CM2019: 19TH COPPER MOUNTAIN CONFERENCE ON MULTIGRID METHODS

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

A
Adaptive AMG	An Adaptive AMG preconditioner for ill-conditioned structural problems
Adaptive cross approximation	A blocked adaptive cross approximation algorithm and its hierarchical generalization
Adaptive Mesh Refinement	adaFACx - smoothed restriction to damp additive multigrid
Adaptive refinement	Adaptive FEM for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver
Adaptive Space-Time Mesh Refinement	Space-time adaptivity with multigrid reduction in time for the compressible Navier-Stokes equations
adaptivity	Space-Time Finite Element Solvers of Parabolic Evolution Problems with Non-smooth Solutions
Additive	adaFACx - smoothed restriction to damp additive multigrid
Additive multigrid	Highly Parallel Additive Multigrid with Scaled Correction
AI/Cognitive Algorithms	Algorithm Exploitation & Evolving AI/Cognitive Examples on IBM’s Data Centric Systems
Algebraic Multigrid	A scalable multigrid reduction framework for coupled multiphase poromechanics Algebraic Multgirid: theory and practice Multigrid for Bundle Adjustment Improving Scalability of Algebraic Multigrid by a Specialized MATVEC and Divide and Conquer MatMat Product Multi-step Node-Aware Communication in Parallel AMG The Analysis of SA-AMG Method by Applying Hybrid MPI/OpenMP Parallelization on Cluster Supercomputer System Hyperbolic PDEs and Parallel-In-Time: A Revival in Reduction Methods Algebraic Multigrid for Systems of Elliptic Boundary-Value Problems Preconditioning Li-Ion Battery Models with Algebraic Multigrid in FEniCS
Algebraic multigrid method	A fully coupled, scalable eigenvalue solver with a subspace coarsening AMG preconditioner for neutron transport equations
Algebraic multigrid methods	On Scalable Block Preconditiooners for Implicit / IMEX FE Continuum Plasma Physics Models
Algebraic mulyigrid	An implicit approach to phase field modeling of solidification for additively manufactured metals
AMG	Fast distributed triple-matrix multiplication on GPUs in AMG setup Automatic Construction of AMG Smoothers
Anderson acceleration	A Fully Implicit Kinetic Electromagenetic Model for Magnetically Confined Fusion Plasma Simulations
Anisotropic Problems	Enhanced Multi-Index Monte Carlo by means of Multiple Semi-Coarsened Multigrid for Anisotropic Diffusion Problems
Arnoldi	revisiting Householder orthogonalization scheme for iterative methods
Artificial Intelligence and Machine Learning	Algorithm Exploitation & Evolving AI/Cognitive Examples on IBM’s Data Centric Systems
Asymptotic-preserving scheme	An asymptotic preserving multilevel Monte Carlo method for particle based simulation of kinetic equations
Asynchronous iterations	An efficient asynchronous incomplete LU iteration for convection-diffusion problems on structured grids
asynchrony	Optimizing communication of Krylov subspace methods using blocking and pipelining techniques
augmented Lagrangian	A Reynolds-robust augmented Lagrangian preconditioner for the 3D stationary Navier-Stokes
automatic program optimization	Towards the automatic optimization of geometric multigrid methods with evolutionary computation
B
Bayesian computation	Advanced Multi-Level Sampling Methods for Large-Scale Bayesian Inverse Problems
bayesian inference	A hierarchical multilevel Markov chain Monte Carlo approach for large-scale Bayesian inference
Block GMRES	revisiting Householder orthogonalization scheme for iterative methods
Block Krylov subspace	Optimizing communication of Krylov subspace methods using blocking and pipelining techniques
block preconditioners	On Scalable Block Preconditiooners for Implicit / IMEX FE Continuum Plasma Physics Models Robust solvers for a stabilized discretization of the poroelastic equations
block preconditioning	p-Multigrid Block Reduction Preconditioning for an All-Speed High-Order Compressible Flow Solver
Block Solvers	Preconditioning Li-Ion Battery Models with Algebraic Multigrid in FEniCS
bootstrap AMG	Algebraic Multgirid: theory and practice
BoxMG	adaFACx - smoothed restriction to damp additive multigrid
Braess-Sarazin relaxation	Braess-Sarazin relaxation for H(div) and H(curl)
bundle adjustment	Multigrid for Bundle Adjustment
burgulence	Multilevel Monte Carlo methods for statistical solutions of hyperbolic conservation laws
C
C++	Optimizing communication of Krylov subspace methods using blocking and pipelining techniques
CFD	Application of Algebraic Multigrid Preconditoned Block Solvers in a Validation Study of Simulating Human Heart Function
Coarse Grid Aggregation	Parallel Multigrid with Adaptive Multilevel hCGA on Manycore Clusters
code generation	Towards the automatic optimization of geometric multigrid methods with evolutionary computation
coherent diffraction imaging	Multigrid Optimization for Large-Scale Ptychographic Phase Retrieval
Communication	Optimizing communication of Krylov subspace methods using blocking and pipelining techniques
Communication Reduction	Automating Communication Aggregation in Robust Structured Multigrid
Compatible finite element method	Towards a parareal coarse propagator for numerical weather prediction.
Compressible Fluids	Space-time adaptivity with multigrid reduction in time for the compressible Navier-Stokes equations
Compression	Improving Scalability of Algebraic Multigrid by a Specialized MATVEC and Divide and Conquer MatMat Product
Convection-diffusion	An efficient asynchronous incomplete LU iteration for convection-diffusion problems on structured grids
convection-diffusion equation	A Multilevel Approach for Trace System in HDG Discretizations
convective-diffusive problem	A Multiscale Finite Element Method with Locally Adaptive Bubble Function Enrichment
Convergence proof	Highly Parallel Additive Multigrid with Scaled Correction
Convergence proofs	Rounding error analysis for mixed precision multigrid solvers
convergence theory	Hyperbolic PDEs and Parallel-In-Time: A Revival in Reduction Methods
correlation-based nodal measure	Algebraic Multigrid for Systems of Elliptic Boundary-Value Problems
coupled PDEs	Efficient solution of transient non-linear flow problems in the subsurface
Coupled physics problem	On Scalable Block Preconditiooners for Implicit / IMEX FE Continuum Plasma Physics Models
Curvilinear Cut-Cells	High-Order Fully-Implicit Sharp-Interface Algorithm for Multi-fluid Contacts
D
Data Centric Architecture	Algorithm Exploitation & Evolving AI/Cognitive Examples on IBM’s Data Centric Systems
deep learning	Layer-Parallel Training of Deep Residual Neural Networks
definite Maxwell equations	Automatic Construction of AMG Smoothers
DG	Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics
Diagonalization	Time Parallelization for the Heat Equation Based on Diagonalization
Diffusion Equation with Random Coefficients	Learning Prolongation for Diffusion Problems with Random Coefficients
Direct method	Time Parallelization for the Heat Equation Based on Diagonalization
Discontinuous Galerkin	High-Order Fully-Implicit Sharp-Interface Algorithm for Multi-fluid Contacts Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics Matrix-free multigrid block-smoothers for higher-order DG discretisations
discontinuous Galerkin methods	Efficient operator-coarsening multigrid schemes for local discontinuous Galerkin methods
Discretization accuracy	A Discretization-Accurate Stopping Criterion for Iterative Solvers on Finite Element Approximation
distributive relaxation	Automatic Construction of AMG Smoothers
domain decomposition	Parallel performance of algebraic multigrid with domain decomposition
DUNE	Optimizing communication of Krylov subspace methods using blocking and pipelining techniques Matrix-free multigrid block-smoothers for higher-order DG discretisations
E
eddy currents	Parallel-in-time methods for eddy current problems
eigensolvers	Multilevel (quasi-)Monte Carlo methods for a random elliptic eigenvalue problem
Eigenvalue problem	Modelling Musical Instruments
Eigenvalue solver	A fully coupled, scalable eigenvalue solver with a subspace coarsening AMG preconditioner for neutron transport equations
Elasticity	Application of Algebraic Multigrid Preconditoned Block Solvers in a Validation Study of Simulating Human Heart Function Nitsche's Method for Abstract Variational Constrained Minimization, with Applications to Plates and Shells.
elliptic interface problems	Efficient operator-coarsening multigrid schemes for local discontinuous Galerkin methods
error analysis	Error Analysis of Inline ZFP Compression for Multigrid Methods
Error estimation	A Discretization-Accurate Stopping Criterion for Iterative Solvers on Finite Element Approximation
evolution strategy	Towards the automatic optimization of geometric multigrid methods with evolutionary computation
Exascale	Optimizing communication of Krylov subspace methods using blocking and pipelining techniques
F
Fenics	Preconditioning Li-Ion Battery Models with Algebraic Multigrid in FEniCS
Fine-grain parallelism	An efficient asynchronous incomplete LU iteration for convection-diffusion problems on structured grids
finite element methods	Space-Time Finite Element Solvers of Parabolic Evolution Problems with Non-smooth Solutions
Finite Volume	Space-time adaptivity with multigrid reduction in time for the compressible Navier-Stokes equations
Finite volume discretization	Nonlinear multigrid solvers for finite volume discretization of subsurface flow
finite volume methods	Multilevel Monte Carlo methods for statistical solutions of hyperbolic conservation laws
Firedrake	Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics
fluid dynamics	p-Multigrid Block Reduction Preconditioning for an All-Speed High-Order Compressible Flow Solver
Fourier analysis	On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection
Fractional Laplacian	Adaptive FEM for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver
fractured porous media	A monolithic mixed-dimensional multigrid method for single-phase flow in fractured porous media
Full Approximation Scheme	Multilevel Methods for Neural Networks Performance of the Scheduled Relaxation Jacobi method in a geometric multilevel setting Nonlinear multigrid solvers for finite volume discretization of subsurface flow
Fully-Implicit	High-Order Fully-Implicit Sharp-Interface Algorithm for Multi-fluid Contacts
G
Gaussian Quadrature	Computation of Gaussian quadrature rules using a multi-level Parareal-like parallel approach applied to the Stieltjes procedure
genetic programming	Towards the automatic optimization of geometric multigrid methods with evolutionary computation
Geometric Multigrid	Modelling Musical Instruments Adaptive, Parallel, Matrix-free Geometric Multigrid for Stokes Equations with Large Viscosity Contrast Performance of the Scheduled Relaxation Jacobi method in a geometric multilevel setting Towards the automatic optimization of geometric multigrid methods with evolutionary computation
geophysics	Matrix-Free Multigrid on Hierarchical Hybrid Grids
GMRES	revisiting Householder orthogonalization scheme for iterative methods
GPU computing	Fast distributed triple-matrix multiplication on GPUs in AMG setup
GPU-tuned GMRES	Fast and backward stable parallel MGS-GMRES
graph coarsening	Engineering multilevel support vector machines
H
HDG	Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics
Helmholtz problem	A Multiscale Finite Element Method with Locally Adaptive Bubble Function Enrichment
hierarchical hybrid grids	Matrix-Free Multigrid on Hierarchical Hybrid Grids
Hierarchical Method	Parallel Multigrid with Adaptive Multilevel hCGA on Manycore Clusters
High Performance Computing	Algorithm Exploitation & Evolving AI/Cognitive Examples on IBM’s Data Centric Systems
high-order	p-Multigrid Block Reduction Preconditioning for an All-Speed High-Order Compressible Flow Solver
high-performance computing	A Reynolds-robust augmented Lagrangian preconditioner for the 3D stationary Navier-Stokes
Highly parallel	Highly Parallel Additive Multigrid with Scaled Correction
Hiptmair relaxation	Braess-Sarazin relaxation for H(div) and H(curl)
HOLO	High-Order Low-Order Nonlinear Convergence Accelerator for the Rosenbluth-Fokker-Planck Collision Operator and Applications to Multiscale Problems in Inertial Confinement Fusion (ICF)
HOLO algorithm	Application of Multigrid Preconditioning for Lagrangian Radiation-Hydrodynamics
Householder reflections	revisiting Householder orthogonalization scheme for iterative methods
HPC	A Multigrid Method Tailored to Semi-structured Grids
HTMG	adaFACx - smoothed restriction to damp additive multigrid
hybrid algorithm	Structured grid approach to accelerate multigrid on NGP
Hybrid MPI/OpenMP parallelization	The Analysis of SA-AMG Method by Applying Hybrid MPI/OpenMP Parallelization on Cluster Supercomputer System
Hybridised	Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics
Hybridized discontinuous Galerkin methods	A Multilevel Approach for Trace System in HDG Discretizations
hyperbolic	Hyperbolic PDEs and Parallel-In-Time: A Revival in Reduction Methods Convergence analysis for parallel-in-time solution of hyperbolic systems On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection
I
IMEX	Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics
Implicit	A Fully Implicit Kinetic Electromagenetic Model for Magnetically Confined Fusion Plasma Simulations
Implicit hybrid algorithm	Moment-based multilevel preconditioning for an implicit, conservative, hybrid particle-kinetic-ion fluid-electron algorithm
implicitly defined meshes	Efficient operator-coarsening multigrid schemes for local discontinuous Galerkin methods
Incomplete LU factorization	An efficient asynchronous incomplete LU iteration for convection-diffusion problems on structured grids
intra/intra-variable interpolation	Algebraic Multigrid for Systems of Elliptic Boundary-Value Problems
inverse problems	Advanced Multi-Level Sampling Methods for Large-Scale Bayesian Inverse Problems Multigrid Optimization for Large-Scale Ptychographic Phase Retrieval
irregular	Multigrid for Bundle Adjustment
Isogeometric Analysis	Nitsche's Method for Abstract Variational Constrained Minimization, with Applications to Plates and Shells. p-multigrid based solvers for Isogeometric Analysis
Iterative multi-level method	Computation of Gaussian quadrature rules using a multi-level Parareal-like parallel approach applied to the Stieltjes procedure
iterative solver	A fast high order algorithm for multiple scattering from extremely large three dimensional configurations
Iterative solvers	A Multilevel Approach for Trace System in HDG Discretizations
J
Jacobi Method	Performance of the Scheduled Relaxation Jacobi method in a geometric multilevel setting
Jacobian-free Newton-Krylov methods	An implicit approach to phase field modeling of solidification for additively manufactured metals
K
kernels	A Multigrid Method Tailored to Semi-structured Grids
Kinetic equations	An asymptotic preserving multilevel Monte Carlo method for particle based simulation of kinetic equations
Kirchhoff-Love Plates and Shells	Nitsche's Method for Abstract Variational Constrained Minimization, with Applications to Plates and Shells.
kokkos	Structured grid approach to accelerate multigrid on NGP
kokkos-kernels	Structured grid approach to accelerate multigrid on NGP
L
Level Set	High-Order Fully-Implicit Sharp-Interface Algorithm for Multi-fluid Contacts
Li-ion Batteries	Preconditioning Li-Ion Battery Models with Algebraic Multigrid in FEniCS
linear solver	Hyperbolic PDEs and Parallel-In-Time: A Revival in Reduction Methods Multigrid Reduction in Time preconditioning for parallel-in-time Krylov solver
Linear Systems	Improving Scalability of Algebraic Multigrid by a Specialized MATVEC and Divide and Conquer MatMat Product
Local Fourier analysis	Highly Parallel Additive Multigrid with Scaled Correction Local Fourier Analysis and Robust Optimization Towards the automatic optimization of geometric multigrid methods with evolutionary computation
low-communication	Parallel performance of algebraic multigrid with domain decomposition
low-regularity solutions	Space-Time Finite Element Solvers of Parabolic Evolution Problems with Non-smooth Solutions
low-synchronization GMRES	Fast and backward stable parallel MGS-GMRES
M
machine learning	Engineering multilevel support vector machines Multilevel Methods for Neural Networks Learning Prolongation for Diffusion Problems with Random Coefficients
magnetohydrodynamics	Monolithic Multigrid for a Mixed-Method B-Field Finite-Element Formulation for Incompressible, Resistive Magnetohydrodynamics
Manycore Clusters	Parallel Multigrid with Adaptive Multilevel hCGA on Manycore Clusters
Matrix-free Finite Element computations	Adaptive, Parallel, Matrix-free Geometric Multigrid for Stokes Equations with Large Viscosity Contrast
matrix-free iterative methods	Matrix-Free Multigrid on Hierarchical Hybrid Grids
matrix-free methods	Matrix-free multigrid block-smoothers for higher-order DG discretisations
matvec	Improving Scalability of Algebraic Multigrid by a Specialized MATVEC and Divide and Conquer MatMat Product
MG/OPT	MG/OPT and multilevel Monte Carlo for robust PDE constrained optimization
MGRIT	Three Multigrid Interpretations of the Parareal Algorithm Convergence analysis for parallel-in-time solution of hyperbolic systems On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection
Minimax problem	Local Fourier Analysis and Robust Optimization
mixed finite elements	Monolithic Multigrid for a Mixed-Method B-Field Finite-Element Formulation for Incompressible, Resistive Magnetohydrodynamics
Mixed precision arithmetic	Rounding error analysis for mixed precision multigrid solvers
mixed-dimensional multigrid components	A monolithic mixed-dimensional multigrid method for single-phase flow in fractured porous media
mode analysis	Convergence analysis for parallel-in-time solution of hyperbolic systems
modified Gram-Schmidt	Fast and backward stable parallel MGS-GMRES
moment-based acceleration	Application of Multigrid Preconditioning for Lagrangian Radiation-Hydrodynamics
monolithic multigrid	Monolithic Multigrid for a Mixed-Method B-Field Finite-Element Formulation for Incompressible, Resistive Magnetohydrodynamics Robust solvers for a stabilized discretization of the poroelastic equations
monolithic multigrid method	A monolithic mixed-dimensional multigrid method for single-phase flow in fractured porous media
Monte Carlo	Multilevel Monte Carlo methods for statistical solutions of hyperbolic conservation laws
muelu	Structured grid approach to accelerate multigrid on NGP
Multi-Index Monte Carlo	Enhanced Multi-Index Monte Carlo by means of Multiple Semi-Coarsened Multigrid for Anisotropic Diffusion Problems
multi-level algorithms	A blocked adaptive cross approximation algorithm and its hierarchical generalization
multigrid	Toward interoperability support between scalable linear solver libraries in hypre Three Multigrid Interpretations of the Parareal Algorithm Learning Prolongation for Diffusion Problems with Random Coefficients Can we do better? Using machine learning to optimize multigrid methods A Parallel-in-Time Multigrid Preconditioner for KKT System Arising in Full Space Optimization Layer-Parallel Training of Deep Residual Neural Networks Matrix-free multigrid block-smoothers for higher-order DG discretisations A Multiscale Finite Element Method with Locally Adaptive Bubble Function Enrichment Error Analysis of Inline ZFP Compression for Multigrid Methods On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection
Multigrid for H(div) and H(curl)	Braess-Sarazin relaxation for H(div) and H(curl)
multigrid methods	Efficient operator-coarsening multigrid schemes for local discontinuous Galerkin methods
multigrid optimization	Multigrid Optimization for Large-Scale Ptychographic Phase Retrieval
multigrid preconditioning	Multigrid Reduction in Time preconditioning for parallel-in-time Krylov solver
Multigrid reduction	A scalable multigrid reduction framework for coupled multiphase poromechanics
Multigrid Reduction in Time	Analysis of an overlapping variant of parareal Parallel-in-time methods for eddy current problems Space-time adaptivity with multigrid reduction in time for the compressible Navier-Stokes equations
multigrid-reduction-in-time (MGRIT)	Multilevel convergence theory for multigrid-reduction-in-time (MGRIT)
multilevel convergence theory	Multilevel convergence theory for multigrid-reduction-in-time (MGRIT)
multilevel Markov chain Monte Carlo	Advanced Multi-Level Sampling Methods for Large-Scale Bayesian Inverse Problems
multilevel methods	Multilevel Methods for Neural Networks
Multilevel Monte Carlo	Multilevel (quasi-)Monte Carlo methods for a random elliptic eigenvalue problem Multilevel Monte Carlo methods for statistical solutions of hyperbolic conservation laws An asymptotic preserving multilevel Monte Carlo method for particle based simulation of kinetic equations MG/OPT and multilevel Monte Carlo for robust PDE constrained optimization Enhanced Multi-Index Monte Carlo by means of Multiple Semi-Coarsened Multigrid for Anisotropic Diffusion Problems
Multilevel preconditioning	Moment-based multilevel preconditioning for an implicit, conservative, hybrid particle-kinetic-ion fluid-electron algorithm
Multilevel Solvers	Performance of the Scheduled Relaxation Jacobi method in a geometric multilevel setting A Multilevel Approach for Trace System in HDG Discretizations
Multimodel algorithm	Moment-based multilevel preconditioning for an implicit, conservative, hybrid particle-kinetic-ion fluid-electron algorithm
Multipatch geometries	p-multigrid based solvers for Isogeometric Analysis
Multiphase flow	A scalable multigrid reduction framework for coupled multiphase poromechanics
Multiphase Flows	High-Order Fully-Implicit Sharp-Interface Algorithm for Multi-fluid Contacts
multiple scattering	A fast high order algorithm for multiple scattering from extremely large three dimensional configurations
Multiple Semi-Coarsening Multigrid	Enhanced Multi-Index Monte Carlo by means of Multiple Semi-Coarsened Multigrid for Anisotropic Diffusion Problems
multiscale	Application of Algebraic Multigrid Preconditoned Block Solvers in a Validation Study of Simulating Human Heart Function High-Order Low-Order Nonlinear Convergence Accelerator for the Rosenbluth-Fokker-Planck Collision Operator and Applications to Multiscale Problems in Inertial Confinement Fusion (ICF)
multiscale finite element	A Multiscale Finite Element Method with Locally Adaptive Bubble Function Enrichment
N
Navier--Stokes	A Reynolds-robust augmented Lagrangian preconditioner for the 3D stationary Navier-Stokes
nearly singular problems	PCPATCH - A new preconditioner in PETSc to express subspace correction methods
Nested dissection	A Multilevel Approach for Trace System in HDG Discretizations
Neural Networks	Multilevel Methods for Neural Networks Learning Prolongation for Diffusion Problems with Random Coefficients
neutron transport equations	A fully coupled, scalable eigenvalue solver with a subspace coarsening AMG preconditioner for neutron transport equations
Newton method	A fully coupled, scalable eigenvalue solver with a subspace coarsening AMG preconditioner for neutron transport equations
Newton-Krylov	High-Order Fully-Implicit Sharp-Interface Algorithm for Multi-fluid Contacts p-Multigrid Block Reduction Preconditioning for an All-Speed High-Order Compressible Flow Solver
Nitsche's Method	Nitsche's Method for Abstract Variational Constrained Minimization, with Applications to Plates and Shells.
Node-Aware Communication	Multi-step Node-Aware Communication in Parallel AMG
Non-local equations	Adaptive FEM for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver
nonlinear integral	High-Order Low-Order Nonlinear Convergence Accelerator for the Rosenbluth-Fokker-Planck Collision Operator and Applications to Multiscale Problems in Inertial Confinement Fusion (ICF)
Nonlinear multigrid	Nonlinear multigrid solvers for finite volume discretization of subsurface flow
NWP	Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics
Nédélec elements	Automatic Construction of AMG Smoothers
O
optimal interpolation	Algebraic Multgirid: theory and practice
Optimization algorithm	Local Fourier Analysis and Robust Optimization
Orthogonalization	revisiting Householder orthogonalization scheme for iterative methods
Overlapping domain decomposition in time	Analysis of an overlapping variant of parareal
overlapping Schwarz smoother	Automatic Construction of AMG Smoothers
P
p-multigrid methods	p-multigrid based solvers for Isogeometric Analysis
parabolic initial-boundary-value problems	Space-Time Finite Element Solvers of Parabolic Evolution Problems with Non-smooth Solutions
Parallel Communication	Multi-step Node-Aware Communication in Parallel AMG
Parallel computing	Adaptive, Parallel, Matrix-free Geometric Multigrid for Stokes Equations with Large Viscosity Contrast An Adaptive AMG preconditioner for ill-conditioned structural problems Efficient solution of transient non-linear flow problems in the subsurface
parallel GMRES	Fast and backward stable parallel MGS-GMRES
Parallel in time	Time Parallelization for the Heat Equation Based on Diagonalization
Parallel Multigrid	Matrix-Free Multigrid on Hierarchical Hybrid Grids Parallel Multigrid with Adaptive Multilevel hCGA on Manycore Clusters
parallel performance	Parallel performance of algebraic multigrid with domain decomposition
parallel processing	A fully coupled, scalable eigenvalue solver with a subspace coarsening AMG preconditioner for neutron transport equations
Parallel Solvers	Automating Communication Aggregation in Robust Structured Multigrid
parallel-in-time	Hyperbolic PDEs and Parallel-In-Time: A Revival in Reduction Methods A Parallel-in-Time Multigrid Preconditioner for KKT System Arising in Full Space Optimization Parallel-in-time methods for eddy current problems Convergence analysis for parallel-in-time solution of hyperbolic systems Layer-Parallel Training of Deep Residual Neural Networks Multigrid Reduction in Time preconditioning for parallel-in-time Krylov solver On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection Multilevel convergence theory for multigrid-reduction-in-time (MGRIT)
parallelization	Space-Time Finite Element Solvers of Parabolic Evolution Problems with Non-smooth Solutions
parameter-robust preconditioning	A Reynolds-robust augmented Lagrangian preconditioner for the 3D stationary Navier-Stokes
Parareal	Towards a parareal coarse propagator for numerical weather prediction. Three Multigrid Interpretations of the Parareal Algorithm Analysis of an overlapping variant of parareal Parallel-in-time methods for eddy current problems Computation of Gaussian quadrature rules using a multi-level Parareal-like parallel approach applied to the Stieltjes procedure Convergence analysis for parallel-in-time solution of hyperbolic systems On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection
Particle-in-cell	A Fully Implicit Kinetic Electromagenetic Model for Magnetically Confined Fusion Plasma Simulations Moment-based multilevel preconditioning for an implicit, conservative, hybrid particle-kinetic-ion fluid-electron algorithm
PDE-Constrained Optimization	A Parallel-in-Time Multigrid Preconditioner for KKT System Arising in Full Space Optimization
performance	Matrix-free multigrid block-smoothers for higher-order DG discretisations
performance portability	Structured grid approach to accelerate multigrid on NGP
PETSc	Preconditioning Li-Ion Battery Models with Algebraic Multigrid in FEniCS
phase retrieval	Multigrid Optimization for Large-Scale Ptychographic Phase Retrieval
Physics-based preconditioning	An implicit approach to phase field modeling of solidification for additively manufactured metals
Picard iteration	A Fully Implicit Kinetic Electromagenetic Model for Magnetically Confined Fusion Plasma Simulations
pipelining	Optimizing communication of Krylov subspace methods using blocking and pipelining techniques
Plasma	A Fully Implicit Kinetic Electromagenetic Model for Magnetically Confined Fusion Plasma Simulations
Poroelasticity	Robust solvers for a stabilized discretization of the poroelastic equations
Poromechanics	A scalable multigrid reduction framework for coupled multiphase poromechanics
porous media	Efficient solution of transient non-linear flow problems in the subsurface
porous media flow problem	A Multiscale Finite Element Method with Locally Adaptive Bubble Function Enrichment
preconditioned Krylov solver	Multigrid Reduction in Time preconditioning for parallel-in-time Krylov solver
preconditioners	Can we do better? Using machine learning to optimize multigrid methods
Preconditioning	Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics Preconditioning Li-Ion Battery Models with Algebraic Multigrid in FEniCS
Prolongation	Learning Prolongation for Diffusion Problems with Random Coefficients
ptychography	Multigrid Optimization for Large-Scale Ptychographic Phase Retrieval
R
radiation hydrodynamics	Application of Multigrid Preconditioning for Lagrangian Radiation-Hydrodynamics
rank-revealing decomposition	A blocked adaptive cross approximation algorithm and its hierarchical generalization
Rational approximation of the exponential integrator	Towards a parareal coarse propagator for numerical weather prediction.
relaxation methods	PCPATCH - A new preconditioner in PETSc to express subspace correction methods
residual networks	Layer-Parallel Training of Deep Residual Neural Networks
Robust optimization	MG/OPT and multilevel Monte Carlo for robust PDE constrained optimization
Rounding error analysis	Rounding error analysis for mixed precision multigrid solvers
S
SA-AMG	The Analysis of SA-AMG Method by Applying Hybrid MPI/OpenMP Parallelization on Cluster Supercomputer System
scalable linear solvers	Toward interoperability support between scalable linear solver libraries in hypre
scalar conservation laws	Multilevel Monte Carlo methods for statistical solutions of hyperbolic conservation laws
Scaled correction	Highly Parallel Additive Multigrid with Scaled Correction
Schwarz methods	PCPATCH - A new preconditioner in PETSc to express subspace correction methods
scientific software	Toward interoperability support between scalable linear solver libraries in hypre
Semi-implicit	Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics
Shallow Water Equations	Multigrid solvers for semi-implicit hybridised DG methods in fluid dynamics Towards a parareal coarse propagator for numerical weather prediction.
singular value decomposition	A blocked adaptive cross approximation algorithm and its hierarchical generalization
Smoothed Restriction	adaFACx - smoothed restriction to damp additive multigrid
smoother	A Multiscale Finite Element Method with Locally Adaptive Bubble Function Enrichment
software	PCPATCH - A new preconditioner in PETSc to express subspace correction methods
space-time methods	Space-Time Finite Element Solvers of Parabolic Evolution Problems with Non-smooth Solutions
Sparse Matrices	Improving Scalability of Algebraic Multigrid by a Specialized MATVEC and Divide and Conquer MatMat Product
Sparse matrix computation	Fast distributed triple-matrix multiplication on GPUs in AMG setup
stable finite elements	Robust solvers for a stabilized discretization of the poroelastic equations
stationary incompressible flow	A Reynolds-robust augmented Lagrangian preconditioner for the 3D stationary Navier-Stokes
stochastic gradient descent	Can we do better? Using machine learning to optimize multigrid methods
stochastic PDEs	A hierarchical multilevel Markov chain Monte Carlo approach for large-scale Bayesian inference
Stokes equations with variable viscosity	Adaptive, Parallel, Matrix-free Geometric Multigrid for Stokes Equations with Large Viscosity Contrast
Stopping criterion	A Discretization-Accurate Stopping Criterion for Iterative Solvers on Finite Element Approximation
Structural problems	An Adaptive AMG preconditioner for ill-conditioned structural problems
structured grid	Structured grid approach to accelerate multigrid on NGP
Structured grids	An efficient asynchronous incomplete LU iteration for convection-diffusion problems on structured grids
structured meshes	A Multigrid Method Tailored to Semi-structured Grids
Structured Multigrid	Matrix-Free Multigrid on Hierarchical Hybrid Grids Automating Communication Aggregation in Robust Structured Multigrid
Subspace correction methods	PCPATCH - A new preconditioner in PETSc to express subspace correction methods
sum-factorisation	Matrix-free multigrid block-smoothers for higher-order DG discretisations
support vector machine	Engineering multilevel support vector machines
systems of conservation laws	Multilevel Monte Carlo methods for statistical solutions of hyperbolic conservation laws
T
textbook multigrid efficiency	Matrix-Free Multigrid on Hierarchical Hybrid Grids
time integration	Hyperbolic PDEs and Parallel-In-Time: A Revival in Reduction Methods
time-stepping	Parallel-in-time methods for eddy current problems
transport equation	A Multilevel Approach for Trace System in HDG Discretizations
U
UG4	Modelling Musical Instruments
uncertainty quantification	Multilevel (quasi-)Monte Carlo methods for a random elliptic eigenvalue problem A hierarchical multilevel Markov chain Monte Carlo approach for large-scale Bayesian inference Enhanced Multi-Index Monte Carlo by means of Multiple Semi-Coarsened Multigrid for Anisotropic Diffusion Problems
Unstructured and adaptive mesh refinement	Adaptive, Parallel, Matrix-free Geometric Multigrid for Stokes Equations with Large Viscosity Contrast
unstructured meshes	Space-Time Finite Element Solvers of Parabolic Evolution Problems with Non-smooth Solutions
W
wavefunction expansion	A fast high order algorithm for multiple scattering from extremely large three dimensional configurations
weighted aggregation	Engineering multilevel support vector machines
Z
ZFP	Error Analysis of Inline ZFP Compression for Multigrid Methods

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