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Reordering and incomplete preconditioning in serial and parallel adaptive mesh refinement and coarsening flow solutions

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

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Parallelization of the ILU(0) preconditioner for CFD problems on shared-memory computers
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Efficient ILU preconditioning and inexact-Newton-GMRES to solve the 2D steady shallow water equations
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Accounting for stability: a posteriori error estimates based on residuals and variational analysis
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Modelling of fluid–structure interactions with the space–time finite elements: Solution techniques
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Stabilized edge‐based finite element simulation of free‐surface flows
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Natural convection of air in a square cavity: A bench mark numerical solution
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Parallel adaptive solution of coupled Rayleigh–Bénard–Marangoni problems with the Navier‐slip
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Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
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Evaluating the LCD algorithm for solving linear systems of equations arising from implicit SUPG formulation of compressible flows
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A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis
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An algorithm for profile and wavefront reduction of sparse matrices
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A simple error estimator and adaptive procedure for practical engineerng analysis
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The effect of ordering on preconditioned GMRES algorithm, for solving the compressible Navier‐Stokes equations
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High‐order compact scheme for the steady stream‐function vorticity equations
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Study on semi‐conjugate direction methods for non‐symmetric systems
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Adaptive Finite Elements
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Adaptive Finite Element Methods for Differential Equations
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The finite element method with Lagrangian multipliers
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The effect of ordering on preconditioned conjugate gradients
inferredcites →https://doi.org/10.1007/s00366-006-0049-3openalex-snapshot
libMesh : a C++ library for parallel adaptive mesh refinement/coarsening simulations
inferredcites →https://doi.org/10.1016/0021-9991(82)90058-4openalex-snapshot
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
inferredcites →https://doi.org/10.1016/0045-7825(76)90007-4openalex-snapshot
A mesh-refinement scheme for finite element computations
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Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
inferredcites →https://doi.org/10.1016/0045-7825(92)90149-eopenalex-snapshot
The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements
inferredcites →https://doi.org/10.1016/0045-7825(93)90189-5openalex-snapshot
Petrov-Galerkin solutions of the incompressible Navier-Stokes equations in primitive variables with adaptive remeshing
inferredcites →https://doi.org/10.1016/0045-7825(93)90205-copenalex-snapshot
Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
inferredcites →https://doi.org/10.1016/b978-012387582-2/50038-1openalex-snapshot
ParaView: An End-User Tool for Large-Data Visualization
inferredcites →https://doi.org/10.1016/j.jcp.2005.10.033openalex-snapshot
Spectral/hp penalty least-squares finite element formulation for the steady incompressible Navier–Stokes equations
inferredcites →https://doi.org/10.1016/s0167-8191(00)00075-2openalex-snapshot
High-performance parallel implicit CFD
inferredcites →https://doi.org/10.1016/s0377-0427(00)00412-xopenalex-snapshot
Iterative solution of linear systems in the 20th century
inferredcites →https://doi.org/10.1051/m2an/197408r201291openalex-snapshot
On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers
inferredcites →https://doi.org/10.1108/09615530010347187openalex-snapshot
h‐adaptive finite element solution of high Rayleigh number thermally driven cavity problem
inferredcites →https://doi.org/10.1108/09615530410517986openalex-snapshot
The influence of the order of fill‐in on the convergence rate for ILU preconditioned iterative solvers
inferredcites →https://doi.org/10.1109/5992.988653openalex-snapshot
Zoltan data management services for parallel dynamic applications
inferredcites →https://doi.org/10.1115/1.1760520openalex-snapshot
Level Set Methods and Dynamic Implicit Surfaces
inferredcites →https://doi.org/10.1137/0713020openalex-snapshot
Comparative Analysis of the Cuthill–McKee and the Reverse Cuthill–McKee Ordering Algorithms for Sparse Matrices
inferredcites →https://doi.org/10.1137/0713023openalex-snapshot
An Algorithm for Reducing the Bandwidth and Profile of a Sparse Matrix
inferredcites →https://doi.org/10.1137/0733033openalex-snapshot
High-Resolution Conservative Algorithms for Advection in Incompressible Flow
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0913035openalex-snapshot
Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/1.9780898718003openalex-snapshot
Iterative Methods for Sparse Linear Systems
inferredcites →https://doi.org/10.1137/1.9780898719703openalex-snapshot
Numerical Simulation in Fluid Dynamics
inferredcites →https://doi.org/10.1137/1031001openalex-snapshot
The Evolution of the Minimum Degree Ordering Algorithm
inferredcites →https://doi.org/10.1137/s1064827597326845openalex-snapshot
Orderings for Incomplete Factorization Preconditioning of Nonsymmetric Problems
inferredcites →https://doi.org/10.1145/1089014.1089021openalex-snapshot
An overview of the Trilinos project
inferredcites →https://doi.org/10.1145/800195.805928openalex-snapshot
Reducing the bandwidth of sparse symmetric matrices
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The Tau Parallel Performance System
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Tinkertoy parallel programming: a case study with Zoltan
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Finite Elements: Fluid Mechanics.
inferredcites →https://doi.org/10.6028/jres.049.044openalex-snapshot
Methods of conjugate gradients for solving linear systems

What points at this work

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

inferred← citeshttps://doi.org/10.1002/fld.3910openalex-snapshot
A residual‐based Allen–Cahn phase field model for the mixture of incompressible fluid flows
inferred← citeshttps://doi.org/10.1007/978-3-030-24289-3_1openalex-snapshot
A Variant of the George-Liu Algorithm
inferred← citeshttps://doi.org/10.1007/978-3-030-24289-3_3openalex-snapshot
An Experimental Analysis of Heuristics for Profile Reduction
inferred← citeshttps://doi.org/10.1007/978-3-030-58799-4_2openalex-snapshot
The Influence of Reordering Algorithms on the Convergence of a Preconditioned Restarted GMRES Method
inferred← citeshttps://doi.org/10.1007/978-3-319-95162-1_9openalex-snapshot
Finding a Starting Vertex for the Reverse Cuthill-McKee Method for Bandwidth Reduction: A Comparative Analysis Using Asymmetric Matrices
inferred← citeshttps://doi.org/10.1007/s00366-019-00801-5openalex-snapshot
Evolving reordering algorithms using an ant colony hyperheuristic approach for accelerating the convergence of the ICCG method
inferred← citeshttps://doi.org/10.1016/j.compfluid.2013.06.008openalex-snapshot
Parallel adaptive simulation of gravity currents on the lock-exchange problem
inferred← citeshttps://doi.org/10.1016/j.jocs.2015.01.005openalex-snapshot
Performance evaluation of block-diagonal preconditioners for the divergence-conforming B-spline discretization of the Stokes system
inferred← citeshttps://doi.org/10.1108/ec-03-2013-0077openalex-snapshot
An efficient preconditioned Krylov subspace method for large-scale finite element equations with MPC using Lagrange multiplier method
inferred← citeshttps://doi.org/10.1108/ec-07-2013-0184openalex-snapshot
A combined reordering procedure for preconditioned GMRES applied to solving equations using Lagrange multiplier method
inferred← citeshttps://doi.org/10.1109/wsc40007.2019.9004742openalex-snapshot
The Effect of Symmetric Permutations on the Convergence of a Restarted GMRES Solver with ILU-Type Preconditioners
inferred← citeshttps://doi.org/10.19153/cleiej.15.3.1openalex-snapshot
Parallel Adaptive Simulation of Coupled Incompressible Viscous Flow and Advective-Diffusive Transport Using Stabilized FEM Formulation
inferred← citeshttps://doi.org/10.5540/03.2018.006.02.0422openalex-snapshot
Um análise comparativa entre quatro algoritmos para reduções de largura de banda de matrizes
inferred← citeshttps://doi.org/10.5540/tema.2018.019.01.1openalex-snapshot
A Novel Approach to Find Pseudo–peripheral Vertices for Snay’s Heuristic
inferred← citeshttps://doi.org/10.5540/tema.2019.020.03.497openalex-snapshot
An Experimental Analysis of Three Pseudo-peripheral Vertex Finders in conjunction with the Reverse Cuthill-McKee Method for Bandwidth Reduction
inferred← citeshttps://doi.org/10.59254/sbpo-2018-85523openalex-snapshot
A pseudoperipheral vertex finder based on the George-Liu and Kaveh's B algorithms for small symmetric matrices
inferred← citeshttps://doi.org/10.70675/a120459fzd86bz4874z9e5bz51c4b19ce8b9openalex-snapshot
Adaptive control for iterative solvers in an FE framework with mesh adaptation, for CFD simulations of industrial processes
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