Comparison of continuous and discontinuous Galerkin approaches for variable-viscosity Stokes flow

Ragnar S. Lehmann; Mária Lukáčová-Medvid'ová; Boris J. P. Kaus; Anton A. Popov

doi:10.1002/zamm.201400274

Comparison of continuous and discontinuous Galerkin approaches for variable-viscosity Stokes flow

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201400274 ◽

2015 ◽

Vol 96 (6) ◽

pp. 733-746 ◽

Cited By ~ 1

Author(s):

Ragnar S. Lehmann ◽

Mária Lukáčová-Medvid'ová ◽

Boris J. P. Kaus ◽

Anton A. Popov

Keyword(s):

Discontinuous Galerkin ◽

Stokes Flow ◽

Variable Viscosity

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A hybridizable discontinuous Galerkin method for Stokes flow

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.10.007 ◽

2010 ◽

Vol 199 (9-12) ◽

pp. 582-597 ◽

Cited By ~ 119

Author(s):

N.C. Nguyen ◽

J. Peraire ◽

B. Cockburn

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Flow ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

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Piecewise divergence-free discontinuous Galerkin methods for Stokes flow

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.975 ◽

2006 ◽

Vol 24 (5) ◽

pp. 355-366 ◽

Cited By ~ 12

Author(s):

Peter Hansbo ◽

Mats G. Larson

Keyword(s):

Discontinuous Galerkin ◽

Stokes Flow ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Divergence Free

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Asymptotic analysis of the Stokes flow with variable viscosity in a thin elastic channel

Networks & Heterogeneous Media ◽

10.3934/nhm.2010.5.783 ◽

2010 ◽

Vol 5 (4) ◽

pp. 783-812 ◽

Cited By ~ 9

Author(s):

Grigory Panasenko ◽

◽

Ruxandra Stavre ◽

Keyword(s):

Asymptotic Analysis ◽

Stokes Flow ◽

Variable Viscosity ◽

Elastic Channel

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The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow

SIAM Journal on Numerical Analysis ◽

10.1137/080726653 ◽

2009 ◽

Vol 47 (2) ◽

pp. 1092-1125 ◽

Cited By ~ 65

Author(s):

Bernardo Cockburn ◽

Jayadeep Gopalakrishnan

Keyword(s):

Discontinuous Galerkin ◽

Stokes Flow ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods

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Analytical benchmark solution for Stokes flow with variable viscosity in spherical layer

Progress in Computational Fluid Dynamics An International Journal ◽

10.1504/pcfd.2018.089501 ◽

2018 ◽

Vol 18 (1) ◽

pp. 56 ◽

Cited By ~ 2

Author(s):

Igor Y. Popov ◽

Ilya Makeev ◽

Irina V. Blinova

Keyword(s):

Stokes Flow ◽

Variable Viscosity ◽

Spherical Layer ◽

Benchmark Solution

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Adaptive discontinuous Galerkin methods for solving an incompressible Stokes flow problem with slip boundary condition of frictional type

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112700 ◽

2020 ◽

Vol 371 ◽

pp. 112700 ◽

Cited By ~ 3

Author(s):

Fei Wang ◽

Min Ling ◽

Weimin Han ◽

Feifei Jing

Keyword(s):

Boundary Condition ◽

Discontinuous Galerkin ◽

Stokes Flow ◽

Discontinuous Galerkin Methods ◽

Flow Problem ◽

Slip Boundary Condition ◽

Galerkin Methods ◽

Slip Boundary ◽

Incompressible Stokes Flow

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Domain Decomposition for Discontinuous Galerkin Method with Application to Stokes Flow

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering ◽

10.1007/3-540-26825-1_66 ◽

2005 ◽

pp. 623-630

Author(s):

Piotr Krzyżanowski

Keyword(s):

Domain Decomposition ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Flow

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Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.12.015 ◽

2009 ◽

Vol 198 (21-26) ◽

pp. 1691-1700 ◽

Cited By ~ 49

Author(s):

Carsten Burstedde ◽

Omar Ghattas ◽

Georg Stadler ◽

Tiankai Tu ◽

Lucas C. Wilcox

Keyword(s):

Stokes Flow ◽

Variable Viscosity ◽

Flow Problems ◽

Adaptive Solution

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Symmetric Interior Penalty Discontinuous Galerkin Discretizations and Block Preconditioning for Heterogeneous Stokes Flow

SIAM Journal on Scientific Computing ◽

10.1137/16m1084912 ◽

2017 ◽

Vol 39 (6) ◽

pp. B1021-B1042

Author(s):

D. E. Charrier ◽

D. A. May ◽

S. M. Schnepp

Keyword(s):

Discontinuous Galerkin ◽

Stokes Flow ◽

Interior Penalty ◽

Block Preconditioning

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A Hybrid Grid-Particle Method for Moving Bodies in 3D Stokes Flow with Variable Viscosity

SIAM Journal on Scientific Computing ◽

10.1137/120892921 ◽

2013 ◽

Vol 35 (4) ◽

pp. B925-B949 ◽

Cited By ~ 17

Author(s):

Robin Chatelin ◽

Philippe Poncet

Keyword(s):

Stokes Flow ◽

Variable Viscosity ◽

Particle Method ◽

Hybrid Grid ◽

Moving Bodies

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