Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis

Dmitri Kuzmin

doi:10.1002/fld.3707

Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3707 ◽

2012 ◽

Vol 71 (9) ◽

pp. 1178-1190 ◽

Cited By ~ 29

Author(s):

Dmitri Kuzmin

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximations ◽

Slope Limiting

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L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

Journal of Inequalities and Applications ◽

10.1155/2010/895187 ◽

2010 ◽

Vol 2010 ◽

pp. 1-17 ◽

Cited By ~ 2

Author(s):

Mi Ray Ohm ◽

Hyun Young Lee ◽

Jun Yong Shin

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Sobolev Equations ◽

Galerkin Approximations ◽

Nonlinear Sobolev Equations ◽

Crank Nicolson

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Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations

Numerical Linear Algebra with Applications ◽

10.1002/nla.504 ◽

2006 ◽

Vol 13 (9) ◽

pp. 753-770 ◽

Cited By ~ 37

Author(s):

Veselin A. Dobrev ◽

Raytcho D. Lazarov ◽

Panayot S. Vassilevski ◽

Ludmil T. Zikatanov

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Equations ◽

Second Order ◽

Galerkin Approximations ◽

Second Order Elliptic Equations

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On Stability of Discontinuous Galerkin Approximations to Anisotropic Stokes Equations

Recent Advances in Differential Equations and Applications - SEMA SIMAI Springer Series ◽

10.1007/978-3-030-00341-8_13 ◽

2019 ◽

pp. 211-228

Author(s):

Francisco Guillén-González ◽

María Victoria Redondo-Neble ◽

José Rafael Rodríguez-Galván

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Galerkin Approximations

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Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2007006 ◽

2007 ◽

Vol 41 (1) ◽

pp. 21-54 ◽

Cited By ~ 47

Author(s):

Paola F. Antonietti ◽

Blanca Ayuso

Keyword(s):

Domain Decomposition ◽

Discontinuous Galerkin ◽

Elliptic Problems ◽

Galerkin Approximations

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Ana posteriorierror bound for discontinuous Galerkin approximations of convection–diffusion problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx065 ◽

2017 ◽

Vol 39 (1) ◽

pp. 34-60

Author(s):

Emmanuil H Georgoulis ◽

Edward Hall ◽

Charalambos Makridakis

Keyword(s):

Discontinuous Galerkin ◽

Convection Diffusion ◽

Galerkin Approximations ◽

Diffusion Problems

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Efficient time integration for discontinuous Galerkin approximations of linear wave equations

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

10.1002/zamm.201300306 ◽

2014 ◽

Vol 95 (3) ◽

pp. 237-259 ◽

Cited By ~ 19

Author(s):

Marlis Hochbruck ◽

Tomislav Pažur ◽

Andreas Schulz ◽

Ekkachai Thawinan ◽

Christian Wieners

Keyword(s):

Discontinuous Galerkin ◽

Wave Equations ◽

Time Integration ◽

Linear Wave ◽

Galerkin Approximations ◽

Linear Wave Equations

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A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love buckling problem

Computational Mechanics ◽

10.1007/s00466-015-1204-8 ◽

2015 ◽

Vol 56 (5) ◽

pp. 815-827 ◽

Cited By ~ 3

Author(s):

Peter Hansbo ◽

Mats G. Larson

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations

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A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-016-0259-9 ◽

2016 ◽

Vol 70 (2) ◽

pp. 608-630 ◽

Cited By ~ 9

Author(s):

Paola F. Antonietti ◽

Marco Sarti ◽

Marco Verani ◽

Ludmil T. Zikatanov

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

High Order ◽

Additive Schwarz ◽

Galerkin Approximations ◽

Schwarz Preconditioner

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A peridynamic failure analysis of fiber-reinforced composite laminates using finite element discontinuous Galerkin approximations

International Journal of Fracture ◽

10.1007/s10704-018-0317-4 ◽

2018 ◽

Vol 214 (1) ◽

pp. 49-68 ◽

Cited By ~ 3

Author(s):

Bo Ren ◽

C. T. Wu ◽

Pablo Seleson ◽

Danielle Zeng ◽

Dandan Lyu

Keyword(s):

Finite Element ◽

Failure Analysis ◽

Discontinuous Galerkin ◽

Composite Laminates ◽

Fiber Reinforced ◽

Fiber Reinforced Composite ◽

Reinforced Composite ◽

Galerkin Approximations

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Implicit Time Integration of Discontinuous Galerkin Approximations to the Navier-Stokes Equations

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-0774 ◽

2020 ◽

Author(s):

Luigi Martinelli ◽

Mark Lohry

Keyword(s):

Discontinuous Galerkin ◽

Stokes Equations ◽

Time Integration ◽

Navier Stokes ◽

Implicit Time ◽

Navier Stokes Equations ◽

Implicit Time Integration ◽

Galerkin Approximations

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