A review of algebraic multigrid

From MaRDI portal
Publication:5931478

DOI10.1016/S0377-0427(00)00516-1zbMath0979.65111MaRDI QIDQ5931478

Klaus Stüben

Publication date: 12 February 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)




Related Items (only showing first 100 items - show all)

Survey on the technique of hierarchical matricesPreconditioning nonlocal multi-phase flowDeterministic radiative transfer equation solver on unstructured tetrahedral meshes: efficient assembly and preconditioningMulti-stage preconditioners for thermal-compositional-reactive flow in porous mediaA GPU accelerated aggregation algebraic multigrid methodNumerical modeling of discrete multi-crack growth applied to pattern formation in geological brittle mediaScalable preconditioning for the stabilized contact mechanics problemAn efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular gridsAnalysis of heterogeneous structures of non-separated scales using curved bridge nodesGeometric and algebraic multigrid techniques for fluid dynamics problems on unstructured gridsA scalable parallel black oil simulator on distributed memory parallel computersA multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured gridsAnatomically accurate high resolution modeling of human whole heart electromechanics: A strongly scalable algebraic multigrid solver method for nonlinear deformationParallel iterative substructuring in structural mechanics\textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditionerAn implicit algorithm of solving Navier-Stokes equations to simulate flows in anisotropic porous mediaGPU-accelerated large-scale simulations of interfacial multiphase fluids for real-case applicationsBlock-selective algebraic multigrid for implicitly coupled pressure-velocity systemAn algebraic multigrid method for higher-order finite element discretizationsAggregation based on graph matching and inexact coarse grid solve for algebraic two gridHigher order FE-FV method on unstructured grids for transport and two-phase flow with variable viscosity in heterogeneous porous mediaBoundary treatment and multigrid preconditioning for semi-Lagrangian schemes applied to Hamilton-Jacobi-Bellman equationsLatent semantic analysis and Fiedler retrievalModelling 3D semi-deformable tubes in real timeAn efficient sixth-order solution for anisotropic Poisson equation with completed Richardson extrapolation and multiscale multigrid methodAn adaptive Galerkin method for the time-dependent complex Schrödinger equationThe compact discontinuous Galerkin method for nearly incompressible linear elasticityRepeated Richardson extrapolation applied to the two-dimensional Laplace equation using triangular and square gridsInexact hierarchical scale separation: a two-scale approach for linear systems from discontinuous Galerkin discretizationsA supplementary strategy for coarsening in algebraic multigridEfficient CPR-type preconditioner and its adaptive strategies for large-scale parallel reservoir simulationsResidual scaling techniques in multigrid. I: Equivalence proofA scalable preconditioning framework for stabilized contact mechanics with hydraulically active fracturesBlock filtering decompositionGeneralization of algebraic multiscale to algebraic multigrid\textit{UG} 4: a novel flexible software system for simulating PDE based models on high performance computersA scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3DOn the algebraic construction of sparse multilevel approximations of elliptic tensor product problemsAccelerating algebraic multigrid methods via artificial neural networksComputational evaluation of multi-iterative approaches for solving graph-structured large linear systemsSubspace correction methods in algebraic multi-level framesZonal multiscale finite-volume frameworkMultigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information GamesSimulation of the effect of geometric parameters on tangentially injected swirling pipe airflowPreconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectivesA fast solver for the Stokes equations with distributed forces in complex geometries.Fracture and impulse based finite-discrete element modeling of fragmentationNumerical simulation of multiple 3D fracture propagation using arbitrary meshesA versatile sharp interface immersed boundary method for incompressible flows with complex boundariesNovel multilevel techniques for convergence acceleration in the solution of systems of equations arising from RBF-FD meshless discretizationsMatrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisationsThe image-based multiscale multigrid solver, preconditioner, and reduced order modelGPU-based algorithm for evaluating the electrical resistivity of digital rocksA multilevel multiscale mimetic (M\(^3\)) method for two-phase flows in porous mediaPiecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problemsAdaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivativesEvaluating linear and nonlinear solvers for density driven flowAccelerated multigrid for graph Laplacian operatorsEfficient nonlinear solvers for Laplace-Beltrami smoothing of three-dimensional unstructured grids\(p\)-multigrid with partial smoothing: an efficient preconditioner for discontinuous Galerkin discretizations with modal basesImplementation and scalability analysis of balancing domain decomposition methodsA parallel implementation of the algebraic multigrid method for solving problems in dynamics of viscous incompressible fluidA filter in constructing the preconditioner for solving linear equation systems of radiation diffusion problemsEfficient relaxed-Jacobi smoothers for multigrid on parallel computersMultiscale finite-element method for linear elastic geomechanicsA semi-uniform multigrid algorithm for solving elliptic interface problemsMultigrid reduction preconditioning framework for coupled processes in porous and fractured mediaComputing several eigenpairs of Hermitian problems by conjugate gradient iterationsA review of variational multiscale methods for the simulation of turbulent incompressible flowsAnalysis of algebraic multigrid parameters for two-dimensional steady-state heat diffusion equationsAccelerating algebraic multigrid solvers on NVIDIA GPUsAn exponential integrator for advection-dominated reactive transport in heterogeneous porous mediaCoarsening of boundary-element spacesA parallel fictitious domain multigrid preconditioner for the solution of Poisson's equation in complex geometriesAlgebraic multigrid for higher-order finite elementsPreconditioning strategies for vectorial finite element linear systems arising from phase-field models for fracture mechanicsMatrix-free multigrid solvers for phase-field fracture problemsAn efficient algorithm for polarizable interactions: a uniformly distributed one-dimensional caseConvergence analysis of multigrid methods with residual scaling techniquesCoupled algebraic multigrid methods for the Oseen problemMultigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral gridsA fast algebraic multigrid preconditioned conjugate gradient solverA nearly optimal multigrid method for general unstructured gridsLocal time-space mesh refinement for simulation of elastic wave propagation in multi-scale mediaBlack-box learning of multigrid parametersAn algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equationsOn iterative methods for the incompressible Stokes problemA positivity-preserving finite volume scheme with least square interpolation for 3D anisotropic diffusion equationA parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations.A finite element framework for modeling internal frictional contact in three-dimensional fractured media using unstructured tetrahedral meshesLow frequency tangential filtering decompositionA Rayleigh quotient minimization algorithm based on algebraic multigridThe Coarse Mesh Condensation Multiscale Method for parallel computation of heterogeneous linear structures without scale separationA curvilinear high order finite element framework for electromechanics: from linearised electro-elasticity to massively deformable dielectric elastomersStochastic simulation of pattern formation in growing tissue: a multilevel approachA discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous mediaBucket-based multigrid preconditioner for solving pressure Poisson equation using a particle methodApplication of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamicsA hybrid multigrid method for convection-diffusion problemsPreconditioning techniques for large linear systems: A survey


Uses Software


Cites Work


This page was built for publication: A review of algebraic multigrid