Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces

Clemens Hofreither; Stefan Takacs

doi:10.1137/16m1085425

Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces

SIAM Journal on Numerical Analysis ◽

10.1137/16m1085425 ◽

2017 ◽

Vol 55 (4) ◽

pp. 2004-2024 ◽

Cited By ~ 29

Author(s):

Clemens Hofreither ◽

Stefan Takacs

Keyword(s):

Isogeometric Analysis ◽

Robust Multigrid

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A robust multigrid method for Isogeometric Analysis in two dimensions using boundary correction

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.04.003 ◽

2017 ◽

Vol 316 ◽

pp. 22-42 ◽

Cited By ~ 19

Author(s):

Clemens Hofreither ◽

Stefan Takacs ◽

Walter Zulehner

Keyword(s):

Isogeometric Analysis ◽

Multigrid Method ◽

Two Dimensions ◽

Robust Multigrid ◽

Boundary Correction

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Robust multigrid solvers for the biharmonic problem in isogeometric analysis

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.09.017 ◽

2019 ◽

Vol 77 (1) ◽

pp. 105-124 ◽

Cited By ~ 7

Author(s):

Jarle Sogn ◽

Stefan Takacs

Keyword(s):

Isogeometric Analysis ◽

Biharmonic Problem ◽

Multigrid Solvers ◽

Robust Multigrid

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A Robust Multigrid Solver for Isogeometric Analysis Based on Multiplicative Schwarz Smoothers

SIAM Journal on Scientific Computing ◽

10.1137/18m1194407 ◽

2019 ◽

Vol 41 (5) ◽

pp. S321-S345 ◽

Cited By ~ 3

Author(s):

Alvaro Pe de la Riva ◽

Carmen Rodrigo ◽

Francisco J. Gaspar

Keyword(s):

Isogeometric Analysis ◽

Multigrid Solver ◽

Robust Multigrid

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A COUPLING OF MULTISCALE FINITE ELEMENT METHOD AND ISOGEOMETRIC ANALYSIS

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2020034287 ◽

2020 ◽

Vol 18 (4) ◽

pp. 439-454

Author(s):

Mateusz Dryzek ◽

Witold Cecot

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Isogeometric Analysis ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Element Method

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Isogeometric Analysis in LS-DYNA

10.26226/morressier.5f5f8e69aa777f8ba5bd60d2 ◽

2020 ◽

Author(s):

David Benson

Keyword(s):

Isogeometric Analysis

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A STEP BY STEP PROCEDURE TO PERFORM ISOGEOMETRIC ANALYSIS OF BEAM AND BAR PROBLEMS IN CIVIL ENGINEERING INCLUDING SIZING OPTIMISATION OF A BEAM

i-manager’s Journal on Structural Engineering ◽

10.26634/jste.7.1.14283 ◽

2018 ◽

Vol 7 (1) ◽

pp. 13

Author(s):

K.N.V. CHANDRASEKHAR ◽

N.S.S. SAHITHI ◽

◽

Keyword(s):

Isogeometric Analysis ◽

Civil Engineering ◽

Step Procedure

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Isogeometric analysis of cracks with peridynamics

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113700 ◽

2021 ◽

Vol 377 ◽

pp. 113700

Author(s):

Yang Xia ◽

Xianghui Meng ◽

Guozhe Shen ◽

Guojun Zheng ◽

Ping Hu

Keyword(s):

Isogeometric Analysis

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Stochastic Isogeometric Analysis for Reliability Evaluation of Shell Structures Based on Multi-scale Support Vector Regression

Proceedings of the 2020 4th International Conference on Vision, Image and Signal Processing ◽

10.1145/3448823.3448873 ◽

2020 ◽

Author(s):

Minglong Yang ◽

Jin Cheng ◽

Yunkun Xu ◽

Zhenyu Liu

Keyword(s):

Support Vector Regression ◽

Isogeometric Analysis ◽

Reliability Evaluation ◽

Shell Structures ◽

Support Vector ◽

Multi Scale

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Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113615 ◽

2021 ◽

pp. 113615

Author(s):

Ye Ji ◽

Ying-Ying Yu ◽

Meng-Yun Wang ◽

Chun-Gang Zhu

Keyword(s):

Isogeometric Analysis ◽

Control Points ◽

High Quality

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Shape Optimization of Rotating Electric Machines using Isogeometric Analysis

IEEE Transactions on Energy Conversion ◽

10.1109/tec.2021.3061271 ◽

2021 ◽

pp. 1-1

Author(s):

Melina Merkel ◽

Peter Gangl ◽

Sebastian Schops

Keyword(s):

Shape Optimization ◽

Isogeometric Analysis ◽

Electric Machines

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