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Parameter-robust preconditioners for Biot’s model
This work presents an overview of the most relevant results obtained by the authors regarding the numerical solution of the Biot’s consolidation...
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Three-Level NOSAS Preconditioners
The nonoverlap** spectral additive Schwarz methods (NOSAS) were first introduced as two-level domain decomposition preconditioners [5, 6] designed...
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Modified restrictive preconditioners for double saddle point problems arising from liquid crystal director modeling
We further investigate the double saddle point problem arising from liquid crystal directors modeling. First, we transform the original linear system...
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Sparse Approximate Inverse Preconditioners
Consider a preconditioner M based on an incomplete LU (or Cholesky) factorization of a matrix A. M −1, which represents an approximation of A −1, is...
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Iterative Subregion Correction Preconditioners with Adaptive Tolerance for Problems with Geometrically Localized Stiffness
We present a class of preconditioners for the linear systems resulting from a finite element or discontinuous Galerkin discretizations of...
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On the improvement of shift-splitting preconditioners for double saddle point problems
The shift-splitting preconditioner is investigated and improved within relaxation and preconditioning techniques to solve a special double saddle...
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Robust and Efficient Preconditioners for Stokes–Darcy Problems
Coupled systems of porous media and free flow can be modelled by the Stokes equations in the free-flow domain, Darcy’s law in the porous medium, and...
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Preconditioners with Symmetrized Techniques for Space Fractional Cahn-Hilliard Equations
In this paper, we study space fractional Cahn-Hilliard equations. A second-order stabilized finite difference scheme is exploited for the model...
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Eigenspectral Analysis of Preconditioners in an Adaptive Compressible Flow Solver
An implicit-in-time discontinuous Galerkin (DG) solver has been developed for compressible flows, which adopts an adaptive time step** strategy...
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MPI+OpenMP Implementation of the Conjugated Gradient Method with Factorized Implicit Preconditioners
AbstractNoniterative methods are proposed for using the MPI+OpenMP technology to construct and invert block Jacobi (BJ) preconditioners in...
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An Error-Based Low-Rank Correction for Pressure Schur Complement Preconditioners
We describe a multiplicative low-rank correction scheme for pressure Schur complement preconditioners to accelerate the iterative solution of the...
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Algebraic Preconditioners and Approximate Factorizations
When a matrix factorization is performed using finite precision arithmetic, the computed factors are not the exact factors. Despite this, the...
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Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems
Preconditioning for Toeplitz systems has been an active research area over the past few decades. Along this line of research, circulant...
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Rational Approximation Preconditioners for Multiphysics Problems
We consider a class of mathematical models describing multiphysics phenomena interacting through interfaces. On such interfaces, the traces of the...
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New preconditioners for the Laplace and Helmholtz integral equations on open curves: analytical framework and numerical results
Helmholtz wave scattering by open screens in 2D can be formulated as first-kind integral equations which lead to ill-conditioned linear systems after...
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Uniform Subspace Correction Preconditioners for Discontinuous Galerkin Methods with hp-Refinement
In this paper, we develop subspace correction preconditioners for discontinuous Galerkin (DG) discretizations of elliptic problems with hp -refinement....
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Analytical preconditioners for Neumann elastodynamic boundary element methods
Recent works in the boundary element method (BEM) community have been devoted to the derivation of fast techniques to perform the matrix-vector...
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Heterogeneous Implementation of Preconditioners Based on Gauss–Seidel Method for Sparse Block Matrices
In this paper we present a parallel preconditioner algorithm for the Krylov-type iterative method based on the multicolor Gauss–Seidel method and its...
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Block preconditioners for linear systems in interior point methods for convex constrained optimization
In this paper, we address the preconditioned iterative solution of the saddle-point linear systems arising from the (regularized) Interior Point...
