Refined isogeometric analysis for a preconditioned conjugate gradient solver
type: Item
instance of: scholarly article
title: Refined isogeometric analysis for a preconditioned conjugate gradient solver
zbMATH Open document ID: 1440.65162
author: Yanyan Li
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-07T00:00:00Z
full work available at URL: http://hdl.handle.net/10754/627135
Mathematics Subject Classification ID: 65N22
zbMATH DE Number: 7186867
zbMATH Keywords: isogeometric analysis (IGA)
zbMATH Keywords: finite element analysis (FEA)
zbMATH Keywords: refined isogeometric analysis (rIGA)
zbMATH Keywords: conjugate gradient
zbMATH Keywords: incomplete Lu factorization
zbMATH Keywords: k-refinement
describes a project that uses: PETSc
describes a project that uses: LAPACK
describes a project that uses: MUMPS
describes a project that uses: PetIGA
MaRDI profile type: Publication
OpenAlex ID: W2788767353
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Isogeometric analysis of the Cahn-Hilliard phase-field model
cites work: Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
cites work: Isogeometric fluid-structure interaction: Theory, algorithms, and computations
cites work: An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves
cites work: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
cites work: Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
cites work: Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall
cites work: The role of continuity in residual-based variational multiscale modeling of turbulence
cites work: Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method
cites work: Simulation of laminar and turbulent concentric pipe flows with the isogeometric variational multiscale method
cites work: Discretizations in isogeometric analysis of Navier-Stokes flow
cites work: Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics
cites work: Isogeometric analysis: an overview and computer implementation aspects
cites work: \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method
cites work: Studies of refinement and continuity in isogeometric structural analysis
cites work: Isogeometric analysis of structural vibrations
cites work: A fully ``locking-free'' isogeometric approach for plane linear elasticity problems: a stream function formulation
cites work: Robustness of isogeometric structural discretizations under severe mesh distortion
cites work: Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations
cites work: IsoGeometric Analysis: Stable elements for the 2D Stokes equation
cites work: Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations
cites work: Improving stability of stabilized and multiscale formulations in flow simulations at small time steps
cites work: Weak Dirichlet boundary conditions for wall-bounded turbulent flows
cites work: Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow
cites work: Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device
cites work: Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls
cites work: Multiphysics model for blood flow and drug transport with application to patient-specific coronary artery flow
cites work: The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers
cites work: On the computational efficiency of isogeometric methods for smooth elliptic problems using direct solvers
cites work: The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite Elements
cites work: A survey on direct solvers for Galerkin methods
cites work: The value of continuity: refined isogeometric analysis and fast direct solvers
cites work: Parallel iterative methods for sparse linear systems
cites work: Methods of conjugate gradients for solving linear systems
cites work: Impact of element-level static condensation on iterative solver performance
cites work: PetIGA: a framework for high-performance isogeometric analysis
cites work: Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model
cites work: On the thermodynamics of the Swift-Hohenberg theory
cites work: A fully asynchronous multifrontal solver using distributed dynamic scheduling
cites work: Balancing domain decomposition
cites work: Convergence of a balancing domain decomposition by constraints and energy minimization
cites work: Implementation and scalability analysis of balancing domain decomposition methods
DOI: 10.1016/J.CMA.2018.02.006
description: scientific article; zbMATH DE number 7186867