CM2021: 20TH COPPER MOUNTAIN CONFERENCE ON MULTIGRID METHODS

This page contains an index consisting of author-provided keywords.

(
(block) ILUT smoothers	ILUT smoothers for p-multigrid methods in Isogeometric Analysis
A
a posteriori error estimates	A posteriori error estimates and its application in adaptive algebraic multigrid methods ($\alpha$AMG) for graph Laplacians
adaptive coarse spaces	Adaptive coarse spaces for Schwarz methods based on decompositions of the domain decomposition interface
adaptive domain decomposition	Combining machine learning and adaptive coarse spaces to design robust and efficient FETI-DP methods for elliptic problems in three dimensions
adaptive method	A posteriori error estimates and its application in adaptive algebraic multigrid methods ($\alpha$AMG) for graph Laplacians
Adaptive supervised learning	Learning optimal multigrid smoothers via neural networks
Additive Schwarz methods	Additive Schwarz methods for serendipity elements
Additive Vanka	A local Fourier analysis of low order preconditioners for the Stokes equations
agglomeration multigrid	A Space-Time Multigrid Preconditioner for CFD
aggregative AMG	Aggregative Multiscale AMG: A robust interpolation approach for (plain) aggregative AMG based on ideas of Algebraic Multiscale
algebraic multigrid	Aggregative Multiscale AMG: A robust interpolation approach for (plain) aggregative AMG based on ideas of Algebraic Multiscale CHRONOS: A GENERAL-PURPOSE AMG LINEAR SOLVER An algebraic multigrid method for mortar contact problems in saddle-point formulation Two-Stage Gauss-Seidel with Dropping for GMRES-AMG Solvers Non-invasive multigrid for semi-structured grids Space-time block preconditioning for incompressible flow, and nonsymmetric AMG A Monolithic Algebraic Multigrid Approach for Coupled Multiphysics Problems using the MueLu Framework A new semi-algebraic two-grid method for Oseen problems. Porting an aggregation-based algebraic multigrid method on GPU Communication-avoiding algebraic multigrid for high-performance computing DiffGCN: Graph Convolutional Networks via Differential Operators and Algebraic Multigrid Pooling Algebraic multigrid preconditioner for statically condensed systems arising from lowest-order hybrid discretizations
algebraic multigrid method	A posteriori error estimates and its application in adaptive algebraic multigrid methods ($\alpha$AMG) for graph Laplacians
Algebraic Multigrid methods	Symbol Based Multigrid Methods for Block Structured Matrices
alternative CNN architecture	Multigrid-in-Channels Neural Network Architectures
AMG	New Two-level GPU-Accelerated Incomplete LU Preconditioners in hypre Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems Porting an aggregation-based algebraic multigrid method on GPU
AMG (algebraic multigrid)	Algebraic multigrid using a stencil-CSR matrix format on GPUs
AMG interpolations	Matrix-Matrix based AMG interpolations and the GPU implementations
anisotropic multigrid methods	Anisotropic multigrid preconditioners for space-fractional diffusion equations
Approximate Cholesky Factorization	RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems
augmented block Cimmino	A multigrid-inspired approach for the Augmented Block Cimmino Distributed solver
augmented Lagrangian preconditioner	Augmented Lagrangian preconditioner for anisothermal non-Newtonian flow
B
BDF discretization	Monolithic multigrid methods for implicit Runge-Kutta discretizations of time-dependent PDEs
BDM	Multigrid injection operators for hybridized mixed and discontinuous Galerkin methods
Biharmonic equation	Monolithic Multigrid Methods for Mixed Formulations of the Biharmonic Problem
block preconditioning	Space-time block preconditioning for incompressible flow, and nonsymmetric AMG
block smoothers	Non-overlapping block smoothers for the Stokes equations
Block Toeplitz Matrices	Multigrid Methods for Finite Element Approximations using a Block Symbol Approach
block-Jacobi	Optimization of two-level methods for DG discretizations of reaction-diffusion equations
Boolean Model	Effective material parameters from microstructures constructed using the planar Boolean model
Braess-Sarazin	A local Fourier analysis of low order preconditioners for the Stokes equations
C
Chebyshev iteration	Optimal polynomial smoothers for V-cycle multigrid
Chebyshev smoother	Scalable Chebyshev-Accelerated Schwarz Preconditioning for GPUs
clustering	A Cut-Based Coarsening Algorithm for Smoothed Aggregation
cnn	A Supervised Learning Approach to Predicting Multigrid Convergence
coarse-grid agglomeration	Multigrid Reduction in Time using Coarse-grid Agglomeration, approximate solves and Krylov acceleration
Combinatorial Optimization	Coarse Grid Selection using Simulated Annealing
compact neural networks	Multigrid-in-Channels Neural Network Architectures
computer vision	DiffGCN: Graph Convolutional Networks via Differential Operators and Algebraic Multigrid Pooling
Constrained time-dependent PDEs	Monolithic multigrid methods for implicit Runge-Kutta discretizations of time-dependent PDEs
contact mechanics	An algebraic multigrid method for mortar contact problems in saddle-point formulation
contact problems	A Generalized Multigrid Method for Contact problems in Unfitted Finite Element Methods}
convergence	A Supervised Learning Approach to Predicting Multigrid Convergence
convergence theory	Optimal Relaxation Weights for Multigrid Reduction In Time (MGRIT) An overlapping and asynchronous Parareal-like algorithm A new semi-algebraic two-grid method for Oseen problems.
convolutional network	A Supervised Learning Approach to Predicting Multigrid Convergence
Convolutional Neural Network	Optimization-based Grid Coarsening Using Reinforcement Learning
Convolutional neural networks	Learning optimal multigrid smoothers via neural networks
Coupled PDEs	A new semi-algebraic two-grid method for Oseen problems.
cutting	A Cut-Based Coarsening Algorithm for Smoothed Aggregation
cycle space	A posteriori error estimates and its application in adaptive algebraic multigrid methods ($\alpha$AMG) for graph Laplacians
D
deep learning	Multigrid-in-Channels Neural Network Architectures DiffGCN: Graph Convolutional Networks via Differential Operators and Algebraic Multigrid Pooling
deep neural networks	Layer-Parallel Training, Multilevel Network Initialization, and Local Learning
Deep Q-Learning	Optimization-based Grid Coarsening Using Reinforcement Learning
deep residual networks	Globally Convergent Multilevel Training of Deep Residual Networks
DG	Optimization of two-level methods for DG discretizations of reaction-diffusion equations
Discontinuous Petrov-Galerkin FEM	Scalable minimum-residual multigrid solver for wave propagation
discretized operators	DiffGCN: Graph Convolutional Networks via Differential Operators and Algebraic Multigrid Pooling
distance Laplacain	A Cut-Based Coarsening Algorithm for Smoothed Aggregation
Domain Decomposition	Adaptive coarse spaces for Schwarz methods based on decompositions of the domain decomposition interface Three-level Fast and Robust Overlapping Schwarz (FROSch) preconditioners
domain decomposition methods	FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
E
Elliptic optimal control problems	Multigrid Methods for Elliptic Optimal Control Problems
elliptic partial differential equations	Combining machine learning and adaptive coarse spaces to design robust and efficient FETI-DP methods for elliptic problems in three dimensions
embedding
F
F-fraction	Optimization-based Grid Coarsening Using Reinforcement Learning
fast diagonalization	Improving the fast diagonalization method for non-separable problems with subspace correction
Fast gradient method	Nonnegative Unimodal Matrix Factorization
finite elasticity	Effective material parameters from microstructures constructed using the planar Boolean model
Finite Element Method	Additive Schwarz methods for serendipity elements
Finite Element Methods	Multigrid Methods for Finite Element Approximations using a Block Symbol Approach
finite elements	Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems Complexity Analysis of Matrix-Free Multigrid with Surrogate Polynomials
finite-element method	Robust Preconditioners for a Mimetic Finite-Difference Method for Maxwell's Equations
Firedrake	Additive Schwarz methods for serendipity elements
fractional diffusion equations	Anisotropic multigrid preconditioners for space-fractional diffusion equations
G
GDSW	Adaptive coarse spaces for Schwarz methods based on decompositions of the domain decomposition interface
GDSW coarse spaces	FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
geometric multigrid	Complexity Analysis of Matrix-Free Multigrid with Surrogate Polynomials
geometric multigrid method	Smoothers Based on Nonoverlapping Domain Decomposition Methods for H(curl) problems
geometric multigrid methods	Non-overlapping block smoothers for the Stokes equations
geometrically-informed algebraic multigrid	A geometrically-informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems
global convergence	Globalization of Nonlinear FETI-DP Methods
GPU	Porting an aggregation-based algebraic multigrid method on GPU
GPU (graphical processing units)	Algebraic multigrid using a stencil-CSR matrix format on GPUs
GPU computing	New Two-level GPU-Accelerated Incomplete LU Preconditioners in hypre Matrix-Matrix based AMG interpolations and the GPU implementations
graph convolution networks	Multigrid-in-Channels Neural Network Architectures DiffGCN: Graph Convolutional Networks via Differential Operators and Algebraic Multigrid Pooling
graph Laplacian	A Multilevel Subgraph Preconditioner for Linear Equations in Graph Laplacians RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems A posteriori error estimates and its application in adaptive algebraic multigrid methods ($\alpha$AMG) for graph Laplacians
graph net	A Supervised Learning Approach to Predicting Multigrid Convergence
Graph Neural Network	Optimization-based Grid Coarsening Using Reinforcement Learning
graphical processing units	Porting an aggregation-based algebraic multigrid method on GPU
graphs
H
H(curl)	Smoothers Based on Nonoverlapping Domain Decomposition Methods for H(curl) problems
Helmholtz decomposition	A posteriori error estimates and its application in adaptive algebraic multigrid methods ($\alpha$AMG) for graph Laplacians
Helmholtz equation	Stand-alone multigrid for Helmholtz revisited: towards convergence using standard components
high order	Improving the fast diagonalization method for non-separable problems with subspace correction Optimizing MGRIT and Parareal coarse-grid operators for linear advection
high performance computing	An overlapping and asynchronous Parareal-like algorithm
High-Order Finite Elements	Local Fourier Analysis of P-Multigrid with LFAToolkit.jl
high-order or spectral/hp element	A geometrically-informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems
high-performance computing	Communication-avoiding algebraic multigrid for high-performance computing
Higher Order Finite Elements	p-refined Multilevel Quasi-Monte Carlo with Locally Nested Random Field Evaluation Points Applied to a Geotechnical Engineering Problem
HPC	CHRONOS: A GENERAL-PURPOSE AMG LINEAR SOLVER
hybrid hierarchical grids	Non-invasive multigrid for semi-structured grids
Hybrid method	Algebraic multigrid preconditioner for statically condensed systems arising from lowest-order hybrid discretizations
hybrid methods	A multigrid-inspired approach for the Augmented Block Cimmino Distributed solver
hybridized finite elements	Multigrid injection operators for hybridized mixed and discontinuous Galerkin methods
hyperbolic	Optimizing MGRIT and Parareal coarse-grid operators for linear advection
I
ILU factorization	New Two-level GPU-Accelerated Incomplete LU Preconditioners in hypre
implicit Runge-Kutta	A New Block Preconditioner for Implicit Runge-Kutta Methods for Parabolic PDE Problems Monolithic multigrid methods for implicit Runge-Kutta discretizations of time-dependent PDEs
implicit solvers	A Space-Time Multigrid Preconditioner for CFD
incompressible flow	Space-time block preconditioning for incompressible flow, and nonsymmetric AMG
Indefinite matrix	Stand-alone multigrid for Helmholtz revisited: towards convergence using standard components
independence of placement	Independence of placement for local Fourier analysis
inexact solver on the coarsest level	Multilevel methods with inexact solver on the coarsest level
injection operator	Multigrid injection operators for hybridized mixed and discontinuous Galerkin methods
Interior Penalty	Optimization of two-level methods for DG discretizations of reaction-diffusion equations Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems
Isogeometric Analysis	ILUT smoothers for p-multigrid methods in Isogeometric Analysis
K
Krylov acceleration	Multigrid Reduction in Time using Coarse-grid Agglomeration, approximate solves and Krylov acceleration
Krylov solvers	Two-Stage Gauss-Seidel with Dropping for GMRES-AMG Solvers
Krylov subspace methods	Accelerating Krylov subspace actions of the matrix exponential by multigrid corrections
L
Lagrange multiplier	A Generalized Multigrid Method for Contact problems in Unfitted Finite Element Methods}
lattice and crystal structures	Automated local Fourier analysis (aLFA)
layer-parallel training	Layer-Parallel Training, Multilevel Network Initialization, and Local Learning
LDG	Multigrid injection operators for hybridized mixed and discontinuous Galerkin methods
least-square	Multilevel Preconditioning of the Reaction-Diffusion Problem
linear systems solvers	Algebraic multigrid using a stencil-CSR matrix format on GPUs Porting an aggregation-based algebraic multigrid method on GPU
Local Fourier Analysis	Optimization of two-level methods for DG discretizations of reaction-diffusion equations Automated local Fourier analysis (aLFA) Independence of placement for local Fourier analysis Local Fourier Analysis of P-Multigrid with LFAToolkit.jl A local Fourier analysis of low order preconditioners for the Stokes equations
low-communication algorithms	Communication-avoiding algebraic multigrid for high-performance computing
M
machine learning	Multiscale training for Physics-informed Neural Networks Combining machine learning and adaptive coarse spaces to design robust and efficient FETI-DP methods for elliptic problems in three dimensions A Supervised Learning Approach to Predicting Multigrid Convergence
magnetohydrodynamics	A Monolithic Algebraic Multigrid Approach for Coupled Multiphysics Problems using the MueLu Framework
many-core GPU architectures	Two-Stage Gauss-Seidel with Dropping for GMRES-AMG Solvers
matrix exponential	Accelerating Krylov subspace actions of the matrix exponential by multigrid corrections
matrix-free	Complexity Analysis of Matrix-Free Multigrid with Surrogate Polynomials
Matrix-valued symbol	Symbol Based Multigrid Methods for Block Structured Matrices
Maxwell's equations	Robust Preconditioners for a Mimetic Finite-Difference Method for Maxwell's Equations
mesh stretching	A Cut-Based Coarsening Algorithm for Smoothed Aggregation
MGRIT	Optimizing MGRIT and Parareal coarse-grid operators for linear advection
mimetic finite-difference method	Robust Preconditioners for a Mimetic Finite-Difference Method for Maxwell's Equations
Monolithic multigrid	Monolithic Multigrid Methods for Mixed Formulations of the Biharmonic Problem Monolithic multigrid methods for implicit Runge-Kutta discretizations of time-dependent PDEs A local Fourier analysis of low order preconditioners for the Stokes equations
monolithic Schwarz preconditioners	FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
mortar methods	Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems
Multi-grid method	Nonnegative Unimodal Matrix Factorization
Multi-scale training	Multiscale training for Physics-informed Neural Networks
Multi-step time schemes	Multi-step variant of the parareal algorithm: convergence analysis and numerics
multigrid	A p-Multigrid Accelerated Hybrid Fourier-Chebyshev Collocation Method For Nonlinear Water Waves in Numerical Wave Tanks Optimal Relaxation Weights for Multigrid Reduction In Time (MGRIT) Multigrid injection operators for hybridized mixed and discontinuous Galerkin methods Optimization of two-level methods for DG discretizations of reaction-diffusion equations Multigrid Methods for Elliptic Optimal Control Problems Improving the fast diagonalization method for non-separable problems with subspace correction Optimal polynomial smoothers for V-cycle multigrid Non-invasive multigrid for semi-structured grids Accelerating Krylov subspace actions of the matrix exponential by multigrid corrections Automated local Fourier analysis (aLFA) Stand-alone multigrid for Helmholtz revisited: towards convergence using standard components Layer-Parallel Training, Multilevel Network Initialization, and Local Learning Scalable minimum-residual multigrid solver for wave propagation A multigrid-inspired approach for the Augmented Block Cimmino Distributed solver DiffGCN: Graph Convolutional Networks via Differential Operators and Algebraic Multigrid Pooling Optimization-based Grid Coarsening Using Reinforcement Learning Coarse Grid Selection using Simulated Annealing Additive Schwarz methods for serendipity elements
multigrid in channels	Multigrid-in-Channels Neural Network Architectures
multigrid method	A Generalized Multigrid Method for Contact problems in Unfitted Finite Element Methods} Independence of placement for local Fourier analysis
multigrid preconditioners	A Space-Time Multigrid Preconditioner for CFD
multigrid reduction in time	Multigrid Reduction in Time using Coarse-grid Agglomeration, approximate solves and Krylov acceleration
Multigrid smoothers	Learning optimal multigrid smoothers via neural networks
multigrid-in-time	Optimal Relaxation Weights for Multigrid Reduction In Time (MGRIT)
multilevel	Multilevel Preconditioning of the Reaction-Diffusion Problem
Multilevel Block Toeplitz matrices	Symbol Based Multigrid Methods for Block Structured Matrices
Multilevel methods	New Two-level GPU-Accelerated Incomplete LU Preconditioners in hypre Multilevel methods with inexact solver on the coarsest level
multilevel minimization	Globally Convergent Multilevel Training of Deep Residual Networks
Multilevel Precondtioner	A Multilevel Subgraph Preconditioner for Linear Equations in Graph Laplacians
Multilevel Quasi-Monte Carlo	p-refined Multilevel Quasi-Monte Carlo with Locally Nested Random Field Evaluation Points Applied to a Geotechnical Engineering Problem
multiphysics simulations	FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
multiscale	Adaptive coarse spaces for Schwarz methods based on decompositions of the domain decomposition interface
Multiscale Methods	Aggregative Multiscale AMG: A robust interpolation approach for (plain) aggregative AMG based on ideas of Algebraic Multiscale
N
Nedlec finite element method	Smoothers Based on Nonoverlapping Domain Decomposition Methods for H(curl) problems
neural networks	Combining machine learning and adaptive coarse spaces to design robust and efficient FETI-DP methods for elliptic problems in three dimensions
non-Newtonian	Augmented Lagrangian preconditioner for anisothermal non-Newtonian flow
nonlinear domain decomposition	Globalization of Nonlinear FETI-DP Methods Nonlinear FETI-DP Domain Decomposition Methods - Tailoring the Nonlinear Elimination Set
nonlinear elimination	Nonlinear FETI-DP Domain Decomposition Methods - Tailoring the Nonlinear Elimination Set
nonlinear FETI-DP	Globalization of Nonlinear FETI-DP Methods Nonlinear FETI-DP Domain Decomposition Methods - Tailoring the Nonlinear Elimination Set
nonlinear problems	Globalization of Nonlinear FETI-DP Methods
nonlinear right preconditioning	Nonlinear FETI-DP Domain Decomposition Methods - Tailoring the Nonlinear Elimination Set
nonlinear waves	A p-Multigrid Accelerated Hybrid Fourier-Chebyshev Collocation Method For Nonlinear Water Waves in Numerical Wave Tanks
Nonnegative Matrix Factorization	Nonnegative Unimodal Matrix Factorization
nonoverlapping domain decomposition	Smoothers Based on Nonoverlapping Domain Decomposition Methods for H(curl) problems
nonsymmetric	Space-time block preconditioning for incompressible flow, and nonsymmetric AMG
numerical homogenization	Effective material parameters from microstructures constructed using the planar Boolean model
numerical solution of PDEs	Multilevel methods with inexact solver on the coarsest level
O
Oberbeck-Boussinesq	Augmented Lagrangian preconditioner for anisothermal non-Newtonian flow
Optimization	Optimization of two-level methods for DG discretizations of reaction-diffusion equations Optimization-based Grid Coarsening Using Reinforcement Learning
optimized Schwarz	Improving the fast diagonalization method for non-separable problems with subspace correction
Oseen problems	A new semi-algebraic two-grid method for Oseen problems.
overlapping Schwarz	Adaptive coarse spaces for Schwarz methods based on decompositions of the domain decomposition interface
P
p-coarsening	A geometrically-informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems
p-multigrid	Scalable Chebyshev-Accelerated Schwarz Preconditioning for GPUs Local Fourier Analysis of P-Multigrid with LFAToolkit.jl
p-multigrid methods	ILUT smoothers for p-multigrid methods in Isogeometric Analysis
p-refinement	p-refined Multilevel Quasi-Monte Carlo with Locally Nested Random Field Evaluation Points Applied to a Geotechnical Engineering Problem
parabolic equations	Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time
parabolic PDEs	A New Block Preconditioner for Implicit Runge-Kutta Methods for Parabolic PDE Problems
parallel computing	CHRONOS: A GENERAL-PURPOSE AMG LINEAR SOLVER FROSch Preconditioners for Land Ice Simulations of Greenland and Antarctica
parallel-in-time	Optimal Relaxation Weights for Multigrid Reduction In Time (MGRIT) Optimizing MGRIT and Parareal coarse-grid operators for linear advection Space-time block preconditioning for incompressible flow, and nonsymmetric AMG An overlapping and asynchronous Parareal-like algorithm Layer-Parallel Training, Multilevel Network Initialization, and Local Learning Multigrid Reduction in Time using Coarse-grid Agglomeration, approximate solves and Krylov acceleration
Parareal	Optimizing MGRIT and Parareal coarse-grid operators for linear advection
Parareal in time algorithm	Multi-step variant of the parareal algorithm: convergence analysis and numerics
parareal-like algorithm	An overlapping and asynchronous Parareal-like algorithm
Partial Differential Equations	Additive Schwarz methods for serendipity elements
PDE	A multigrid-inspired approach for the Augmented Block Cimmino Distributed solver
PDE-constrained optimization	Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time
Physics-informed Neural Networks	Multiscale training for Physics-informed Neural Networks
Poisson equation	Multigrid injection operators for hybridized mixed and discontinuous Galerkin methods Scalable Chebyshev-Accelerated Schwarz Preconditioning for GPUs
polynomial smoothers	Optimal polynomial smoothers for V-cycle multigrid
Preconditioner	Three-level Fast and Robust Overlapping Schwarz (FROSch) preconditioners
preconditioners	Scalable Chebyshev-Accelerated Schwarz Preconditioning for GPUs Monolithic multigrid methods for implicit Runge-Kutta discretizations of time-dependent PDEs
preconditioning	CHRONOS: A GENERAL-PURPOSE AMG LINEAR SOLVER New Two-level GPU-Accelerated Incomplete LU Preconditioners in hypre A Monolithic Algebraic Multigrid Approach for Coupled Multiphysics Problems using the MueLu Framework Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems A geometrically-informed algebraic multigrid preconditioned iterative approach for solving high-order finite element systems Multilevel Preconditioning of the Reaction-Diffusion Problem Anisotropic multigrid preconditioners for space-fractional diffusion equations A New Block Preconditioner for Implicit Runge-Kutta Methods for Parabolic PDE Problems
R
Random Sampling	RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems
random set	Effective material parameters from microstructures constructed using the planar Boolean model
Randomized Linear Solver	RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems
Raviart-Thomas	Multigrid injection operators for hybridized mixed and discontinuous Galerkin methods
reduced dimension	Adaptive coarse spaces for Schwarz methods based on decompositions of the domain decomposition interface
Reinforcement Learning	Optimization-based Grid Coarsening Using Reinforcement Learning
relaxation weight	A Supervised Learning Approach to Predicting Multigrid Convergence
representative volume element	Effective material parameters from microstructures constructed using the planar Boolean model
robust subspace decomposition	Augmented Lagrangian preconditioner for anisothermal non-Newtonian flow
row-projection techniques	A multigrid-inspired approach for the Augmented Block Cimmino Distributed solver
S
saddle point formulation	Multilevel Preconditioning of the Reaction-Diffusion Problem
saddle point problems	Multigrid Methods for Elliptic Optimal Control Problems
saddle point system	An algebraic multigrid method for mortar contact problems in saddle-point formulation
Schur complement	A multigrid-inspired approach for the Augmented Block Cimmino Distributed solver
Schwarz	Scalable Chebyshev-Accelerated Schwarz Preconditioning for GPUs
Scientific Computing	Three-level Fast and Robust Overlapping Schwarz (FROSch) preconditioners
semi-structured	Non-invasive multigrid for semi-structured grids
Serendipity elements	Additive Schwarz methods for serendipity elements
Shared-memory Parallelism	RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems
Simulated Annealing	Coarse Grid Selection using Simulated Annealing
smoothed aggregation	A Cut-Based Coarsening Algorithm for Smoothed Aggregation
space-time DG	A Space-Time Multigrid Preconditioner for CFD
space-time finite element methods	Optimal order multigrid preconditioners for the distributed control of parabolic equations with coarsening in space and time
Spanning Subgraphs	A Multilevel Subgraph Preconditioner for Linear Equations in Graph Laplacians
Sparse Matrix	RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems
sparse matrix-matrix multiplications	Matrix-Matrix based AMG interpolations and the GPU implementations
spectral	A p-Multigrid Accelerated Hybrid Fourier-Chebyshev Collocation Method For Nonlinear Water Waves in Numerical Wave Tanks
Spectral Analysis	Symbol Based Multigrid Methods for Block Structured Matrices
spectral distribution	Anisotropic multigrid preconditioners for space-fractional diffusion equations
Spectral Symbol	Multigrid Methods for Finite Element Approximations using a Block Symbol Approach
staggered grids	Non-overlapping block smoothers for the Stokes equations
Static condensation	Condensed Nonconforming Reformulations for Preconditioning Finite Element Discretization Problems Algebraic multigrid preconditioner for statically condensed systems arising from lowest-order hybrid discretizations
Stokes Equations	Non-overlapping block smoothers for the Stokes equations A local Fourier analysis of low order preconditioners for the Stokes equations
strength-of-connection	A Cut-Based Coarsening Algorithm for Smoothed Aggregation
structure-preserving block preconditioners	Robust Preconditioners for a Mimetic Finite-Difference Method for Maxwell's Equations
supervised learning	A Supervised Learning Approach to Predicting Multigrid Convergence
surrogate method	Complexity Analysis of Matrix-Free Multigrid with Surrogate Polynomials
Symbol-based Multigrid methods	Multigrid Methods for Finite Element Approximations using a Block Symbol Approach
Symmetric Diagonally-dominant Matrix	RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems
T
Time parallel integration	Multi-step variant of the parareal algorithm: convergence analysis and numerics
Toeplitz-like matrices	Anisotropic multigrid preconditioners for space-fractional diffusion equations
trust-region method	Globally Convergent Multilevel Training of Deep Residual Networks
Two-level	Optimization of two-level methods for DG discretizations of reaction-diffusion equations
Two-stage iterations	Two-Stage Gauss-Seidel with Dropping for GMRES-AMG Solvers
U
Uncertainty Quantification	p-refined Multilevel Quasi-Monte Carlo with Locally Nested Random Field Evaluation Points Applied to a Geotechnical Engineering Problem
unfitted discretization method	A Generalized Multigrid Method for Contact problems in Unfitted Finite Element Methods}
unified analysis	Multigrid injection operators for hybridized mixed and discontinuous Galerkin methods
Unimodality	Nonnegative Unimodal Matrix Factorization
unitary transformation	Independence of placement for local Fourier analysis
V
V-cycle	Optimal polynomial smoothers for V-cycle multigrid
Vanka relaxation	Monolithic Multigrid Methods for Mixed Formulations of the Biharmonic Problem
variational inequalities	Multigrid Methods for Elliptic Optimal Control Problems
W
Wave propagation	Scalable minimum-residual multigrid solver for wave propagation

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