An Element-Based Preconditioner for Mixed Finite Element Problems

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
A robust two-level domain decomposition preconditioner for systems of PDEs
Automated solution of differential equations by the finite element method. The FEniCS book
Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems
Preconditioners for saddle point linear systems with highly singular \((1,1)\) blocks
An analysis of some element-by-element techniques
A preconditioning technique based on element matrix factorizations
Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
An element-by-element solution algorithm for problems of structural and solid mechanics
Unconditionally stable element-by-element algorithms for dynamic problems
A numerical solution of the Navier-Stokes equations using the finite element technique
Efficient solvers for incompressible flow problems. An algorithmic and computational approach
Multigrid methods for a parameter-dependent problem in primal variables
Conjugate gradient for nonsingular saddle-point systems with a maximally rank-deficient leading block
An analysis of element-by-element preconditioners for nonsymmetric problems
Robust preconditioners for incompressible MHD models
On element-by-element Schur complement approximations
A Note on Preconditioning Nonsymmetric Matrices
Natural Preconditioning and Iterative Methods for Saddle Point Systems
Finite Elements and Fast Iterative Solvers
Preconditioning discretizations of systems of partial differential equations
Automatic spectral coarse spaces for robust finite element tearing and interconnecting and balanced domain decomposition algorithms
Element-by-Element Schur Complement Approximations for General Nonsymmetric Matrices of Two-by-Two Block Form
Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier–Stokes Problem
Nonstandard Norms and Robust Estimates for Saddle Point Problems
Firedrake
Preconditioners for the discretized time-harmonic Maxwell equations in mixed form
Algebraic multilevel preconditioning of finite element matrices using local Schur complements
Numerical solution of saddle point problems
Preconditioning of Boundary Value Problems Using Elementwise Schur Complements
Element Preconditioning Using Splitting Techniques
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
Mixed and Hybrid Finite Element Methods
Solution of Sparse Indefinite Systems of Linear Equations
Fast Iterative Solution of Stabilised Stokes Systems. Part I: Using Simple Diagonal Preconditioners
Fast Iterative Solution of Stabilised Stokes Systems Part II: Using General Block Preconditioners
Element-by-Element Preconditioners for Large Partially Separable Optimization Problems
A Note on Preconditioning for Indefinite Linear Systems
Scalable Preconditioners for Structure Preserving Discretizations of Maxwell Equations in First Order Form
Optimal Preconditioning for Raviart--Thomas Mixed Formulation of Second-Order Elliptic Problems
Analysis of Preconditioners for Saddle-Point Problems
A Preconditioner for the Steady-State Navier--Stokes Equations
Finite Element Methods for Maxwell's Equations
Balancing Domain Decomposition for Mixed Finite Elements
Any Nonincreasing Convergence Curve is Possible for GMRES
Additive Schur Complement Approximation and Application to Multilevel Preconditioning
An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier--Stokes Equations at High Reynolds Number
Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
Preconditioning
Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
An Augmented Lagrangian‐Based Approach to the Oseen Problem
Auxiliary space multigrid method based on additive Schur complement approximation
Methods of conjugate gradients for solving linear systems
Finite Elements

This page was built for publication: An Element-Based Preconditioner for Mixed Finite Element Problems