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

Alvaro Pe de la Riva; Carmen Rodrigo; Francisco J. Gaspar

doi:10.1137/18m1194407

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 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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On a robust multigrid solver

Computing ◽

10.1007/bf02238516 ◽

1996 ◽

Vol 56 (3) ◽

pp. 303-322 ◽

Cited By ~ 11

Author(s):

A. Reusken

Keyword(s):

Multigrid Solver ◽

Robust Multigrid

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A robust multigrid solver on parallel computers

Proceedings 8th Euromicro Workshop on Parallel and Distributed Processing ◽

10.1109/empdp.2000.823393 ◽

2002 ◽

Author(s):

R.S. Montero ◽

M. Prieto ◽

I.M. Llorente ◽

E. Tirado

Keyword(s):

Parallel Computers ◽

Multigrid Solver ◽

Robust Multigrid

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A Parallel Multigrid Solver for Multi-Patch Isogeometric Analysis

Lecture Notes in Computational Science and Engineering - Advanced Finite Element Methods with Applications ◽

10.1007/978-3-030-14244-5_11 ◽

2019 ◽

pp. 205-219

Author(s):

Christoph Hofer ◽

Stefan Takacs

Keyword(s):

Isogeometric Analysis ◽

Multigrid Solver ◽

Parallel Multigrid

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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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Navier--Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem

SIAM Journal on Scientific Computing ◽

10.1137/s1064827500374881 ◽

2002 ◽

Vol 23 (5) ◽

pp. 1683-1706 ◽

Cited By ~ 18

Author(s):

Maxim A. Olshanskii ◽

Arnold Reusken

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Multigrid Solver ◽

Navier Stokes Equations ◽

Robust Multigrid

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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 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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Viscous flow analysis using a parallel unstructured multigrid solver

AIAA Journal ◽

10.2514/3.14651 ◽

2000 ◽

Vol 38 ◽

pp. 2067-2076

Author(s):

Dimitri J. Mavriplis

Keyword(s):

Viscous Flow ◽

Flow Analysis ◽

Multigrid Solver

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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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