Robust multigrid solvers for the biharmonic problem in isogeometric analysis-Reference-Cited by-同舟云学术

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Robust multigrid solvers for the biharmonic problem in isogeometric analysis

Published:2019-01 Issue:1 Volume:77 Page:105-124
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Sogn Jarle,Takacs Stefan^ORCID

Funder

Austrian Science Fund, Austria

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference33 articles.

1. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement;Hughes;Comput. Methods Appl. Mech. Engrg.,2005

2. Mathematical analysis of variational isogeometric methods;Beirão da Veiga;Acta Numer.,2014

3. The Finite Element Method for Elliptic Problems;Ciarlet,2002

4. Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms, Vol. 5;Girault,2012

5. Robust preconditioners for PDE-constrained optimization with limited observations;Mardal;BIT Numer. Math.,2015

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1. Approximate inner solvers for block preconditioning of the incompressible Navier–Stokes problems discretized by isogeometric analysis;International Journal for Numerical Methods in Fluids;2024-03-07

2. Multigrid solvers for isogeometric discretizations of the second biharmonic problem;Mathematical Models and Methods in Applied Sciences;2023-05-29

3. An approximate C1 multi-patch space for isogeometric analysis with a comparison to Nitsche’s method;Computer Methods in Applied Mechanics and Engineering;2022-11

4. Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations;Computer Methods in Applied Mechanics and Engineering;2022-02

5. Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis;SIAM Journal on Numerical Analysis;2022-01-24

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