Multigrid Techniques

From MaRDI portal
Publication:3010611

DOI10.1137/1.9781611970753zbMath1227.65121OpenAlexW2504261469MaRDI QIDQ3010611

Oren E. Livne, Achi Brandt

Publication date: 27 June 2011

Full work available at URL: https://doi.org/10.1137/1.9781611970753




Related Items (max. 100)

Multigrid algorithm based on hybrid smoothers for variational and selective segmentation modelsMultigrid-based `shifted-Laplacian' preconditioning for the time-harmonic elastic wave equationA multigrid scheme for 3D Monge–Ampère equationsA new multilevel method for electrostatic problems through hierarchical loop basisImplicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applicationsA nonlinear multigrid steady-state solver for 1D microflowMonolithic Multigrid Methods for Two-Dimensional Resistive MagnetohydrodynamicsSegmental Refinement: A Multigrid Technique for Data LocalityTextbook Efficiency: Massively Parallel Matrix-Free Multigrid for the Stokes SystemArtificial diamonds are still diamondsQuasi-\textit{a priori} truncation error estimation and higher-order extrapolation for non-linear partial differential equationsFourier Analysis of Periodic Stencils in Multigrid MethodsOn the Analysis of Block Smoothers for Saddle Point ProblemsSmoothing analysis of distributive red-black Jacobi relaxation for solving 2D Stokes flow by multigrid methodAcceleration for microflow simulations of high-order moment models by using lower-order model correctionA two-scale approach for efficient on-the-fly operator assembly in massively parallel high performance multigrid codesHigh level implementation of geometric multigrid solvers for finite element problems: applications in atmospheric modellingUGKS-Based Implicit Iterative Method for Multiscale Nonequilibrium Flow SimulationsThe estimation of truncation error by \(\tau\)-estimation for Chebyshev spectral collocation methodMultigrid method for nonlinear poroelasticity equationsOn a Multilevel Preconditioner and its Condition Numbers for the Discretized Laplacian on Full and Sparse Grids in Higher DimensionsAn Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity FlowAccelerating algebraic multigrid methods via artificial neural networksSmoothing analysis of two-color distributive relaxation for solving 2D Stokes flow by multigrid methodMultigrid method based on a space-time approach with standard coarsening for parabolic problemsMultigrid Optimization for Large-Scale Ptychographic Phase RetrievalA parallel nonlinear multigrid solver for unsteady incompressible flow simulation on multi-GPU clusterA ghost-point smoothing strategy for geometric multigrid on curved boundariesConvergence analysis of the Fast Subspace Descent method for convex optimization problemsSolver Composition Across the PDE/Linear Algebra BarrierGeometric multigrid method for solving Poisson's equation on octree grids with irregular boundariesA new algebraic multigrid approach for Stokes problemsA geometric multigrid library for quadtree/octree AMR grids coupled to MPI-AMRVACAlgebraic Multigrid for Stokes EquationsUzawa Smoother in Multigrid for the Coupled Porous Medium and Stokes Flow SystemOn Local Fourier Analysis of Multigrid Methods for PDEs with Jumping and Random CoefficientsA smoothing process of multicolor relaxation for solving partial differential equation by multigrid methodPreconditioned Nonlinear Iterations for Overlapping Chebyshev Discretizations with Independent GridsFast multigrid solution of high-order accurate multiphase Stokes problemsAn efficient steady-state solver for microflows with high-order moment modelManycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid MethodOn High-Order Multilevel Optimization StrategiesTruncation error estimation in the p-anisotropic discontinuous Galerkin spectral element methodExtending a new two-grid waveform relaxation on a spatial finite element discretizationA two-level method for isogeometric discretizations based on multiplicative Schwarz iterations\(p\)-multigrid with partial smoothing: an efficient preconditioner for discontinuous Galerkin discretizations with modal basesAlgebraic Error Analysis for Mixed-Precision Multigrid SolversArchitecting the finite element method pipeline for the GPUTwo fast finite difference schemes for elliptic Dirichlet boundary control problemsSharp algebraic and total a posteriori error bounds for \(h\) and \(p\) finite elements via a multilevel approach. Recovering mass balance in any situationReal-time adaptive finite element solution of time-dependent Kohn-Sham equationAdaptation strategies for high order discontinuous Galerkin methods based on tau-estimationAnalysis of two-grid methods: The nonnormal caseReducing Communication Costs for Sparse Matrix Multiplication within Algebraic MultigridAn H-Multigrid Method for Hybrid High-Order DiscretizationsA p-multigrid strategy with anisotropic p-adaptation based on truncation errors for high-order discontinuous Galerkin methodsResilience for Massively Parallel Multigrid SolversAn Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier--Stokes Equations at High Reynolds NumberA novel solution method for unsteady incompressible Euler flow using the vorticity-Bernoulli-pressure formulationSimulation techniques for modified gravityA multigrid preconditioner for spatially adaptive high-order meshless method on fluid-solid interaction problemsAlgebraic Error Analysis for Mixed-Precision Multigrid SolversEnergy-Minimizing, Symmetric Discretizations for Anisotropic Meshes and Energy Functional ExtrapolationA two-grid method for elliptic problem with boundary layers


Uses Software



This page was built for publication: Multigrid Techniques