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08/25/2022
Block preconditioners for the Marker and Cell discretization of the Stokes-Darcy equations
We develop block preconditioners for solving the Stokes-Darcy equations,...
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06/11/2022
Optimized sparse approximate inverse smoothers for solving Laplacian linear systems
In this paper we propose and analyze new efficient sparse approximate in...
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04/22/2022
Parameter-robust Braess-Sarazin-type smoothers for linear elasticity problems
In this work, we propose three Braess-Sarazin-type multigrid relaxation ...
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04/04/2022
A Vanka-based parameter-robust multigrid relaxation for the Stokes-Darcy Brinkman problems
We propose a block-structured multigrid relaxation scheme for solving th...
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03/22/2022
Smoothing analysis of two robust multigrid methods for elliptic optimal control problems
In this paper we study and compare two multigrid relaxation schemes with...
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03/21/2022
A Vanka-type multigrid solver for complex-shifted Laplacian systems from diagonalization-based parallel-in-time algorithms
We propose and analyze a Vanka-type multigrid solver for solving a seque...
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03/09/2022
Optimal smoothing factor with coarsening by three for the MAC scheme for the Stokes equations
In this work, we propose a local Fourier analysis for multigrid methods ...
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11/30/2021
A novel multigrid method for elliptic distributed control problems
Large linear systems of saddle-point type have arisen in a wide variety ...
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11/09/2021
Novel mass-based multigrid relaxation schemes for the Stokes equations
In this work, we propose three novel block-structured multigrid relaxati...
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11/04/2021
A note on using the mass matrix as a preconditioner for the Poisson equation
We show that the mass matrix derived from finite elements can be effecti...
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11/04/2021
A closed-form multigrid smoothing factor for an additive Vanka-type smoother applied to the Poisson equation
We consider an additive Vanka-type smoother for the Poisson equation dis...
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09/29/2021
Anderson Acceleration as a Krylov Method with Application to Asymptotic Convergence Analysis
Anderson acceleration is widely used for accelerating the convergence of...
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09/29/2021
Linear Asymptotic Convergence of Anderson Acceleration: Fixed-Point Analysis
We study the asymptotic convergence of AA(m), i.e., Anderson acceleratio...
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09/27/2021
HSS(0): an Improved Hermitian/Skew-Hermitian Splitting Iteration
We propose an improved version of the Hermitian/skew-Hermitian splitting...
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08/04/2021
Local Fourier analysis of Balancing Domain Decomposition by Constraints algorithms
Local Fourier analysis is a commonly used tool for the analysis of multi...
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08/03/2021
Local Fourier Analysis of P-Multigrid for High-Order Finite Element Operators
Multigrid methods are popular for solving linear systems derived from di...
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07/08/2021
Monolithic multigrid for a reduced-quadrature discretization of poroelasticity
Advanced finite-element discretizations and preconditioners for models o...
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03/22/2021
Low-order preconditioning of the Stokes equations
Low-order finite-element discretizations are well-known to provide effec...
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07/06/2020
Quantifying the asymptotic linear convergence speed of Anderson Acceleration applied to ADMM
We explain how Anderson Acceleration (AA) speeds up the Alternating Dire...
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07/04/2020
On the Asymptotic Linear Convergence Speed of Anderson Acceleration, Nesterov Acceleration, and Nonlinear GMRES
We consider nonlinear convergence acceleration methods for fixed-point i...
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06/19/2020
Local Fourier analysis of multigrid for hybridized and embedded discontinuous Galerkin methods
In this paper we present a geometric multigrid method with Jacobi and Va...
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01/03/2020
Tuning Multigrid Methods with Robust Optimization
Local Fourier analysis is a useful tool for predicting and analyzing the...
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08/26/2019
