
- Optimal Solvers for Fourth-Order PDEs Discretized on Unstructured Grids
- The Mathematical Theory of Finite Element Methods
- A Multigrid Preconditioner for the Mixed Formulation of Linear Plane Elasticity
- RECTANGULAR MIXED FINITE ELEMENTS FOR ELASTICITY
- Auxiliary space multigrid method based on additive Schur complement approximation
- Postprocessing schemes for some mixed finite elements
