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Guide to multigrid development

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01432879openalex-snapshot
The defect correction principle and discretization methods
inferredcites →https://doi.org/10.1007/bf01601941openalex-snapshot
Multivariate interpolation at arbitrary points made simple
inferredcites →https://doi.org/10.1007/bfb0069928openalex-snapshot
Multigrid methods: Fundamental algorithms, model problem analysis and applications
inferredcites →https://doi.org/10.1007/bfb0069929openalex-snapshot
Multi-grid convergence theory
inferredcites →https://doi.org/10.1007/bfb0069934openalex-snapshot
The convergence rate of a multigrid method with Gauss-Seidel relaxation for the poisson equation
inferredcites →https://doi.org/10.1007/bfb0069936openalex-snapshot
Sparse matrix software for elliptic PDE’s
inferredcites →https://doi.org/10.1007/bfb0069941openalex-snapshot
Analysis and comparison of relaxation schemes in robust multigrid and preconditioned conjugate gradient methods
inferredcites →https://doi.org/10.1007/bfb0118663openalex-snapshot
Multi-level adaptive technique (MLAT) for fast numerical solution to boundary value problems
inferredcites →https://doi.org/10.1016/0016-0032(52)90971-xopenalex-snapshot
Numerical methods in engineering
inferredcites →https://doi.org/10.1016/0021-9991(75)90072-8openalex-snapshot
On multiple grid and related techniques for solving discrete elliptic systems
inferredcites →https://doi.org/10.1016/0021-9991(77)90116-4openalex-snapshot
Mesh refinement and local inversion of elliptic partial differential equations
inferredcites →https://doi.org/10.1016/0021-9991(78)90031-1openalex-snapshot
The operator compact implicit method for parabolic equations
inferredcites →https://doi.org/10.1016/0021-9991(80)90094-7openalex-snapshot
The multigrid method for semi-implicit hydrodynamics codes
inferredcites →https://doi.org/10.1016/0021-9991(82)90057-2openalex-snapshot
Black box multigrid
inferredcites →https://doi.org/10.1016/0024-3795(83)90091-5openalex-snapshot
A note on MGR methods
inferredcites →https://doi.org/10.1016/0031-3203(83)90026-2openalex-snapshot
Multi-resolution relaxation
inferredcites →https://doi.org/10.1016/0041-5553(66)90118-2openalex-snapshot
On the convergence of a relaxation method with natural constraints on the elliptic operator
inferredcites →https://doi.org/10.1016/0045-7825(81)90100-6openalex-snapshot
Boundary and interior layers-computational and asymptotic methods
inferredcites →https://doi.org/10.1016/0146-664x(81)90046-0openalex-snapshot
Template matching in pyramids
inferredcites →https://doi.org/10.1016/0378-4754(81)90087-2openalex-snapshot
On efficient multigrid software for elliptic problems on rectangular domains
inferredcites →https://doi.org/10.1016/b978-0-12-208360-0.50013-9openalex-snapshot
The Hodie Method and its Performance for Solving Elliptic Partial Differential Equations
inferredcites →https://doi.org/10.1016/b978-0-12-546050-7.50008-3openalex-snapshot
Multigrid Solutions to Elliptic Flow Problems
inferredcites →https://doi.org/10.1016/b978-0-12-587260-7.50015-7openalex-snapshot
Multi-Level Adaptive Techniques (MLAT) for Partial Differential Equations: Ideas and Software
inferredcites →https://doi.org/10.1016/b978-0-12-632620-8.50006-1openalex-snapshot
A MULTI-LEVEL ITERATIVE METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
inferredcites →https://doi.org/10.1016/b978-0-12-632620-8.50008-5openalex-snapshot
MULTIGRID SOLVERS ON PARALLEL COMPUTERS
inferredcites →https://doi.org/10.1016/b978-0-12-632620-8.50027-9openalex-snapshot
NON-STANDARD MULTIGRID TECHNIQUES USING CHECKERED RELAXATION AND INTERMEDIATE GRIDS
inferredcites →https://doi.org/10.1016/c2013-0-10376-5openalex-snapshot
Elliptic Problem Solvers
inferredcites →https://doi.org/10.1063/1.3057509openalex-snapshot
Finite-Difference Methods for Partial Differential Equations
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0431719-xopenalex-snapshot
Multi-Level Adaptive Solutions to Boundary-Value Problems
inferredcites →https://doi.org/10.1090/s0025-5718-1977-0488722-3openalex-snapshot
On the 𝑙² convergence of an algorithm for solving finite element equations
inferredcites →https://doi.org/10.1093/imamat/26.2.119openalex-snapshot
The Fast Numerical Solution of Very Large Elliptic Difference Schemes
inferredcites →https://doi.org/10.1137/0902035openalex-snapshot
The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
inferredcites →https://doi.org/10.2307/2007307openalex-snapshot
Recent Advances in Numerical Analysis.
inferredcites →https://doi.org/10.2307/2332798openalex-snapshot
Finite-Difference Methods for Partial Differential Equations.
inferredcites →https://doi.org/10.2514/3.50867openalex-snapshot
Multilevel Adaptive Computations in Fluid Dynamics
inferredcites →https://doi.org/10.2514/6.1980-1365openalex-snapshot
A multi-grid code for 3-D transonic potential flow about axisymmetric inlets at angle of attack
inferredcites →https://doi.org/10.2514/6.1982-107openalex-snapshot
A multigrid mesh-embedding technique for three-dimensional transonicpotential flow analysis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A fast adaptive multigrid boundary element method for macromolecular electrostatic computations in a solvent
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Comparison of pressure correction smoothers for multigrid solution of incompressible flow
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An unsteady incompressible Navier-Stokes solver for large eddy simulation of turbulent flows
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Analysis of matrix-dependent multigrid algorithms
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Model case analysis of an algebraic multilevel method
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A multigrid finite difference approach to steady flow between eccentric rotating cylinders
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Electromagnetics, Physics, and Mathematics
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An algebraic multigrid method for isotropic linear elasticity problems on anisotropic meshes
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A multigrid method for an invariant formulation of the incompressible navier—stokes equations in general Co‐ordinates
inferred← citeshttps://doi.org/10.1002/cnm.1630081008openalex-snapshot
Optimal multistage schemes for multigrid smoothing of two‐dimensional advection operators
inferred← citeshttps://doi.org/10.1002/cpe.5941openalex-snapshot
Delayed approximate matrix assembly in multigrid with dynamic precisions
inferred← citeshttps://doi.org/10.1002/fld.1650080405openalex-snapshot
A multigrid method for recirculating flows
inferred← citeshttps://doi.org/10.1002/fld.1650081008openalex-snapshot
Comparison of two solution strategies for use with higher‐order discretization schemes in fluid flow simulation
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Benchmark solutions for the incompressible Navier–Stokes equations in general co‐ordinates on staggered grids
inferred← citeshttps://doi.org/10.1002/fld.170openalex-snapshot
A multigrid approach for steady state laminar viscous flows
inferred← citeshttps://doi.org/10.1002/fld.1737openalex-snapshot
Development and application of a parallel multigrid solver for the simulation of spreading droplets
inferred← citeshttps://doi.org/10.1002/fld.1917openalex-snapshot
High‐order accurate p‐multigrid discontinuous Galerkin solution of the Euler equations
inferred← citeshttps://doi.org/10.1002/fld.4199openalex-snapshot
Stabilisation of AMG solvers for saddle‐point stokes problems
inferred← citeshttps://doi.org/10.1002/fld.448openalex-snapshot
A domain decomposition approach to compute wave breaking (wave‐breaking flows)
inferred← citeshttps://doi.org/10.1002/fld.597openalex-snapshot
A multigrid pseudospectral method for steady flow computation
inferred← citeshttps://doi.org/10.1002/fld.632openalex-snapshot
Efficient and accurate time adaptive multigrid simulations of droplet spreading
inferred← citeshttps://doi.org/10.1002/fld.742openalex-snapshot
A finite volume unstructured multigrid method for efficient computation of unsteady incompressible viscous flows
inferred← citeshttps://doi.org/10.1002/nla.1864openalex-snapshot
Multigrid methods for cell‐centered discretizations on triangular meshes
inferred← citeshttps://doi.org/10.1002/nme.1620240408openalex-snapshot
Semiconductor device modelling from the numerical point of view
inferred← citeshttps://doi.org/10.1002/nme.1620270315openalex-snapshot
Multigrid solution and grid redistribution for convection–diffusion
inferred← citeshttps://doi.org/10.1002/nme.1972openalex-snapshot
On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers
inferred← citeshttps://doi.org/10.1002/nme.265openalex-snapshot
An algebraic two‐level preconditioner for asymmetric, positive‐definite systems
inferred← citeshttps://doi.org/10.1002/nme.682openalex-snapshot
Coarsening unstructured meshes by edge contraction
inferred← citeshttps://doi.org/10.1002/num.10079openalex-snapshot
Local defect correction with slanting grids
inferred← citeshttps://doi.org/10.1002/num.1690100304openalex-snapshot
Steady incompressible flow around objects in general coordinates with a multigrid solution method
inferred← citeshttps://doi.org/10.1002/qj.2676openalex-snapshot
Multigrid solvers and multigrid preconditioners for the solution of variational data assimilation problems
inferred← citeshttps://doi.org/10.1002/we.2027openalex-snapshot
Rotor‐tower interactions of DTU 10MW reference wind turbine with a non‐linear harmonic method
inferred← citeshttps://doi.org/10.1006/icse.1993.1006openalex-snapshot
A Robust Multigrid Method for a Discretization of the Incompressible Navier-Stokes Equations in General Coordinates
inferred← citeshttps://doi.org/10.1006/jcom.1999.0499openalex-snapshot
A Note on the Complexity of Solving Poisson's Equation for Spaces of Bounded Mixed Derivatives
inferred← citeshttps://doi.org/10.1006/jcph.1997.5764openalex-snapshot
Multigrid Computation of Stratified Flow over Two-Dimensional Obstacles
inferred← citeshttps://doi.org/10.1006/jcph.1998.5862openalex-snapshot
Comparison of Different Krylov Subspace Methods Embedded in an Implicit Finite Volume Scheme for the Computation of Viscous and Inviscid Flow Fields on Unstructured Grids
inferred← citeshttps://doi.org/10.1006/jcph.1998.5915openalex-snapshot
Comparison of Multigrid Methods for Neutral and Stably Stratified Flows over Two-Dimensional Obstacles
inferred← citeshttps://doi.org/10.1006/jcph.1998.6168openalex-snapshot
Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows
inferred← citeshttps://doi.org/10.1006/jcph.1999.6216openalex-snapshot
A Robust Multigrid Algorithm for the Euler Equations with Local Preconditioning and Semi-coarsening
inferred← citeshttps://doi.org/10.1006/jcph.2001.6762openalex-snapshot
Multigrid Solution of the Incompressible Navier–Stokes Equations for Density-Stratified Flow past Three-Dimensional Obstacles
inferred← citeshttps://doi.org/10.1007/3-540-13917-6_150openalex-snapshot
A two-grid method for fluid dynamic problems with disparate time scales
inferred← citeshttps://doi.org/10.1007/3-540-13917-6_173openalex-snapshot
Multigrid relaxation for the Euler equations
inferred← citeshttps://doi.org/10.1007/3-540-27039-6_16openalex-snapshot
AMR applied to non-linear Elastodynamics
inferred← citeshttps://doi.org/10.1007/3-540-31801-1_107openalex-snapshot
A Parallel Multi-Block Method for the Unsteady Vorticity-Velocity Navier-Stokes Equations
inferred← citeshttps://doi.org/10.1007/3-540-31801-1_64openalex-snapshot
Multigrid Solution for High-Order Discontinuous Galerkin Discretizations of the Compressible Navier-Stokes Equations
inferred← citeshttps://doi.org/10.1007/3-540-51048-6_68openalex-snapshot
A new multigrid approach to convection problems
inferred← citeshttps://doi.org/10.1007/3-540-56394-6_194openalex-snapshot
A multi-dimensional solution adaptive multigrid solver for the Euler equations
inferred← citeshttps://doi.org/10.1007/3-540-59280-6_129openalex-snapshot
A higher-order multidimensional upwind solution-adaptive multigrid solver for compressible flows
inferred← citeshttps://doi.org/10.1007/3-540-76076-8_138openalex-snapshot
A new variational technique for Shape from Shading
inferred← citeshttps://doi.org/10.1007/978-1-4020-2313-2_17openalex-snapshot
A Three-Dimensional Adaptive Wavelet Method for Fluid-Structure Interaction
inferred← citeshttps://doi.org/10.1007/978-1-4020-5981-0_15openalex-snapshot
A Multigrid Approach in the Numerical Problem of Tangential Contact
inferred← citeshttps://doi.org/10.1007/978-1-4471-4823-4_7openalex-snapshot
Theoretical Studies of Plasmonic Effects in Organic Solar Cells
inferred← citeshttps://doi.org/10.1007/978-1-4757-0560-7_12openalex-snapshot
Miscellaneous numerical methods
inferred← citeshttps://doi.org/10.1007/978-1-4757-3748-6_1openalex-snapshot
Multigrid Solvers and Multilevel Optimization Strategies
inferred← citeshttps://doi.org/10.1007/978-1-4757-9993-4_10openalex-snapshot
Critical Behaviour in Scalar Field Collapse
inferred← citeshttps://doi.org/10.1007/978-3-030-10475-7_153-1openalex-snapshot
Numerical Methods, Multigrid
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Numerical Methods, Multigrid
inferred← citeshttps://doi.org/10.1007/978-3-031-92369-2_30openalex-snapshot
A Multigrid Approach for Fourth-Order Equations in Image Registration
inferred← citeshttps://doi.org/10.1007/978-3-0348-5712-3_21openalex-snapshot
Time Accurate Multigrid Solutions of the Navier-Stokes Equations
inferred← citeshttps://doi.org/10.1007/978-3-0348-5712-3_23openalex-snapshot
A two-grid analysis of the combination of mixed finite elements and Vanka-type relaxation
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On Robust and Adaptive Multi-Grid Methods
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A Multidimensional Upwind Solution Adaptive Multigrid Solver for Inviscid Cascades
inferred← citeshttps://doi.org/10.1007/978-3-0348-8524-9_2openalex-snapshot
A Generalized Multigrid Theory in the Style of Standard Iterative Methods
inferred← citeshttps://doi.org/10.1007/978-3-319-70945-1_6openalex-snapshot
Multigrid and Preconditioning Techniques in CFD Applications
inferred← citeshttps://doi.org/10.1007/978-3-322-86200-6_10openalex-snapshot
Multigrid Methods for the Solution of the Compressible Navier-Stokes Equations
inferred← citeshttps://doi.org/10.1007/978-3-322-87869-4_14openalex-snapshot
Multigrid Methods for the Solution of Porous Media Multiphase Flow Equations
inferred← citeshttps://doi.org/10.1007/978-3-322-87875-5_11openalex-snapshot
A Non-Linear Multigrid Method for the Steady Euler Equations
inferred← citeshttps://doi.org/10.1007/978-3-322-89729-9_7openalex-snapshot
Multigrid and Defect Correction for the Efficient Solution of the Steady Euler Equations
inferred← citeshttps://doi.org/10.1007/978-3-322-89849-4_26openalex-snapshot
Numerical Simulation of Incompressible Flows with the Method of Artificial Compressibility
inferred← citeshttps://doi.org/10.1007/978-3-322-89849-4_8openalex-snapshot
Parallelization of Solution Schemes for the Navier-Stokes Equations
inferred← citeshttps://doi.org/10.1007/978-3-540-33287-9_52openalex-snapshot
Efficient Large-Eddy Simulation of Low Mach Number Flow
inferred← citeshttps://doi.org/10.1007/978-3-540-34961-7_11openalex-snapshot
Multilevel FEM for Heterogeneous Structures: From Homogenization to Multigrid Solvers
inferred← citeshttps://doi.org/10.1007/978-3-540-36527-3_5openalex-snapshot
Coupling of Homogenization Techniques with Multigrid Solvers for Unstructured Meshes
inferred← citeshttps://doi.org/10.1007/978-3-540-44437-4_5openalex-snapshot
Development of Navier-Stokes Solvers on Hybrid Grids
inferred← citeshttps://doi.org/10.1007/978-3-540-70805-6_14openalex-snapshot
The Development of Numerical Fluid Mechanics and Aerodynamics since the 1960s: US and Canada
inferred← citeshttps://doi.org/10.1007/978-3-540-79409-7_40openalex-snapshot
Half-Sweep Algebraic Multigrid (HSAMG) Method Applied to Diffusion Equations
inferred← citeshttps://doi.org/10.1007/978-3-540-92779-2_34openalex-snapshot
A high scalability parallel algebraic multigrid solver
inferred← citeshttps://doi.org/10.1007/978-3-642-13872-0_2openalex-snapshot
Performance Limitations for Sparse Matrix-Vector Multiplications on Current Multi-Core Environments
inferred← citeshttps://doi.org/10.1007/978-3-642-56080-4_17openalex-snapshot
Efficient Computational Algorithms for Fast Electrostatics and Molecular Docking
inferred← citeshttps://doi.org/10.1007/978-3-642-56205-1_1openalex-snapshot
Multiscale Scientific Computation: Review 2001
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Multilevel Evaluation of Integral Transforms on Adaptive Grids
inferred← citeshttps://doi.org/10.1007/978-3-642-58734-4_5openalex-snapshot
Accuracy and Convergence of Defect Correction in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers
inferred← citeshttps://doi.org/10.1007/978-3-642-58734-4_6openalex-snapshot
3D Multigrid on Partially Ordered Sets of Grids
inferred← citeshttps://doi.org/10.1007/978-3-642-59334-5_110openalex-snapshot
An Accurate and Efficient Technique for Unsteady Viscous Flows in Two Dimensions
inferred← citeshttps://doi.org/10.1007/978-3-642-69298-7_1openalex-snapshot
Mehrgitterprinzip — moderne Denk- und Arbeitsweise der Numerik
inferred← citeshttps://doi.org/10.1007/978-3-642-76123-2_11openalex-snapshot
Finite-Element-Methoden und ihre Absicherung in der Mathematik
inferred← citeshttps://doi.org/10.1007/978-3-642-76717-3_6openalex-snapshot
Multi-Grid Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-662-04015-7_10openalex-snapshot
Aspects of Homogenization Techniques and Multigrid Solving
inferred← citeshttps://doi.org/10.1007/978-3-662-04354-7_4openalex-snapshot
Nonlinear Multigrid Techniques
inferred← citeshttps://doi.org/10.1007/978-3-663-00221-5_11openalex-snapshot
Multigrid and ADI techniques to solve unsteady 3D viscous flow in velocity-vorticity formulation
inferred← citeshttps://doi.org/10.1007/978-3-663-13974-4_7openalex-snapshot
Explicit Multigrid Smoothing for Multidimensional Upwinding of the Euler Equations
inferred← citeshttps://doi.org/10.1007/978-3-663-14004-7_12openalex-snapshot
A Multigrid Algorithm for the Incompressible Navier—Stokes Equations
inferred← citeshttps://doi.org/10.1007/978-3-663-14004-7_13openalex-snapshot
Analysis and Application of A Line Solver for the Recirculating Flows Using Multigrid Methods
inferred← citeshttps://doi.org/10.1007/978-3-663-14169-3_1openalex-snapshot
The Direct Solution of a Generalized Biharmonic Equation on a Disk
inferred← citeshttps://doi.org/10.1007/978-3-663-14245-4_4openalex-snapshot
Multigrid Solution of the Steady Euler Equations
inferred← citeshttps://doi.org/10.1007/978-3-663-14245-4_6openalex-snapshot
A Multigrid Treatment of Stream Function Normal Derivative Boundary Conditions
inferred← citeshttps://doi.org/10.1007/978-3-663-14246-1_2openalex-snapshot
Adaptive Multigrid Methods: The UG Concept
inferred← citeshttps://doi.org/10.1007/978-3-7091-2826-8_2openalex-snapshot
Five Lectures on Nonlinear Finite Element Methods
inferred← citeshttps://doi.org/10.1007/978-3-7091-7023-6_6openalex-snapshot
Local Defect Correction Method and Domain Decomposition Techniques
inferred← citeshttps://doi.org/10.1007/978-3-7091-7023-6_8openalex-snapshot
Mixed Defect Correction Iteration for the Solution of a Singular Perturbation Problem
inferred← citeshttps://doi.org/10.1007/978-94-011-0305-3_7openalex-snapshot
Multiresolutional Architectures for Autonomous Systems with Incomplete and Inadequate Knowledge Representation
inferred← citeshttps://doi.org/10.1007/978-94-011-3554-2_3openalex-snapshot
Fast Solution of Radiative Transfer Problems with a Multi-Grid Method
inferred← citeshttps://doi.org/10.1007/978-94-011-5169-6_18openalex-snapshot
Local Preconditioning: Who Needs It?
inferred← citeshttps://doi.org/10.1007/978-981-96-0100-4_3openalex-snapshot
Numerical Methods for Poisson–Boltzmann Equations
inferred← citeshttps://doi.org/10.1007/bf00044333openalex-snapshot
Multigrid and Runge-Kutta time stepping applied to the uniformly non-oscillatory scheme for conservation laws
inferred← citeshttps://doi.org/10.1007/bf00046380openalex-snapshot
Multigrid acceleration of a block structured compressible flow solver
inferred← citeshttps://doi.org/10.1007/bf01389440openalex-snapshot
Thirteen ways to estimate global error
inferred← citeshttps://doi.org/10.1007/bf01398879openalex-snapshot
Convergence of the multigrid full approximation scheme for a class of elliptic mildly nonlinear boundary value problems
inferred← citeshttps://doi.org/10.1007/bf01423952openalex-snapshot
Mathematical model of the ?dam-foundation? static system of the Khudoni hydroelectric station
inferred← citeshttps://doi.org/10.1007/bf02088949openalex-snapshot
Multigrid solution of stably stratified flows: The quasigeostrophic equations
inferred← citeshttps://doi.org/10.1007/bf02510922openalex-snapshot
Extensions of block-projections methods with relaxation parameters to inconsistent and rank-deficient least-squares problems
inferred← citeshttps://doi.org/10.1007/bf02510923openalex-snapshot
Coloring update methods
inferred← citeshttps://doi.org/10.1007/bfb0032242openalex-snapshot
A Lagrangian method based on the Voronoi diagram for the incompressible Navier Stokes equations on a periodic domain
inferred← citeshttps://doi.org/10.1007/bfb0041858openalex-snapshot
Application of the fast adaptive composite grid method to computational fluid dynamics
inferred← citeshttps://doi.org/10.1007/bfb0069928openalex-snapshot
Multigrid methods: Fundamental algorithms, model problem analysis and applications
inferred← citeshttps://doi.org/10.1007/bfb0069937openalex-snapshot
Multigrid software for the solution of elliptic problems on rectangular domains: MGOO (release 1)
inferred← citeshttps://doi.org/10.1007/bfb0072640openalex-snapshot
Magnetohydrodynamic equilibrium calculations using multigrid
inferred← citeshttps://doi.org/10.1007/bfb0072646openalex-snapshot
Deffect correction and higher order schemes for the multi grid solution of the steady Euler equations
inferred← citeshttps://doi.org/10.1007/bfb0072652openalex-snapshot
A comparison of several Mg-methods for the solution of the time-dependent Navier-Stokes equations
inferred← citeshttps://doi.org/10.1007/bfb0106610openalex-snapshot
A validation study of a hybrid fluctuation splitting scheme for transonic inviscid flows
inferred← citeshttps://doi.org/10.1007/s00211-011-0362-7openalex-snapshot
Smoothing factor, order of prolongation and actual multigrid convergence
inferred← citeshttps://doi.org/10.1007/s00348-024-03807-yopenalex-snapshot
Fully determined three-dimensional velocity field in a divergence-free convection experiment with rigid boundary conditions
inferred← citeshttps://doi.org/10.1007/s00419-003-0307-4openalex-snapshot
The normal contact of rough surfaces with fine discretization
inferred← citeshttps://doi.org/10.1007/s10915-006-9087-7openalex-snapshot
Digital Flight: The Last CFD Aeronautical Grand Challenge
inferred← citeshttps://doi.org/10.1007/s11633-024-1521-5openalex-snapshot
Accelerated Elliptical PDE Solver for Computational Fluid Dynamics Based on Configurable U-Net Architecture: Analogy to V-Cycle Multigrid
inferred← citeshttps://doi.org/10.1016/0012-821x(95)00221-wopenalex-snapshot
Constraints on the lateral strength of slabs from three-dimensional dynamic flow models
inferred← citeshttps://doi.org/10.1016/0021-9991(85)90147-0openalex-snapshot
Multi-grid methods for oil reservoir simulation in two and three dimensions
inferred← citeshttps://doi.org/10.1016/0021-9991(87)90164-1openalex-snapshot
Computation of anomalous modes in the Taylor experiment
inferred← citeshttps://doi.org/10.1016/0021-9991(87)90189-6openalex-snapshot
A Lagrangian fractional step method for the incompressible navier-stokes equations on a periodic domain
inferred← citeshttps://doi.org/10.1016/0021-9991(89)90121-6openalex-snapshot
A new multigrid approach to convection problems
inferred← citeshttps://doi.org/10.1016/0024-3795(84)90208-8openalex-snapshot
Multigrid convergence for a singular perturbation problem
inferred← citeshttps://doi.org/10.1016/0045-7825(86)90058-7openalex-snapshot
A calculation procedure for three-dimensional steady recirculating flows using multigrid methods
inferred← citeshttps://doi.org/10.1016/0045-7825(93)90092-copenalex-snapshot
Spectral multigrid techniques for the Navier-Stokes equations
inferred← citeshttps://doi.org/10.1016/0045-7825(94)90007-8openalex-snapshot
Multigrid acceleration for recirculating laminar and turbulent flows computed with a non-orthogonal, collocated finite-volume scheme
inferred← citeshttps://doi.org/10.1016/0045-7825(96)01007-9openalex-snapshot
Multigrid methods to accelerate convergence of element-by-element solution algorithms for viscous incompressible flows
inferred← citeshttps://doi.org/10.1016/0045-7930(87)90013-2openalex-snapshot
An unfactored implicit scheme with multigrid acceleration for the solution of the Navier-Stokes equations
inferred← citeshttps://doi.org/10.1016/0045-7930(93)90020-aopenalex-snapshot
A dual time-stepping method for 3-d, viscous, incompressible vortex flows
inferred← citeshttps://doi.org/10.1016/0045-7930(95)00025-9openalex-snapshot
A critical analysis of multi-dimensional upwinding for the Euler equations
inferred← citeshttps://doi.org/10.1016/0096-3003(83)90018-8openalex-snapshot
Multigrid methods: development of fast solvers
inferred← citeshttps://doi.org/10.1016/0096-3003(83)90020-6openalex-snapshot
Design and implementation of a multigrid code for the Euler equations
inferred← citeshttps://doi.org/10.1016/0096-3003(83)90023-1openalex-snapshot
Algebraic multigrid (AMG): experiences and comparisons
inferred← citeshttps://doi.org/10.1016/0096-3003(86)90102-5openalex-snapshot
Aspects of multigrid methods for problems in three dimensions
inferred← citeshttps://doi.org/10.1016/0096-3003(89)90040-4openalex-snapshot
Two-color fourier analysis of the multigrid method with red-black Gauss-Seidel smoothing
inferred← citeshttps://doi.org/10.1016/0096-3003(90)90048-8openalex-snapshot
Analysis of a multigrid strokes solver
inferred← citeshttps://doi.org/10.1016/0098-1354(89)85003-3openalex-snapshot
Multigrid solution of the diffusion-convection-reaction equations which describe the mass and/or heat transfer from or to a spherical particle
inferred← citeshttps://doi.org/10.1016/0167-7977(87)90020-7openalex-snapshot
Algebraic aspects of finite-element solutions
inferred← citeshttps://doi.org/10.1016/0167-8191(88)90131-7openalex-snapshot
Partitioning and preconditioning of finite element matrices on the DAP
inferred← citeshttps://doi.org/10.1016/0168-9274(86)90003-6openalex-snapshot
Multiple grid and Osher's scheme for the efficient solution of the steady Euler equations
inferred← citeshttps://doi.org/10.1016/0168-9274(94)00061-kopenalex-snapshot
Adaptive multigrid applied to a bipolar transistor problem
inferred← citeshttps://doi.org/10.1016/0168-9274(95)00095-xopenalex-snapshot
Development of semi-coarsening techniques
inferred← citeshttps://doi.org/10.1016/0377-0427(85)90022-6openalex-snapshot
A multigrid method for the Cauchy-Riemann equations based on flux-difference splitting and its extension to the steady Euler equations
inferred← citeshttps://doi.org/10.1016/0377-0427(90)90047-4openalex-snapshot
On the order of prolongations and restrictions in multigrid procedures
inferred← citeshttps://doi.org/10.1016/0377-0427(90)90366-8openalex-snapshot
A note on multigrid for the three-dimensional Poisson equation in cylindrical coordinates
inferred← citeshttps://doi.org/10.1016/0735-1933(96)00014-0openalex-snapshot
A note on the additive correction multigrid method
inferred← citeshttps://doi.org/10.1016/0898-1221(91)90181-3openalex-snapshot
Colouring the discretization graphs arising in the multigrid method
inferred← citeshttps://doi.org/10.1016/0898-1221(96)00039-9openalex-snapshot
A simple cell-centered multigrid method for 3D interface problems
inferred← citeshttps://doi.org/10.1016/0899-8248(90)90013-zopenalex-snapshot
A multigrid approach for the solution of the 2D semiconductor equations
inferred← citeshttps://doi.org/10.1016/0899-8248(91)90015-mopenalex-snapshot
Multigrid methods on parallel computers—A survey of recent developments
inferred← citeshttps://doi.org/10.1016/b978-0-08-037018-7.50011-8openalex-snapshot
Hypercube Supercomputing
inferred← citeshttps://doi.org/10.1016/b978-0-08-099995-1.00003-8openalex-snapshot
Principles of Solution of the Governing Equations
inferred← citeshttps://doi.org/10.1016/b978-008043009-6/50005-4openalex-snapshot
Principles of Solution of the Governing Equations
inferred← citeshttps://doi.org/10.1016/b978-008044506-9/50005-9openalex-snapshot
Principles of Solution of the Governing Equations
inferred← citeshttps://doi.org/10.1016/b978-044482850-7/50067-xopenalex-snapshot
Simulation of incompressible and compressible flows on vector-parallel computers
inferred← citeshttps://doi.org/10.1016/b978-075066594-0/50053-9openalex-snapshot
Iterative Methods for the Resolution of Algebraic Systems
inferred← citeshttps://doi.org/10.1016/j.amc.2012.05.008openalex-snapshot
Multicolor Fourier analysis of the multigrid method for quadratic FEM discretizations
inferred← citeshttps://doi.org/10.1016/j.apnum.2007.11.009openalex-snapshot
More on the order of prolongations and restrictions
inferred← citeshttps://doi.org/10.1016/j.apnum.2007.11.012openalex-snapshot
Space/time multigrid for a fluid–structure-interaction problem
inferred← citeshttps://doi.org/10.1016/j.apnum.2007.11.020openalex-snapshot
A multigrid conjugate gradient method
inferred← citeshttps://doi.org/10.1016/j.apnum.2021.11.013openalex-snapshot
On the convergence analysis of the Tau method applied to fourth-order partial differential equation based on Volterra-Fredholm integral equations
inferred← citeshttps://doi.org/10.1016/j.cam.2011.10.002openalex-snapshot
A multilevel approach for nonnegative matrix factorization
inferred← citeshttps://doi.org/10.1016/j.cam.2017.10.029openalex-snapshot
Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties
inferred← citeshttps://doi.org/10.1016/j.camwa.2013.04.009openalex-snapshot
An efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular grids
inferred← citeshttps://doi.org/10.1016/j.cnsns.2014.06.044openalex-snapshot
Domain decomposition multigrid methods for nonlinear reaction–diffusion problems
inferred← citeshttps://doi.org/10.1016/j.cnsns.2014.10.016openalex-snapshot
Reprint of Domain decomposition multigrid methods for nonlinear reaction–diffusion problems
inferred← citeshttps://doi.org/10.1016/j.compfluid.2005.06.002openalex-snapshot
A large-eddy simulation method for low Mach number flows using preconditioning and multigrid
inferred← citeshttps://doi.org/10.1016/j.compfluid.2014.01.021openalex-snapshot
Algebraic tailoring of discontinuous Galerkin p-multigrid for convection
inferred← citeshttps://doi.org/10.1016/j.compfluid.2017.10.029openalex-snapshot
An implicit algorithm of solving Navier–Stokes equations to simulate flows in anisotropic porous media
inferred← citeshttps://doi.org/10.1016/j.cossms.2006.02.003openalex-snapshot
Multiscale modeling and related hybrid approaches
inferred← citeshttps://doi.org/10.1016/j.cpc.2005.03.097openalex-snapshot
Multiscale solvers and systematic upscaling in computational physics
inferred← citeshttps://doi.org/10.1016/j.cpc.2022.108635openalex-snapshot
Disturbance region update method with preconditioning for steady compressible and incompressible flows
inferred← citeshttps://doi.org/10.1016/j.icarus.2022.115265openalex-snapshot
Convective outgassing efficiency in planetary magma oceans: Insights from computational fluid dynamics
inferred← citeshttps://doi.org/10.1016/j.icheatmasstransfer.2014.03.013openalex-snapshot
Flux conservation principle on construction of residual restriction operators for multigrid method
inferred← citeshttps://doi.org/10.1016/j.jcp.2003.07.035openalex-snapshot
Conservative multigrid methods for Cahn–Hilliard fluids
inferred← citeshttps://doi.org/10.1016/j.jcp.2005.01.005openalex-snapshot
p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier–Stokes equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2006.10.022openalex-snapshot
Dispersion and dissipation properties of the 1D spectral volume method and application to a p-multigrid algorithm
inferred← citeshttps://doi.org/10.1016/j.jcp.2007.02.007openalex-snapshot
A triangular cut-cell adaptive method for high-order discretizations of the compressible Navier–Stokes equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2008.03.026openalex-snapshot
Textbook-efficiency multigrid solver for three-dimensional unsteady compressible Navier–Stokes equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2009.10.014openalex-snapshot
Implicit LU-SGS algorithm for high-order methods on unstructured grid with p-multigrid strategy for solving the steady Navier–Stokes equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2009.11.002openalex-snapshot
A robust high-order residual distribution type scheme for steady Euler equations on unstructured grids
inferred← citeshttps://doi.org/10.1016/j.jcp.2011.11.016openalex-snapshot
Solution of the equation of radiative transfer using a Newton–Krylov approach and adaptive mesh refinement
inferred← citeshttps://doi.org/10.1016/j.jcp.2012.11.047openalex-snapshot
Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains
inferred← citeshttps://doi.org/10.1016/j.jcp.2013.07.035openalex-snapshot
A fast spectral element solver combining static condensation and multigrid techniques
inferred← citeshttps://doi.org/10.1016/j.jcp.2014.01.049openalex-snapshot
Multigrid lattice Boltzmann method for accelerated solution of elliptic equations
inferred← citeshttps://doi.org/10.1016/j.jcp.2015.02.035openalex-snapshot
A coupled ordinates method for solution acceleration of rarefied gas dynamics simulations
inferred← citeshttps://doi.org/10.1016/j.jcp.2018.08.003openalex-snapshot
Time integration of unsteady nonhydrostatic equations with dual time stepping and multigrid methods
inferred← citeshttps://doi.org/10.1016/j.jcp.2019.108868openalex-snapshot
Scaling to the stars – a linearly scaling elliptic solver for p-multigrid
inferred← citeshttps://doi.org/10.1016/j.jngse.2017.07.031openalex-snapshot
Nonlinearity and solution techniques in reservoir simulation: A review
inferred← citeshttps://doi.org/10.1016/j.jocs.2016.06.006openalex-snapshot
A quantitative performance study for Stokes solvers at the extreme scale
inferred← citeshttps://doi.org/10.1016/j.laa.2006.04.012openalex-snapshot
The GLT class as a generalized Fourier analysis and applications
inferred← citeshttps://doi.org/10.1016/j.ocemod.2006.10.002openalex-snapshot
A tree-based solver for adaptive ocean modelling
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